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 0xD6. What is the pattern's value N in decimal?

0xD6
N =
2.Easy
place values112816403211608140211

Convert the binary number 1101 0101₂ to decimal. Find N.

1101 0101₂
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −15 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −158 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −43 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −438 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0001 0101 OR 1010 0011. What is the result's value R in decimal?

0001 0101OR1010 0011
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0001 1010 XOR 1010 0110. What is the result's value R in decimal?

0001 1010XOR1010 0110
R =

Answer key

  1. 1. N = 214
  2. 2. N = 213
  3. 3. U = 241
  4. 4. U = 213
  5. 5. R = 183
  6. 6. R = 188

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