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 0xA7. What is the pattern's value N in decimal?

0xA7
N =
2.Easy
place values112816413211618141201

Convert the binary number 1111 1110₂ to decimal. Find N.

1111 1110₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −30 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −308 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −23 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −238 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1011 1110 AND 0001 0101. What is the result's value R in decimal?

1011 1110AND0001 0101
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0101 1101 >> 2. What is the result's value R in decimal?

0101 1101>> 2
R =

Answer key

  1. 1. N = 167
  2. 2. N = 254
  3. 3. U = 226
  4. 4. U = 233
  5. 5. R = 20
  6. 6. R = 23

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