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 0x71. What is the pattern's value N in decimal?

0x71
N =
2.Easy
place values012806413211608140201

Convert the binary number 0011 0100₂ to decimal. Find N.

0011 0100₂
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −74 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −748 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −65 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −658 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0111 0100 OR 1000 1110. What is the result's value R in decimal?

0111 0100OR1000 1110
R =
6.Hard
8 bit1 px256 px256 pxM = ? KiB

An uncompressed image is 256 × 256 pixels with 8 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

256 × 256 px8 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 113
  2. 2. N = 52
  3. 3. U = 182
  4. 4. U = 191
  5. 5. R = 254
  6. 6. M = 64 KiB

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