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
place values112806413211618140211

Convert the binary number 1011 1101₂ to decimal. Find N.

1011 1101₂
N =
2.Easy
place values112816413201618040211

Convert the binary number 1110 1001₂ to decimal. Find N.

1110 1001₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −2 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −28 bit
U =
4.Medium
place values in two's complement1−12816403211608040201

The 8-bit pattern 1101 0000 stores a signed integer in two's complement. What is its value N in decimal?

1101 00008 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0100 1101 XOR 1000 0111. What is the result's value R in decimal?

0100 1101XOR1000 0111
R =
6.Hard
32 bit1 px1920 px1080 pxM = ? KiB

An uncompressed image is 1920 × 1080 pixels with 32 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1920 × 1080 px32 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 189
  2. 2. N = 233
  3. 3. U = 254
  4. 4. N = −48
  5. 5. R = 202
  6. 6. M = 8100 KiB

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