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 values112806403211608041211

Convert the binary number 1001 0011₂ to decimal. Find N.

1001 0011₂
N =
2.Easy
place values3256116E1

Convert the hexadecimal number 0x31E to decimal. Find N.

0x31EA = 10 … F = 15
N =
3.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −39 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −398 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −90 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −908 bit
U =
5.Hard
24 bit1 px1024 px768 pxM = ? KiB

An uncompressed image is 1024 × 768 pixels with 24 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1024 × 768 px24 bit/px1 KiB = 1024 B
M = KiB
6.Hard
24 bits, unsigned, N = ?????????????????????????

What is the largest unsigned integer N that fits in 24 bits?

24 bit
N =

Answer key

  1. 1. N = 147
  2. 2. N = 798
  3. 3. U = 217
  4. 4. U = 166
  5. 5. M = 2304 KiB
  6. 6. N = 1.678 × 10⁷

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