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
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xC7. What is the pattern's value N in decimal?

0xC7
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x8A. What is the pattern's value N in decimal?

0x8A
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −55 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −558 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
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0010 0100 OR 0010 0000. What is the result's value R in decimal?

0010 0100OR0010 0000
R =
6.Hard
3870 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 3870 items its own binary code of the same length. What is the smallest number of bits b needed?

3870
b = bit

Answer key

  1. 1. N = 199
  2. 2. N = 138
  3. 3. U = 201
  4. 4. U = 184
  5. 5. R = 36
  6. 6. b = 12 bit

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