CPSC 2105 Introduction to Computer Organization
Homework Set 1 Due Wednesday, January 17, 2007
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.
Each of these questions counts 20 points.
1. Convert the following decimal numbers to binary numbers.
The numbers are unsigned. Use as many bits as necessary.
a) 63 b) 102 c) 240
2. Convert the following unsigned binary numbers to decimal numbers.
Use as many decimal digits as necessary.
a) 10111000 b) 111101 c) 1010101
3. Convert the following hexadecimal numbers to decimal numbers.
Use as many decimal digits as necessary.
a) 0x0AA b) 0xBAD c) 0x97
4. What is the range of decimal numbers that can be represented in:
a) 12–bit two’s–complement form? Express this range in decimal.
b) 16–bit two’s–complement form? This range can be expressed in any valid manner.
For example, the range for 32–bit two’s complement arithmetic can be represented as
either (– 231) to (231 – 1) or – 2, 147, 483, 648 to 2, 147, 483, 647.
5. Convert the following decimal numbers to binary representation. This involves separate
conversion of the whole number part and fractional part; thus 6.25 would be 110.01.
This is not a problem in conversion to IEEE–754 floating point standard.
a) 25.375
b) 127.5
c) 31.53125 (Note 17 / 32 = 0.53125 )
d) 63.00