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 0x7D. What is the pattern's value N in decimal?

0x7D
N =
2.Easy
click the bits to set them012806403201608040201

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

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

Set the bits so they store −85 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −858 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −90 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −908 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 1001 OR 0110 1111. What is the result's value R in decimal?

1001 1001OR0110 1111
R =
6.Hard
8 bit1 px256 px256 pxM = ? KiB

An uncompressed image is 256 × 256 pixels with 8 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

256 × 256 px8 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 125
  2. 2. N = 252
  3. 3. U = 171
  4. 4. U = 166
  5. 5. R = 255
  6. 6. M = 64 KiB

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