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 0x42. What is the pattern's value N in decimal?

0x42
N =
2.Easy
place values112806403201608041201

Convert the binary number 1000 0010₂ to decimal. Find N.

1000 0010₂
N =
3.Medium
place values in two's complement1−12806413201608141201

The 8-bit pattern 1010 0110 stores a signed integer in two's complement. What is its value N in decimal?

1010 01108 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −62 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −628 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 0010 XOR 0110 1100. What is the result's value R in decimal?

1001 0010XOR0110 1100
R =
6.Hard
32 bit1 px512 px512 pxM = ? KiB

An uncompressed image is 512 × 512 pixels with 32 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

512 × 512 px32 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 66
  2. 2. N = 130
  3. 3. N = −90
  4. 4. U = 194
  5. 5. R = 254
  6. 6. M = 1024 KiB

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