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 values112816413201608040211

Convert the binary number 1110 0001₂ to decimal. Find N.

1110 0001₂
N =
2.Easy
place valuesA25681661

Convert the hexadecimal number 0xA86 to decimal. Find N.

0xA86A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −25 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −258 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −78 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −788 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0001 1101 XOR 1011 0000. What is the result's value R in decimal?

0001 1101XOR1011 0000
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1011 0111 >> 3. What is the result's value R in decimal?

1011 0111>> 3
R =

Answer key

  1. 1. N = 225
  2. 2. N = 2694
  3. 3. U = 231
  4. 4. U = 178
  5. 5. R = 173
  6. 6. R = 22

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