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 values112816413211608140201

Convert the binary number 1111 0100₂ to decimal. Find N.

1111 0100₂
N =
2.Easy
place values012816413201608140211

Convert the binary number 0110 0101₂ to decimal. Find N.

0110 0101₂
N =
3.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 =
4.Medium
place values in two's complement1−12816413211618040201

The 8-bit pattern 1111 1000 stores a signed integer in two's complement. What is its value N in decimal?

1111 10008 bit
N =
5.Hard
3854 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 3854 items its own binary code of the same length. What is the smallest number of bits b needed?

3854
b = bit
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 1111 AND 1100 0101. What is the result's value R in decimal?

0111 1111AND1100 0101
R =

Answer key

  1. 1. N = 244
  2. 2. N = 101
  3. 3. U = 196
  4. 4. N = −8
  5. 5. b = 12 bit
  6. 6. R = 69

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