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

0xFB
N =
2.Easy
place values012806413201618041211

Convert the binary number 0010 1011₂ to decimal. Find N.

0010 1011₂
N =
3.Medium
place values in two's complement0−12816413211608141211

The 8-bit pattern 0111 0111 stores a signed integer in two's complement. What is its value N in decimal?

0111 01118 bit
N =
4.Medium
place values in two's complement0−12816413211618141211

The 8-bit pattern 0111 1111 stores a signed integer in two's complement. What is its value N in decimal?

0111 11118 bit
N =
5.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
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 0101 << 1. What is the result's value R in decimal?

0111 0101<< 1
R =

Answer key

  1. 1. N = 251
  2. 2. N = 43
  3. 3. N = 119
  4. 4. N = 127
  5. 5. M = 1024 KiB
  6. 6. R = 234

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