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
place values7256D1601

Convert the hexadecimal number 0x7D0 to decimal. Find N.

0x7D0A = 10 … F = 15
N =
2.Easy
place valuesC256016F1

Convert the hexadecimal number 0xC0F to decimal. Find N.

0xC0FA = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −99 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −998 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −55 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −558 bit
U =
5.Hard
24 bit1 px1280 px720 pxM = ? KiB

An uncompressed image is 1280 × 720 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1280 × 720 px24 bit/px1 KiB = 1024 B
M = KiB
6.Hard
20-bit two's complement, N = ??sign???????????????????

What is the most negative integer N that can be stored in 20-bit two's complement?

20 bit
N =

Answer key

  1. 1. N = 2000
  2. 2. N = 3087
  3. 3. U = 157
  4. 4. U = 201
  5. 5. M = 2700 KiB
  6. 6. N = −524288

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