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
place values2256D1601

Convert the hexadecimal number 0x2D0 to decimal. Find N.

0x2D0A = 10 … F = 15
N =
2.Easy
place valuesA25631671

Convert the hexadecimal number 0xA37 to decimal. Find N.

0xA37A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −74 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −748 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −65 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −658 bit
U =
5.Hard
3919 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 3919 items its own binary code of the same length. What is the smallest number of bits b needed?

3919
b = bit
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0110 0111 AND 1110 1011. What is the result's value R in decimal?

0110 0111AND1110 1011
R =

Answer key

  1. 1. N = 720
  2. 2. N = 2615
  3. 3. U = 182
  4. 4. U = 191
  5. 5. b = 12 bit
  6. 6. R = 99

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