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 0x53. What is the pattern's value N in decimal?

0x53
N =
2.Easy
place values012816413201608040211

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

0110 0001₂
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −96 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −968 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −90 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −908 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0100 0000 XOR 0100 1101. What is the result's value R in decimal?

0100 0000XOR0100 1101
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 0011 OR 0011 1110. What is the result's value R in decimal?

0111 0011OR0011 1110
R =

Answer key

  1. 1. N = 83
  2. 2. N = 97
  3. 3. U = 160
  4. 4. U = 166
  5. 5. R = 13
  6. 6. R = 127

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