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 valuesB256016F1

Convert the hexadecimal number 0xB0F to decimal. Find N.

0xB0FA = 10 … F = 15
N =
2.Easy
place values5256E1631

Convert the hexadecimal number 0x5E3 to decimal. Find N.

0x5E3A = 10 … F = 15
N =
3.Medium
place values in two's complement0−12816403211618141211

The 8-bit pattern 0101 1111 stores a signed integer in two's complement. What is its value N in decimal?

0101 11118 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −56 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −568 bit
U =
5.Hard
1145 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 1145 items its own binary code of the same length. What is the smallest number of bits b needed?

1145
b = bit
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 0100 OR 1001 1110. What is the result's value R in decimal?

1001 0100OR1001 1110
R =

Answer key

  1. 1. N = 2831
  2. 2. N = 1507
  3. 3. N = 95
  4. 4. U = 200
  5. 5. b = 11 bit
  6. 6. R = 158

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