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
place values112806403211608041211

Convert the binary number 1001 0011₂ to decimal. Find N.

1001 0011₂
N =
2.Easy
click the bits to set them012806403201608040201

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

0xBE
N =
3.Medium
place values in two's complement1−12806413201608041201

The 8-bit pattern 1010 0010 stores a signed integer in two's complement. What is its value N in decimal?

1010 00108 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −9 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −98 bit
U =
5.Hard
24 bit1 px800 px600 pxM = ? KiB

An uncompressed image is 800 × 600 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

800 × 600 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 1000 1001 OR 0101 1001. What is the result's value R in decimal?

1000 1001OR0101 1001
R =

Answer key

  1. 1. N = 147
  2. 2. N = 190
  3. 3. N = −94
  4. 4. U = 247
  5. 5. M = 1406 KiB
  6. 6. R = 217

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