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 0x37. What is the pattern's value N in decimal?

0x37
N =
2.Easy
place values012816413201608040211

Convert the binary number 0110 0001₂ to decimal. Find N.

0110 0001₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −97 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −978 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −62 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −628 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 0011 OR 0011 0001. What is the result's value R in decimal?

1000 0011OR0011 0001
R =
6.Hard
4750 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 4750 items its own binary code of the same length. What is the smallest number of bits b needed?

4750
b = bit

Answer key

  1. 1. N = 55
  2. 2. N = 97
  3. 3. U = 159
  4. 4. U = 194
  5. 5. R = 179
  6. 6. b = 13 bit

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