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 0x51. What is the pattern's value N in decimal?

0x51
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xA0. What is the pattern's value N in decimal?

0xA0
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −117 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1178 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −76 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −768 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0011 0111 >> 1. What is the result's value R in decimal?

0011 0111>> 1
R =
6.Hard
8 bit1 px800 px600 pxM = ? KiB

An uncompressed image is 800 × 600 pixels with 8 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

800 × 600 px8 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 81
  2. 2. N = 160
  3. 3. U = 139
  4. 4. U = 180
  5. 5. R = 27
  6. 6. M = 468.8 KiB

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