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 0x3A. What is the pattern's value N in decimal?

0x3A
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x7B. What is the pattern's value N in decimal?

0x7B
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −52 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −528 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −49 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −498 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 0000 XOR 1111 1010. What is the result's value R in decimal?

1001 0000XOR1111 1010
R =
6.Hard
2200 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 2200 items its own binary code of the same length. What is the smallest number of bits b needed?

2200
b = bit

Answer key

  1. 1. N = 58
  2. 2. N = 123
  3. 3. U = 204
  4. 4. U = 207
  5. 5. R = 106
  6. 6. b = 12 bit

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