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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1.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xD9. What is the pattern's value N in decimal?

0xD9
N =
2.Easy
place values012816413211608041211

Convert the binary number 0111 0011₂ to decimal. Find N.

0111 0011₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −5 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −58 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −10 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −108 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1110 0011 >> 1. What is the result's value R in decimal?

1110 0011>> 1
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 = 217
  2. 2. N = 115
  3. 3. U = 251
  4. 4. U = 246
  5. 5. R = 113
  6. 6. M = 64 KiB

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