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 values112816403201608141211

Convert the binary number 1100 0111₂ to decimal. Find N.

1100 0111₂
N =
2.Easy
place values7256D1661

Convert the hexadecimal number 0x7D6 to decimal. Find N.

0x7D6A = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −77 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −778 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −120 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −1208 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1010 0011 << 1. What is the result's value R in decimal?

1010 0011<< 1
R =
6.Hard
16-bit two's complement, N = ??sign???????????????

What is the most negative integer N that can be stored in 16-bit two's complement?

16 bit
N =

Answer key

  1. 1. N = 199
  2. 2. N = 2006
  3. 3. U = 179
  4. 4. U = 136
  5. 5. R = 70
  6. 6. N = −32768

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