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 0xD7. What is the pattern's value N in decimal?

0xD7
N =
2.Easy
place values112806403211618041201

Convert the binary number 1001 1010₂ to decimal. Find N.

1001 1010₂
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −69 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −698 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −66 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −668 bit
U =
5.Hard
24 bit1 px1280 px720 pxM = ? KiB

An uncompressed image is 1280 × 720 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1280 × 720 px24 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1111 0100 XOR 0010 0111. What is the result's value R in decimal?

1111 0100XOR0010 0111
R =

Answer key

  1. 1. N = 215
  2. 2. N = 154
  3. 3. U = 187
  4. 4. U = 190
  5. 5. M = 2700 KiB
  6. 6. R = 211

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