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 values012806413211608040211

Convert the binary number 0011 0001₂ to decimal. Find N.

0011 0001₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x32. What is the pattern's value N in decimal?

0x32
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −67 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −678 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −65 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −658 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0010 1101 >> 1. What is the result's value R in decimal?

0010 1101>> 1
R =
6.Hard
32 bit1 px512 px512 pxM = ? KiB

An uncompressed image is 512 × 512 pixels with 32 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

512 × 512 px32 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 49
  2. 2. N = 50
  3. 3. U = 189
  4. 4. U = 191
  5. 5. R = 22
  6. 6. M = 1024 KiB

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