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 values112816413211608040211

Convert the binary number 1111 0001₂ to decimal. Find N.

1111 0001₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x5C. What is the pattern's value N in decimal?

0x5C
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −104 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −1048 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −113 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −1138 bit
U =
5.Hard
16 bit1 px1920 px1080 pxM = ? KiB

An uncompressed image is 1920 × 1080 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1920 × 1080 px16 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1010 1011 OR 1101 0111. What is the result's value R in decimal?

1010 1011OR1101 0111
R =

Answer key

  1. 1. N = 241
  2. 2. N = 92
  3. 3. U = 152
  4. 4. U = 143
  5. 5. M = 4050 KiB
  6. 6. R = 255

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