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 values112806403211608041211

Convert the binary number 1001 0011₂ to decimal. Find N.

1001 0011₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x79. What is the pattern's value N in decimal?

0x79
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −116 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1168 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −83 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −838 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 0100 >> 3. What is the result's value R in decimal?

1000 0100>> 3
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0100 1010 << 3. What is the result's value R in decimal?

0100 1010<< 3
R =

Answer key

  1. 1. N = 147
  2. 2. N = 121
  3. 3. U = 140
  4. 4. U = 173
  5. 5. R = 16
  6. 6. R = 80

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