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 values112806403201608041201

Convert the binary number 1000 0010₂ to decimal. Find N.

1000 0010₂
N =
2.Easy
click the bits to set them012806403201608040201

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

0xCA
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −52 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −528 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −45 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −458 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 0010 >> 2. What is the result's value R in decimal?

1000 0010>> 2
R =
6.Hard
10 bits, unsigned, N = ???????????

What is the largest unsigned integer N that fits in 10 bits?

10 bit
N =

Answer key

  1. 1. N = 130
  2. 2. N = 202
  3. 3. U = 204
  4. 4. U = 211
  5. 5. R = 32
  6. 6. N = 1023

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