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 0x70. What is the pattern's value N in decimal?

0x70
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xE2. What is the pattern's value N in decimal?

0xE2
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −22 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −228 bit
U =
4.Medium
place values in two's complement1−12806403201608140201

The 8-bit pattern 1000 0100 stores a signed integer in two's complement. What is its value N in decimal?

1000 01008 bit
N =
5.Hard
24 bit1 px640 px480 pxM = ? KiB

An uncompressed image is 640 × 480 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

640 × 480 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 1011 0110 >> 1. What is the result's value R in decimal?

1011 0110>> 1
R =

Answer key

  1. 1. N = 112
  2. 2. N = 226
  3. 3. U = 234
  4. 4. N = −124
  5. 5. M = 900 KiB
  6. 6. R = 91

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