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 0x67. What is the pattern's value N in decimal?

0x67
N =
2.Easy
place values112816413201618141201

Convert the binary number 1110 1110₂ to decimal. Find N.

1110 1110₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −23 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −238 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −98 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −988 bit
U =
5.Hard
24 bit1 px256 px256 pxM = ? KiB

An uncompressed image is 256 × 256 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

256 × 256 px24 bit/px1 KiB = 1024 B
M = KiB
6.Hard
32 bit1 px800 px600 pxM = ? KiB

An uncompressed image is 800 × 600 pixels with 32 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

800 × 600 px32 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 103
  2. 2. N = 238
  3. 3. U = 233
  4. 4. U = 158
  5. 5. M = 192 KiB
  6. 6. M = 1875 KiB

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