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 0xD3. What is the pattern's value N in decimal?

0xD3
N =
2.Easy
place values6256B1611

Convert the hexadecimal number 0x6B1 to decimal. Find N.

0x6B1A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −68 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −688 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −109 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1098 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 0011 << 3. What is the result's value R in decimal?

1001 0011<< 3
R =
6.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

Answer key

  1. 1. N = 211
  2. 2. N = 1713
  3. 3. U = 188
  4. 4. U = 147
  5. 5. R = 152
  6. 6. M = 900 KiB

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