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 values112806403201618041201

Convert the binary number 1000 1010₂ to decimal. Find N.

1000 1010₂
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xE0. What is the pattern's value N in decimal?

0xE0
N =
3.Medium
place values in two's complement1−12806413211618140201

The 8-bit pattern 1011 1100 stores a signed integer in two's complement. What is its value N in decimal?

1011 11008 bit
N =
4.Medium
place values in two's complement1−12816413211608041201

The 8-bit pattern 1111 0010 stores a signed integer in two's complement. What is its value N in decimal?

1111 00108 bit
N =
5.Hard
16 bit1 px512 px512 pxM = ? KiB

An uncompressed image is 512 × 512 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

512 × 512 px16 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1011 1001 OR 1110 1010. What is the result's value R in decimal?

1011 1001OR1110 1010
R =

Answer key

  1. 1. N = 138
  2. 2. N = 224
  3. 3. N = −68
  4. 4. N = −14
  5. 5. M = 512 KiB
  6. 6. R = 251

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