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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
place values012806413211618041201

Convert the binary number 0011 1010₂ to decimal. Find N.

0011 1010₂
N =
2.Easy
place values4256C16B1

Convert the hexadecimal number 0x4CB to decimal. Find N.

0x4CBA = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −120 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1208 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −72 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −728 bit
U =
5.Hard
1050 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 1050 items its own binary code of the same length. What is the smallest number of bits b needed?

1050
b = bit
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1101 0111 << 3. What is the result's value R in decimal?

1101 0111<< 3
R =

Answer key

  1. 1. N = 58
  2. 2. N = 1227
  3. 3. U = 136
  4. 4. U = 184
  5. 5. b = 11 bit
  6. 6. R = 184

Full step-by-step solutions: practise this topic on examproblems.com.