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 0xC6. What is the pattern's value N in decimal?

0xC6
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x77. What is the pattern's value N in decimal?

0x77
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −53 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −538 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −107 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −1078 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 1111 AND 0110 0110. What is the result's value R in decimal?

1001 1111AND0110 0110
R =
6.Hard
click the bits to set them012806403201608040201

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

1100 0111OR1100 1100
R =

Answer key

  1. 1. N = 198
  2. 2. N = 119
  3. 3. U = 203
  4. 4. U = 149
  5. 5. R = 6
  6. 6. R = 207

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