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 valuesD256416B1

Convert the hexadecimal number 0xD4B to decimal. Find N.

0xD4BA = 10 … F = 15
N =
2.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x54. What is the pattern's value N in decimal?

0x54
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −97 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −978 bit
U =
4.Medium
place values in two's complement1−12816403201608040201

The 8-bit pattern 1100 0000 stores a signed integer in two's complement. What is its value N in decimal?

1100 00008 bit
N =
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
20 bits, unsigned, N = ?????????????????????

What is the largest unsigned integer N that fits in 20 bits?

20 bit
N =

Answer key

  1. 1. N = 3403
  2. 2. N = 84
  3. 3. U = 159
  4. 4. N = −64
  5. 5. M = 937.5 KiB
  6. 6. N = 1.049 × 10⁶

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