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 0x2C. What is the pattern's value N in decimal?

0x2C
N =
2.Easy
place values112816413201608040201

Convert the binary number 1110 0000₂ to decimal. Find N.

1110 0000₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −45 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −458 bit
U =
4.Medium
place values in two's complement1−12816413211608140201

The 8-bit pattern 1111 0100 stores a signed integer in two's complement. What is its value N in decimal?

1111 01008 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1110 0001 OR 1000 0001. What is the result's value R in decimal?

1110 0001OR1000 0001
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0110 1001 >> 3. What is the result's value R in decimal?

0110 1001>> 3
R =

Answer key

  1. 1. N = 44
  2. 2. N = 224
  3. 3. U = 211
  4. 4. N = −12
  5. 5. R = 225
  6. 6. R = 13

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