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 0x47. What is the pattern's value N in decimal?

0x47
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x81. What is the pattern's value N in decimal?

0x81
N =
3.Medium
place values in two's complement1−12816403211608041201

The 8-bit pattern 1101 0010 stores a signed integer in two's complement. What is its value N in decimal?

1101 00108 bit
N =
4.Medium
place values in two's complement1−12806413201618040201

The 8-bit pattern 1010 1000 stores a signed integer in two's complement. What is its value N in decimal?

1010 10008 bit
N =
5.Hard
24 bit1 px640 px480 pxM = ? KiB

An uncompressed image is 640 × 480 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

640 × 480 px24 bit/px1 KiB = 1024 B
M = KiB
6.Hard
24 bit1 px800 px600 pxM = ? KiB

An uncompressed image is 800 × 600 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

800 × 600 px24 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 71
  2. 2. N = 129
  3. 3. N = −46
  4. 4. N = −88
  5. 5. M = 900 KiB
  6. 6. M = 1406 KiB

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