Description
The goal of this assignment is to get you familiar with data representation and simple logic
operations. To get full credit, please show your work ( where needed ) for each problem.
Submit a word doc or pdf, computer typed only; I will not accept any handwritten or scanned
homework. No homework will be accepted after the due date, so make sure to start early.
1. Convert the following unsigned base2 numbers ( binary) to base 16 numbers (hexadecimal):
A. 0110 0001 1111
B. 1000 1111 1100
C. 0001 0110 0100 0101
2. Convert the following signed base 2 numbers (binary) to base 10 numbers (decimal):
A. 1100 1010
B. 1111 0010
C. 1000 0111
Each using :
a) Signed_magnitude representation.
b) One’s complement representation.
c) Two’s complement representation.
3. Convert the following base 10 (decimal) values to two’s complement (8-bits) :
A. -100d
B. -16d
C. -21d
D. -0d
Each using :
a) Signed_magnitude representation.
b) One’s complement representation.
c) Two’s complement representation.
4. What is the range of:
A. An unsigned 7-bit number ?
B. A signed 7-bit number ?
5. Provide the answer to the following problems ( ∧ = AND, ∨ = OR )
A. 1000 ∧ 1110
B. 1000 ∨ 1110
C. (1000 ∧ 1110) ∨ (1001 ∧ 1110)
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6. Find the hexadecimal ASCII values for the following characters:
A. g
B. ^
C. $
7. Please demonstrate each step in the calculation of the arithmetic operation 25 – 65. (
both 25 and 65 are signed decimal numbers )
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