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 values112806403201618141211

Convert the binary number 1000 1111₂ to decimal. Find N.

1000 1111₂
N =
2.Easy
place values5256016E1

Convert the hexadecimal number 0x50E to decimal. Find N.

0x50EA = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

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

N = −88 bit
U =
4.Medium
place values in two's complement0−12816403211618040201

The 8-bit pattern 0101 1000 stores a signed integer in two's complement. What is its value N in decimal?

0101 10008 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
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 = 143
  2. 2. N = 1294
  3. 3. U = 248
  4. 4. N = 88
  5. 5. R = 39
  6. 6. N = −32768

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