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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1.Easy
click the bits to set them012806403201608040201

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

0xCE
N =
2.Easy
place values6256516D1

Convert the hexadecimal number 0x65D to decimal. Find N.

0x65DA = 10 … F = 15
N =
3.Medium
place values in two's complement1−12806413211618041201

The 8-bit pattern 1011 1010 stores a signed integer in two's complement. What is its value N in decimal?

1011 10108 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −60 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −608 bit
U =
5.Hard
16 bit1 px512 px512 pxM = ? KiB

An uncompressed image is 512 × 512 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

512 × 512 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 1110 1100 << 1. What is the result's value R in decimal?

1110 1100<< 1
R =

Answer key

  1. 1. N = 206
  2. 2. N = 1629
  3. 3. N = −70
  4. 4. U = 196
  5. 5. M = 512 KiB
  6. 6. R = 216

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