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 0x8A. What is the pattern's value N in decimal?

0x8A
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x7D. What is the pattern's value N in decimal?

0x7D
N =
3.Medium
place values in two's complement1−12806403211618041211

The 8-bit pattern 1001 1011 stores a signed integer in two's complement. What is its value N in decimal?

1001 10118 bit
N =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −89 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −898 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0010 1100 AND 0111 0111. What is the result's value R in decimal?

0010 1100AND0111 0111
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1010 0110 XOR 1000 1110. What is the result's value R in decimal?

1010 0110XOR1000 1110
R =

Answer key

  1. 1. N = 138
  2. 2. N = 125
  3. 3. N = −101
  4. 4. U = 167
  5. 5. R = 36
  6. 6. R = 40

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