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 values7256F1601

Convert the hexadecimal number 0x7F0 to decimal. Find N.

0x7F0A = 10 … F = 15
N =
2.Easy
place values112816403211608140211

Convert the binary number 1101 0101₂ to decimal. Find N.

1101 0101₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −58 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −588 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −79 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −798 bit
U =
5.Hard
3889 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 3889 items its own binary code of the same length. What is the smallest number of bits b needed?

3889
b = bit
6.Hard
8 bit1 px1280 px720 pxM = ? KiB

An uncompressed image is 1280 × 720 pixels with 8 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1280 × 720 px8 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 2032
  2. 2. N = 213
  3. 3. U = 198
  4. 4. U = 177
  5. 5. b = 12 bit
  6. 6. M = 900 KiB

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