Number systems worksheet with answers

Free printable Number systems worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x96. What is the pattern's value N in decimal?

0x96
N =
2.Easy
place valuesE25651601

Convert the hexadecimal number 0xE50 to decimal. Find N.

0xE50A = 10 … F = 15
N =
3.Medium
place values in two's complement1−12806403211608140201

The 8-bit pattern 1001 0100 stores a signed integer in two's complement. What is its value N in decimal?

1001 01008 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −112 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1128 bit
U =
5.Hard
2113 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 2113 items its own binary code of the same length. What is the smallest number of bits b needed?

2113
b = bit
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0110 1000 XOR 0111 0100. What is the result's value R in decimal?

0110 1000XOR0111 0100
R =

Answer key

  1. 1. N = 150
  2. 2. N = 3664
  3. 3. N = −108
  4. 4. U = 144
  5. 5. b = 12 bit
  6. 6. R = 28

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