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 0xE1. What is the pattern's value N in decimal?

0xE1
N =
2.Easy
place values112806413211618041201

Convert the binary number 1011 1010₂ to decimal. Find N.

1011 1010₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −19 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −198 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −16 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −168 bit
U =
5.Hard
16 bit1 px800 px600 pxM = ? KiB

An uncompressed image is 800 × 600 pixels with 16 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

800 × 600 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 1001 0000 >> 1. What is the result's value R in decimal?

1001 0000>> 1
R =

Answer key

  1. 1. N = 225
  2. 2. N = 186
  3. 3. U = 237
  4. 4. U = 240
  5. 5. M = 937.5 KiB
  6. 6. R = 72

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