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 0x41. What is the pattern's value N in decimal?

0x41
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x51. What is the pattern's value N in decimal?

0x51
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −109 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1098 bit
U =
4.Medium
place values in two's complement1−12816413201608140201

The 8-bit pattern 1110 0100 stores a signed integer in two's complement. What is its value N in decimal?

1110 01008 bit
N =
5.Hard
8 bit1 px1280 px720 pxM = ? KiB

An uncompressed image is 1280 × 720 pixels with 8 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1280 × 720 px8 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 0101 XOR 1010 0010. What is the result's value R in decimal?

0111 0101XOR1010 0010
R =

Answer key

  1. 1. N = 65
  2. 2. N = 81
  3. 3. U = 147
  4. 4. N = −28
  5. 5. M = 900 KiB
  6. 6. R = 215

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