CPSC 2105 Introduction to Computer Organization
Homework Set 1 Due Tuesday, June 21, 2005
NOTE: SHOW ALL OF YOUR WORK. YOU MUST DEMONSTRATE THAT YOU
UNDERSTAND THE PROCESS OF OBTAINING AN ANSWER. WHILE THESE CAN
BE DONE ON MANY CALCULATORS, YOU MUST DO THESE BY HAND.
1. Convert the following decimal numbers to binary numbers.
The numbers are unsigned. Use as many bits as necessary.
a) 31 b) 75 c) 458
2. Convert the following hexadecimal number to decimal numbers.
The numbers are unsigned. Use as many digits as necessary
a) 0x022 b) 0x0BAD c) 0x0EF
3. What is the range of decimal numbers that can be represented in:
a) 8–bit two’s–complement form?
b) 16–bit two’s–complement form?
4. Show the 8-bit two’s-complement representation of the following integers.
Show all eight bits.
a) 90 b) – 3 c) –42 d) 45 e) – 107
5. Show the IEEE–754 single precision representation of the following real numbers.
Show all eight hexadecimal digits associated with each representation.
a) 0.0 b) – 1.0 c) 7.625 d) – 8.75