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 values725681631

Convert the hexadecimal number 0x783 to decimal. Find N.

0x783A = 10 … F = 15
N =
2.Easy
place values725611671

Convert the hexadecimal number 0x717 to decimal. Find N.

0x717A = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −79 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −798 bit
U =
4.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 =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1011 0001 XOR 1111 1010. What is the result's value R in decimal?

1011 0001XOR1111 1010
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 1000 OR 0110 1111. What is the result's value R in decimal?

0111 1000OR0110 1111
R =

Answer key

  1. 1. N = 1923
  2. 2. N = 1815
  3. 3. U = 177
  4. 4. U = 182
  5. 5. R = 75
  6. 6. R = 127

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