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 values112816403201618141201

Convert the binary number 1100 1110₂ to decimal. Find N.

1100 1110₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xC0. What is the pattern's value N in decimal?

0xC0
N =
3.Medium
place values in two's complement1−12806403211608141201

The 8-bit pattern 1001 0110 stores a signed integer in two's complement. What is its value N in decimal?

1001 01108 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −80 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −808 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 0000 >> 1. What is the result's value R in decimal?

1001 0000>> 1
R =
6.Hard
2669 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 2669 items its own binary code of the same length. What is the smallest number of bits b needed?

2669
b = bit

Answer key

  1. 1. N = 206
  2. 2. N = 192
  3. 3. N = −106
  4. 4. U = 176
  5. 5. R = 72
  6. 6. b = 12 bit

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