HW # 1: Theme: Binary Number Representations Solution

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1. What is the decimal representation of each of the unsigned binary integers?

  1. 1101 0111

  2. 1000 1101

  3. 0101 1001

2. What is the minimum number of binary bits needed to represent each of the following unsigned decimal numbers?

  1. 93546

  2. 268

  3. 6297

3. What is the hexadecimal representation of each of the following binary numbers?

  1. 1010 0101 0100 0011

  2. 1001 1011 0010 0100

  3. 0111 0110 1101 1001

  1. What is the unsigned decimal representation of each hex integer below?

a. 237

b. A91

c. 387D

5. What is the 16-bit hexadecimal representation of each signed decimal integer?

  1. –56

  2. –108

  3. +7296

6. What is the 8-bit binary (2’s complement) representation of each of the signed decimal integers?

  1. –23

  2. +116

  3. –9

7. Write the ASCII code for the string “War Eagle”. The answer would provide ASCII (in hexadecimal) corresponding to each letter in the string. The ASCII values can be found on the inner cover of the book.

8. What is the range of decimal values that can be represented by:

a) 9-bit unsigned integer?

b) 9-bit signed integer?