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 0x3E. What is the pattern's value N in decimal?

0x3E
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x1B. What is the pattern's value N in decimal?

0x1B
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −73 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −738 bit
U =
4.Medium
place values in two's complement1−12806413201618140211

The 8-bit pattern 1010 1101 stores a signed integer in two's complement. What is its value N in decimal?

1010 11018 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 1100 << 2. What is the result's value R in decimal?

1001 1100<< 2
R =
6.Hard
12-bit two's complement, N = ??sign???????????

What is the most negative integer N that can be stored in 12-bit two's complement?

12 bit
N =

Answer key

  1. 1. N = 62
  2. 2. N = 27
  3. 3. U = 183
  4. 4. N = −83
  5. 5. R = 112
  6. 6. N = −2048

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