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 values012806413211618041201

Convert the binary number 0011 1010₂ to decimal. Find N.

0011 1010₂
N =
2.Easy
place values012806413201618140211

Convert the binary number 0010 1101₂ to decimal. Find N.

0010 1101₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −78 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −788 bit
U =
4.Medium
place values in two's complement1−12816413211618040201

The 8-bit pattern 1111 1000 stores a signed integer in two's complement. What is its value N in decimal?

1111 10008 bit
N =
5.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
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0001 1010 >> 3. What is the result's value R in decimal?

0001 1010>> 3
R =

Answer key

  1. 1. N = 58
  2. 2. N = 45
  3. 3. U = 178
  4. 4. N = −8
  5. 5. M = 64 KiB
  6. 6. R = 3

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