CSE260
Assignment 01
This assignment must be hand-written. Show ALL steps in ALL questions.
1. Convert the following binary numbers to equivalent decimal
numbers.
(a) (101110010001)2
(b) (11011.101)2
2. Convert the following decimal number to equivalent binary numbers.
(4195)10
3. Convert the following octal numbers to equivalent decimal numbers.
a) (45)8
b) (2173)8
4. Convert the following decimal number to equivalent hexadecimal
numbers. (513)10
5. Convert the following binary number to equivalent hexadecimal
numbers. (101101110)2
6. Perform the following base conversions
a) (29)12 = (?)7
b) (10110111)5 = (?)4
7. Perform addition, subtraction and multiplication for the pair of following
base-9 numbers. Verify your results by converting the problem into decimal.
412
134
8. Convert the following eight-bit one's complement number to decimal: 010000101’s
9. Convert the following eight-bit two's complement number to decimal: 101111002’s
10. Perform the following arithmetic operations using 10-bit two’s complement
and one’s complement systems . State if there is an overflow in each case.
a) 91 - 499
b) 379 + 98
11. You are a computer engineer and you want to buy two 8 GB DDR4 RAMs. Each
RAM costs (1C2)16 dollars. You also want to buy a graphics card RTX which cost
(10010110000)2
dollars. However, you don’t have that much money with you and
you are afraid to ask about it to your parents. Suddenly, one of your generous friends
agreed to give you the money you need. He decided to give you (4064)8
dollars.
How much dollars will you have left after buying those components? (Show the
answer in decimal)
