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Homework 4 - LC-3 Datapath

Homework 4 - LC-3 Datapath

Contents
1 Overview 3
1.1 Purpose . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.2 Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.3 Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2 Introduction 4
2.1 The LC-3’s Microcontroller . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
2.2 Files Provided . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.3 Tasks You Must Complete . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
3 Using the CircuitSim File (not required!) 6
4 Writing the Microcode 6
4.1 General Instructions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
4.2 Tips, Tricks, and Recommendations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
4.3 How to Test your Microcode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
5 Checking Your Work 8
5.1 Using the Manual LC-3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
5.1.1 Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
6 Setup 9
7 Deliverables 10
8 Demos 10
9 Rules and Regulations 10
9.1 General Rules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
9.2 Submission Conventions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
9.3 Submission Guidelines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
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9.4 Syllabus Excerpt on Academic Misconduct . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
9.5 Is collaboration allowed? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
10 Appendix: Datapath Control Signals 13
10.1 MUX Values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
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1 Overview
1.1 Purpose
The purpose of this assignment is for you to understand the datapath and the state machine of the LC-3
processor (as presented in the Patt textbook, and Lecture and Lab). You will complete the microcode for
multiple LC-3 machine instructions. The microcode controls the finite state machine, and each machine
instruction includes one or more states.
Note: The LC-3 implementation in this assignment is simplified, and does not include all the features or
components of the full LC-3 from the Patt textbook or Lecture or Lab.
1.2 Task
Please read this entire document before starting. It includes many details of the assignment, as well as tips,
tricks, and references that will help you.
• You will complete the microcode for many of the LC-3 machine code instructions, entering data in the
microcode.xlsx spreadsheet we have provided. You may test your microcode, using the ROM.dat file
and importing data into FSM subcircuit of the LC3.sim circuitsim file.
We have also provided a local checker, and the autograder on gradescope.
1.3 Criteria
Your grade on this assignment has two parts: the submissions (LC3.sim and microcode.xlsx), and a demo
(demonstration of your solution and knowledge to a TA).
• The submissions are worth a total of 50% of your homework grade. As with prior assignments, the
autograder will give you an approximation of your final grade on this portion of the assignment.
• You will also demonstrate your solution, and understanding of the concepts, to one of your TAs for 50%
of your homework grade. The demos will happen after the assignment is due, and we will announce
details closer to that time. You are responsible for signing up for and then attending a demo slot at
that time.
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2 Introduction
Hello and welcome to Homework 4! In this homework, you’ll develop familiarity with the functionality and
implementation of the LC-3 Datapath that we’ve covered in class. You’ll be responsible for writing the
microcode for the bulk of LC-3 instructions. We have only provided microcode for the JSR/JSRR, BR, and
HALT instructions.
Please read through the entire document before starting and acquaint yourself with the rules
and submission policies stated in the syllabus. Often times things are elaborated on below where they
are introduced, so reading the entire document can give you a better grasp on things. Start early and if
you get stuck, there’s always the Ed Discussion page or come visit us in office hours.
2.1 The LC-3’s Microcontroller
The LC-3 datapath we’ve discussed in class contains a lot of pieces very similar to circuits we’ve seen or even
made before (e.g. an ALU, a register file with 8 edge-triggered general purpose registers, a RAM unit, etc.).
One piece we’ve mostly referred to as a “black-box” in the past is the microcontroller. It’s responsible for
controlling the entire datapath, and getting it to properly execute the instructions that we give it. That’s
a big task! So how does the microcontroller actually work? In this homework, we’ll actually write the
“microcode” which allows the microcontroller to function.
The microcontroller, shown above, is a finite state machine. It has 59 possible states (holy dancing crab!),
and because it is implemented in the “binary reduced” style, it needs 6 bits to store all its possible states. It
also has 49 output bits of output flags, including 10 which are used to determine the next state and 39 which
extend throughout the datapath to control other pieces of the LC-3. That would be a lot of very complex
hardware—if it were built entirely in hardware.
It turns out there is an easier way. We can actually use a ROM (Read-only Memory) in order to specify
the behavior of each distinct state in the state machine (e.g. each instruction will map to a series of entries
in the ROM. Each entry in the ROM represents something called a micro-state, which is an individual
state of the finite state machine and a potentially a component of a slightly larger sequence of states known
as a macro-state. FETCH is a macro-state, and each of the execute stages of LC-3 instructions is also a
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macro-state. Each of the macro-states will require between 1-5 micro-states to complete, depending on the
complexity of the instruction.
What does a ROM entry look like? We encourage you to go ahead and open up microcode.xlsx, on the
microcode sheet, to follow along.
A ROM entry is basically a long binary string. The last few bits of it cover the transition to the next
state—you don’t need to worry about this at all during this homework, so we’ve covered it in dark grey on
the right. Do NOT modify the NEXT bits, or stuff will break. Each of the other bits corresponds to a signal
asserted onto the datapath during that clock cycle. For this homework, we only require that you implement
19 of the signals asserted onto the datapath (notice that three of these are 2-bit signals).
We’ve also simplified and removed a number of micro-states which aren’t directly a part of the LC-3’s main
instructions. There are only 36 micro-states in this homework. We’ve also given you the microcode for JSR,
JSRR, BR, and HALT. Your task is to fill in the rest and finish the LC-3 microcontroller!
2.2 Files Provided
• LC3.sim - a large CircuitSim file containing the LC-3 AND a “Manual LC-3” which does not need to
be modified in any way but is simply present as a tool for you while writing microcode. Once again,
you do not need to modify any subcircuits in this file.
• microcode.xlsx - an Excel document in which you will write your microcode. Do not touch cells
that have been blacked out and do not edit the output sheet directly.
• ROM.dat - a text file which you can paste your microcode into and then import into the LC-3.
• tests/ - a subdirectory which contains a number of test cases you can use to verify the functionality
of your circuit and microcode.
• hw4-tester.jar - a local tester you can use to verify the functionality of your CC-logic, PC, and ALU
subcircuits. This tester is also available on Gradescope (where it will be a part of your grade).
• LC-3InstructionsDetail.pdf - a PDF with descriptions and pseudocode for each instruction.
2.3 Tasks You Must Complete
1. Complete the microcode in microcode.xlsx, in the microcode sheet.
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3 Using the CircuitSim File (not required!)
The LC-3 datapath you will be working with for this homework, as contained in the LC3.sim file, is a
complete but simpler version of the LC-3 datapth you might encounter in your textbook’s appendix C. This
is due to the lack of IO related components in the LC-3 datapath that you will be working on as these
components and how they are utilized are beyond the scope of this particular homework, though they will
be encountered in a later part of this course. As such, you can ignore the components not present in the
LC3.sim file as they appear in the textbook. We have provided you with this built LC-3 datapath for your
own understanding, but you do not need to modify anything in this file in order to receive credit
for this homework.
4 Writing the Microcode
4.1 General Instructions
• Now that you’ve developed some familiarity with the datapath ( and perhaps tried to “act as the
microcontroller” to execute instructions on the Manual LC-3 subcircuit - see the “checking your work”
section for information on this), you can complete the homework: writing the microcode for a number
of micro-instructions on the LC-3!
• In microcode.xlsx Excel document, microcode sheet, there exist a number of macro-states. Among
them are FETCH and the execute stages for most instructions supported by the LC-3 (we’ve removed
several macro-states related to trap and interrupt handling). For each macro-state, we’ve provided
space for the micro-states which will make up that macro-state, and for each micro-state, we’ve handled
all of the logic related to transitioning to the next micro-state. We’ve also implemented a pretty small
subset of the macro-states in order to provide inspiration to you, our students.
• You should complete all the remaining macro-states by filling in their micro-states.
– If you notice that the output column to the right of the blacked-out columns (column AH) is
showing artifacts like #NAME?, try opening the Excel spreadsheet in your Georgia Tech Office 365
Online Excel workspace. Sign in to Office 365 with Georgia Tech credentials, select ‘Excel’, and
then choose ‘Upload and open’ to edit the excel sheet online.
4.2 Tips, Tricks, and Recommendations
Firstly, note that the LC-3 in this homework is not exactly the same as the LC-3 presented in the book. The
processor in Homework 4 is an alternate implementation of a somewhat simplified subset of the LC-3 ISA.
Here are some notable differences between the two:
• The instruction set used by the LC-3 in Homework 4 does not have a TRAP instruction.
• In the regular LC-3, halting is handled by a trap. In Homework 4, this opcode (1111) is taken up by a
single ”HALT” instruction that just loops infinitely. The LC-3 in Homework 4 does not have circuitry
for handling interrupts/traps/exceptions/etc.
• The state machine used by the LC-3 in Homework 4 numbers its states differently from those in the
book, and the microcontroller signals are a little different. The LC-3 in Homework 4 assumes that
memory reads/writes take a single clock cycle like in CircuitSim, while in practice they take much
longer.
• The LC-3 in Homework 4 does not include I/O.
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Secondly, the microcode is given in a somewhat confusing order. We recommend completing the microcode
in the following order to make testing go smoothly:
• FETCH (you can’t execute any instructions if you can’t fetch any instructions!)
• ADD
• AND
• NOT
• LEA
• JMP
• LD
• ST
• LDR
• STR
• LDI
• STI
4.3 How to Test your Microcode
At any time that you want to test your microcode, you can export it from the .xlsx file and apply it to LC-3
hardware by following these steps. IMPORTANT NOTE: Passing all of the tests provided does
not guarantee that you have a functional datapath, any number of coincidences could cause
you to get the correct output with incorrect functionality. As always, we reserve the right to
grade with additional test cases.
1. Go to the output sheet of microcode.xlsx
2. Copy all of column D from row 1 through row 64
3. Paste the result into ROM.dat
4. Ensure that ROM.dat is in the same directory as ./cs2110docker.sh (or some subdirectory)
5. In Docker CircuitSim, open LC3.sim. Navigate to the ‘Fsm’ subcircuit. This circuit contains the
microcontroller.
6. Right-click on the ROM and select “Edit contents.”
7. Select “Load from file”
8. navigate to and select “ROM.dat.” This will load the ROM.
9. Navigate to the ‘LC-3’ subcircuit.
10. You can now load a program into the RAM, following the instructions above in the Manual LC-3
sections.
11. To run the LC-3, you can manually click through the CLK signal or use ‘Ctrl-K’ to start or stop the
automatic clock. After your program has stopped executing (you can tell when it’s finished running
because it will HALT and the datapath will stop changing).
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12. Tests inside the tests/ directory have a comment at the end of the .asm file which explains the system
state after the end of the program’s execution. To test whether the program acted correctly, go to the
‘LC-3’ circuit and double-click into the ‘REG FILE’ element that is placed in the datapath. Note:
you should not just click into the ‘REG FILE’ subcircuit, as this will not properly load the state of
the specific ‘REG FILE’ element that’s built into the LC-3, just some generic REG FILE.
5 Checking Your Work
Once complete, run the autograder
java -jar hw4-tester.jar
inside the Docker container in the command prompt in the same directory as your LC3.sim file.
If all of the relevant tests pass, you’ve completed this part of the homework. Congrats!
If all of the relevant tests do not pass, and you would like to double check your own understanding of how
your microcode interacts with the LC-3 Datapath, you can use the “Manual LC-3” subcircuit provided in
the homework file. NOTE: This is an ungraded part of the homework that you do not need to
use to get full points on this homework. This is supposed to be used as a debugging tool to
help you understand how to complete the homework.
5.1 Using the Manual LC-3
• Once you have your PC, CC-Logic, and ALU complete you can begin working on the meat of this
homework, understanding how LC-3 works.
• In lecture and lab we have covered the signals in the datapath and how they are used when tracing an
instruction.
• The first thing you will want to do is use the Custom-Bus, GateBUS, and LD.IR signals to set a custom
IR value on the next rising edge. Until you figure out the states for fetch, you can use these steps to
set your IR with any instruction you want to work on.
• Once you have an idea of how fetch works, you can load some instruction(s) in the RAM. In order to
do that:
1. right-click the RAM near the bottom of the Manual LC-3 circuit
2. select “edit contents”
3. click “Load from file”
4. locate and select one of the provided test files in the homework (ex: addand.dat)
5. close the edit contents menu
• Now that you have loaded the RAM with a program, you can fetch instructions into the IR.
• Now that you have an instruction in the IR, you can start executing it. In order to do that you can
turn on the different signal pins on the right in order to control the datapath and move data around
like we did in lecture/lab. Once you think you know how an instruction is executed, you can enter it
into the microcode spreadsheet, the process for which is outlined below.
– Tests inside the tests/ directory have a comment at the end of the .asm file which explains the
system state after the end of the program’s execution. You must ensure that this is the system
state after you have run every instruction sequentially through the simulator.
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– To test whether the program acted correctly, go to the ‘LC-3’ circuit and double-click into the
‘REG FILE’ element that is placed in the datapath. Note: you should not just click into
the ‘REG FILE’ subcircuit, as this will not properly load the state of the specific ‘REG FILE’
element that’s built into the LC-3, just some generic REG FILE.
– Bonus tip: Use Ctrl-R to reset the simulator state and easily clear RAM and registers to 0 in
order to test again.
• If you are familiar with LC-3 assembly (you will learn it over the course of the next two weeks), you
are welcome to write your own test programs to verify your code. Make sure that your programs do
not start at x3000, as in this homework only we will start execution at x0000 for simplicity’s sake.
You can compile LC-3 assembly projects to machine code by following the LC-3 ISA, and then create
your own RAM.dat files. We can’t guarantee that we’ll be able to help with these test cases in office
hours, though.
NOTE: The above section on the manual LC-3 is not needed to get full points on this homework. This is supposed to be used as only a debugging tool to help you understand how to
complete the homework.
5.1.1 Resources
This can all be pretty daunting to read and understand at first. But it’s not the end of the world so do not
panic, carry a towel and make sure to use the resources available to you. Here are some options:
• LC-3 Datapath Diagram and ISA Quick Sheet: Canvas → Files → LC-3 Resources → LC3ReferenceSheet.pdf
• LC-3 Instructions Detail Sheet: LC-3InstructionsDetail.pdf, in this homework.zip
• The Manual LC-3!
• Your friendly TAs (Office Hours, Ed Discussion, etc.)
• Textbook
• Appendix on Datapath Control Signals in this PDF.
6 Setup
The software you will be using for this project and all future circuit based assignments is called CircuitSim
- an interactive circuit simulation package.
In order to use CircuitSim, you must have Docker up and running. If you do not have Docker, follow the
instructions laid out in the installation guide found under Canvas → Files → Docker. Make sure you are
using the updated docker container!! The docker-script should automatically do this when you
run it. Check by ensuring that the version of CircuitSim in the docker container is version
1.8.2
CircuitSim comes pre-installed on the Docker image, and should be accessible via the desktop. Please only use
the CircuitSim through Docker to build your circuits as it is the correct version. CircuitSim downloaded
from elsewhere may not be compatible with our grader. You have been warned.
CircuitSim is a powerful simulation tool designed for educational use. This gives it the advantage of being a
little more forgiving than some of the more commercial simulators. However, it still requires some time and
effort to be able to use the program efficiently.
Please do not move or rename any of the provided circuits/elements. The only things you
need to modify is RAM/ROM contents and using the pins/buttons provided while debugging
using the provided LC3.sim file.
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7 Deliverables
Please submit the follow files:
1. LC3.sim
2. microcode.xlsx
to Gradescope under the assignment “Homework 4”. The Gradescope autograder will check your work
on the microcode file against a working and correct LC3.sim file, not your own submission of
the LC3.sim file.
Note: The autograder may not reflect your final grade on this assignment. We reserve the right to update
the autograder when grading.
8 Demos
This homework will be demoed. The demos will be ten minutes long and will occur IN PERSON.
Stay tuned for details as the due date approaches.
• Sign up for a demo time slot via Canvas before the beginning of the first demo slot. This is the only
way you can ensure you will have a slot.
• If you cannot attend any of the predetermined demo time slots, e-mail the head TA Nicole
(shawn.wahi@gatech.edu) before the week of demos.
• If you know you are going to miss your demo, you may cancel your slot on Canvas with no penalty, as
long as you cancel 24 hours in advance. However, you are not guaranteed another time slot. If you
cancel within 24 hours of your demo, it will be counted as a missed demo.
• Your overall homework score will be ((homework_score * 0.5) + (demo_score * 0.5)), meaning
if you received a 90% on your homework, but a 30% on the demo, you would receive an overall score
of 60%. If you miss your demo you will not receive any of these points, and the maximum
you can receive on the homework is 50%.
• You will be able to make up one of your missed demos at the end of the semester for half credit.
9 Rules and Regulations
9.1 General Rules
1. Although you may ask TAs for clarification, you are ultimately responsible for what you submit. As
such, please start assignments early, and ask for help early. This means that (in the case of demos)
you should come prepared to explain to the TA how any piece of code you submitted works, even if
you copied it from the book or read about it on the internet.
2. If you find any problems with the assignment it would be greatly appreciated if you reported them to
the author (which can be found at the top of the assignment). Announcements will be posted if the
assignment changes.
9.2 Submission Conventions
1. Do not submit links to files. The autograder does not understand it, and we will not manually grade
assignments submitted this way as it is easy to change the files after the submission period ends. You
must submit all files listed in the Deliverables section individually to Gradescope as separate files.
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9.3 Submission Guidelines
1. You are responsible for turning in assignments on time. This includes allowing for unforeseen circumstances. If you have an emergency let us know IN ADVANCE of the due time supplying documentation (i.e. note from the dean, doctor’s note, etc). Extensions will only be granted to those who contact
us in advance of the deadline and no extensions will be made after the due date.
2. You are also responsible for ensuring that what you turned in is what you meant to turn in. After
submitting you should be sure to download your submission into a brand new folder and test if it
works. No excuses if you submit the wrong files, what you turn in is what we grade. In addition, your
assignment must be turned in via Canvas/Gradescope. Under no circumstances whatsoever we will
accept any email submission of an assignment. Note: if you were granted an extension you will still
turn in the assignment over Canvas/Gradescope.

9.5 Is collaboration allowed?
Collaboration is allowed on a high level, meaning that you may discuss design points and concepts relevant
to the homework with your peers, share algorithms and pseudo-code, as well as help each other debug code.
What you shouldn’t be doing, however, is pair programming where you collaborate with each other on a
single instance of the code. Furthermore, sending an electronic copy of your homework to another student
for them to look at and figure out what is wrong with their code is not an acceptable way to help them,
because it is frequently the case that the recipient will simply modify the code and submit it as their own.
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10 Appendix: Datapath Control Signals
The microcontroller of the LC-3 has 52 bits of output signals to control program execution on the datapath.
In this assignment, we will focus on 20 of them. There are four categories of signals we need to worry about:
1. Load Signals Each register has a load signal associated with it. When the load signal of a register is
high (1), the value of the register will update to its input at the uptick of the clock.
• LD.MAR The MAR (Memory Address Register) register holds the address of data to be read
from, or written to, memory. This signal loads the MAR with the value from the bus, which
should be the address of data to be read in a load signal (LD, LDR, LDI), or data to be written to
in a store signal (ST, STR, STI). This address should be come from either the PC (For FETCH)
or from the MARMUX (for all other memory access instructions).
• LD.MDR The MDR (Memory Data Register) holds the data either read from or to be written
to memory. The MDRMUX that selects between the bus (For store instructions - when data from
a register is to be written to memory) and memory out (For load instructions - when data read
from the memory is to be written to a register). When LD.MAR is high the MDR loads whichever
the MDRMUX outputs.
• LD.IR The IR (Instruction Register) holds the currently executing instruction (Contrast this to
the PC, which holds the address of the next instruction to be executed, the IR holds the literal
16-bit assembled instruction which is fetched from memory at the address in the PC). The IR is
only written to during the FETCH stage, so that is the only time LD.IR should be used.
• LD.REG LD.REG is used for writing to the general purpose registers. When LD.REG is high
(1), the DR register will load the value on the bus. In general, this signal should be active in the
last state of any instruction that writes to a destination register.
• LD.CC The CC (Condition Code) register is used for conditional (branching) statements. The
CC itself is a three bit register, with one bit for each of (negative, zero, positive). Branching
instructions (BR) use the value of the CC to determine if a branch should be taken (i.e. BRn
means ’branch if cc == negative’). Because of this, the CC should always reflect the result of the
previous instruction. The ’result’ of an instruction is generally whatever is written to a register
in the last cycle. This means that LD.CC should be closely related to LD.REG as those loads are
done in the same cycle (Because the result is already on the bus to load into the register file, we can
also load it into the CC for free.) Note that not all instructions should set the condition
codes. Generally, things like load instructions (LD, LDR, LDI) and all arithmetic instructions
(ADD, AND, NOT) should set the CC, while things like branching and store instructions don’t
really have a ’result’ so they do not set the CC.
• LD.PC The PC holds the address of the next instruction to be executed. Therefore, the value
in the PC defines the control flow of the program. By default, the PC should be incremented
by 1 during every FETCH stage. Branching and Jumping instructions work by setting the PC
to some other value which causes the execution to jump to another point in the program. This
signal should be high whenever the value of the PC should be changed, namely, in the FETCH
stage and all branching and jumping instructions (There is a PCMUX which chooses the input of
the PC to either increment the PC for fetch, read from the bus, or the ADDR calculation circuit
– ADDR1MUX + ADDR2MUX).
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2. Gate Signals All of the components on the datapath are connected by the bus. The bus is a single
wire which any component can read from, and any component can assert to. However, we already
know what happens when we try to assert two different signals to the same wire (Short circuits, fire,
ensuing chaos and certain doom). Enter the Tri-State Buffer. The tri-state buffer works similarly
to a transistor. It has an input, output, and enable bit, analogous to the source, drain and gate of
the transistor. If the enable bit is high (1), then the output of the tri-state buffer will be whatever
is connected to its input. If the enable bit is low (0), then the output will have no value, so it won’t
ever cause a short circuit. So, we use tri-state buffers to connect each component to the datapath.
That way, as long as only one tri-state buffer is enabled per clock cycle, we can move anything on
the datapath and don’t have to worry about short circuits! However, this also means that we can
only move one thing on the bus at a time. This is very important. It also means it is your
responsibility to make sure that only one tri-state buffer on the bus is ever enabled in a
given clock cycle.
• GatePC This signal asserts the value of the PC to the bus. This should be used any time you
want to load the PC into another register. Namely, this could be the MAR (for fetch), or R7 for
saving the PC as a return address in branching and jumping instructions.
• GateMDR This signal asserts the value of the MDR to the bus. In this case, the MDR should
hold data read from memory, so it is being asserted to the bus to be saved to another register.
Namely, this should be used to load the value of the MDR into the IR for FETCH, into a general
purpose register for load instructions (LD, LDR, LDI), or back into the MAR for indirect memory
access instructions (LDI, STI).
• GateALU This signal asserts the output of the ALU to the bus. Remember, the ALU can output
4 different operations: A + B, A & B, A, PASS A. Clearly, this signal should be active for the
arithmetic instructions that use the first 3 operations (ADD, AND, NOT). The GateALU should
also be active any time the value of a general purpose register should be written somewhere else
(i.e. for storing instructions), which is when the PASS A option would be used (PASS A directly
asserts the value of SR1 onto the bus).
• GateMARMUX This signal asserts the output of the MARMUX onto the bus. Almost always,
the value asserted onto the bus represents an address to be loaded into the MAR for loading and
storing instructions (or directly into a destination register for LEA).
3. MUX Signals These signals have a range of possible values, and this range of values can differ based
on the number of inputs to a given MUX (some have 2 inputs, others have 3 or 4).
• PCMUX The PC has 3 options every time it is updated. During every FETCH, the PC is
incremented by 1, and during branching and jumping instructions, the PC can be loaded either
from the ADDR calculation circuit (ADDR1MUX + ADDR2MUX, for most branching/jumping),
or read from the bus (rarely).
• DRMUX For most instructions, the DR (Destination Register) is explicitly defined in the instruction. Sometimes, however, the DR is implicitly set to R7 (as R7 is always used as the return
address for branching instructions.) The DRMUX can set the DR to either IR[11:9] (the 3 bits
of the instruction register used to encode the DR for most instructions), or hardcoded R7 for the
branching instructions that save a return address (the PC) in R7.
• SR1MUX For most instructions, the first Source Register (SR1) is encoded at IR[8:6] (bits 6,
7, and 8 of the instruction). However, some instructions have their source/base register located
higher in the instruction at IR[11:9] (Namely, storing instructions that need space lower in the
instruction for an immediate offset.)
• ADDR1MUX For memory address calculation (For data or instructions), all addresses take the
form of a base register (which is usually the PC, but sometimes a general purpose register from
the register file) which is added to the sign extension of some number of bits from the IR. The
ADDR1MUX chooses what the base register should be, either the PC (for most instructions), or
a general purpose base register (for LDR, STR, JSRR, and JMP).
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• ADDR2MUX For memory address calculation (For data or instructions), all addresses take the
form of a base register (which is usually the PC, but sometimes a general purpose register from
the register file) which is added to the sign extension of some number of bits from the IR. The
ADDR2MUX chooses what that offset should be. Different instructions can allocate different
numbers of bits for their immediate offset, with some having 6, 9, or 11. Each of these, IR[5:0],
IR[8:0], IR[10:0], as well as a hardcoded 0 option, is sign extended to 16 bits to be added to the
base register. ADDR2MUX chooses which of these is passed through.
• MARMUX Most memory calculations will come through the MARMUX. The MARMUX has
2 inputs, one for the ADDR calculation circuit (ADDR1MUX + ADDR2MUX), and one to zero
extend the lower eight bits of the instruction register (ZEXT(IR[7:0])). The later option is only
used for TRAP instructions, which are outside the scope of this homework, so you only need to
worry about the former.
• ALUK The ALUK selects which operation the ALU should output, from A + B, A & B, A,
PASS A. The first three are used for the arithmetic instruction (ADD, AND, NOT), and the
PASS A operation directly outputs SR1 to the bus. This last option is used whenever the value
of a general purpose register needs to be written somewhere else (Like store instructions.)
4. Memory Signals There are two signals that are used for memory access, MEM.EN and R.W. These
control the behavior of the memory for read and write operations.
• MEM.EN The MEM.EN signal will be high whenever the memory is accessed in any way,
whether it is for reading or writing.
• R.W R.W, or Read.Write is used to distinguish between memory operations that read from the
memory and memory operations that write to the memory. Clearly, operations that are writing
to memory (store instructions) should have R.W set to Write (1), while memory operations that
read data already in memory should have R.W set to Read (0).

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