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 0xD6. What is the pattern's value N in decimal?

0xD6
N =
2.Easy
place values012816413201618141201

Convert the binary number 0110 1110₂ to decimal. Find N.

0110 1110₂
N =
3.Medium
place values in two's complement1−12806403211608141201

The 8-bit pattern 1001 0110 stores a signed integer in two's complement. What is its value N in decimal?

1001 01108 bit
N =
4.Medium
place values in two's complement0−12806413201618041211

The 8-bit pattern 0010 1011 stores a signed integer in two's complement. What is its value N in decimal?

0010 10118 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0010 1010 << 1. What is the result's value R in decimal?

0010 1010<< 1
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 1110 XOR 1101 1110. What is the result's value R in decimal?

1001 1110XOR1101 1110
R =

Answer key

  1. 1. N = 214
  2. 2. N = 110
  3. 3. N = −106
  4. 4. N = 43
  5. 5. R = 84
  6. 6. R = 64

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