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.

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Name: ____________________   Date: ____________

1.Easy
place valuesD256F1601

Convert the hexadecimal number 0xDF0 to decimal. Find N.

0xDF0A = 10 … F = 15
N =
2.Easy
place values9256A1631

Convert the hexadecimal number 0x9A3 to decimal. Find N.

0x9A3A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −80 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −808 bit
U =
4.Medium
place values in two's complement1−12806413201608140201

The 8-bit pattern 1010 0100 stores a signed integer in two's complement. What is its value N in decimal?

1010 01008 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0011 0111 >> 3. What is the result's value R in decimal?

0011 0111>> 3
R =
6.Hard
24-bit two's complement, N = ??sign???????????????????????

What is the most negative integer N that can be stored in 24-bit two's complement?

24 bit
N =

Answer key

  1. 1. N = 3568
  2. 2. N = 2467
  3. 3. U = 176
  4. 4. N = −92
  5. 5. R = 6
  6. 6. N = −8.389 × 10⁶

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