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 values012816413211618141201

Convert the binary number 0111 1110₂ to decimal. Find N.

0111 1110₂
N =
2.Easy
place values012816413201618141201

Convert the binary number 0110 1110₂ to decimal. Find N.

0110 1110₂
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −17 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −178 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −46 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −468 bit
U =
5.Hard
24 bit1 px1920 px1080 pxM = ? KiB

An uncompressed image is 1920 × 1080 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1920 × 1080 px24 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1000 0100 XOR 1111 0110. What is the result's value R in decimal?

1000 0100XOR1111 0110
R =

Answer key

  1. 1. N = 126
  2. 2. N = 110
  3. 3. U = 239
  4. 4. U = 210
  5. 5. M = 6075 KiB
  6. 6. R = 114

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