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 0x7F. What is the pattern's value N in decimal?

0x7F
N =
2.Easy
place values012816403201618041211

Convert the binary number 0100 1011₂ to decimal. Find N.

0100 1011₂
N =
3.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 =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −18 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −188 bit
U =
5.Hard
16 bit1 px1280 px720 pxM = ? KiB

An uncompressed image is 1280 × 720 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1280 × 720 px16 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1011 0100 OR 0100 0000. What is the result's value R in decimal?

1011 0100OR0100 0000
R =

Answer key

  1. 1. N = 127
  2. 2. N = 75
  3. 3. U = 194
  4. 4. U = 238
  5. 5. M = 1800 KiB
  6. 6. R = 244

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