CMPSCI 145

Homework 2 Form
(Integers)

CMPSCI 145 Students, Current Semester, Only!

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Smith, Fred Q.


HOMEWORK #2

Answer the following questions. For all questions involving signed binary integers, assume that the representation uses a two's complement interpretation, with the left-most bit the sign bit (and not sign and magnitude or one's complement).



1. What is the value of decimal number 0 in 8-bit unsigned binary?
2. What is the value of decimal number 63 in 8-bit unsigned binary?
3. What is the value of decimal number 64 in 8-bit unsigned binary?
4. What is the value of decimal number 255 in 8-bit unsigned binary?
5. Yes or No: can the decimal number 256 be represented in 8 bits?
6. What is the value of decimal number 255 in hexadecimal?
7. What is the decimal value of binary number 01111111 interpreted as an unsigned 8-bit integer?
8. What is the decimal value of binary number 10000001 interpreted as an unsigned 8-bit integer?
9. What is the decimal value of binary number 10000001 interpreted as an signed 8-bit integer?
10.Yes or No: Does 01111111+10000001 generate an unsigned overflow?
11.Yes or No: Does 01111111+10000001 generate a signed overflow?
12.What is the decimal value of the 8-bit signed binary sum 01111111+10000001?
13.Using 8-bit signed binary, what is the result of negating 00000000?
14.Using 8-bit signed binary, what is the result of negating 00000001?
15.Using 8-bit signed binary, what is the result of negating 10000000?