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 valuesD256216A1

Convert the hexadecimal number 0xD2A to decimal. Find N.

0xD2AA = 10 … F = 15
N =
2.Easy
place values7256C1681

Convert the hexadecimal number 0x7C8 to decimal. Find N.

0x7C8A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −85 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −858 bit
U =
4.Medium
8-bit two's complement?−128?64?32?16?8?4?2?1

Write −101 as an 8-bit two's complement pattern. Read the pattern as an unsigned binary number: what is its value U in decimal?

N = −1018 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0110 0100 OR 0110 1000. What is the result's value R in decimal?

0110 0100OR0110 1000
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0011 1011 >> 3. What is the result's value R in decimal?

0011 1011>> 3
R =

Answer key

  1. 1. N = 3370
  2. 2. N = 1992
  3. 3. U = 171
  4. 4. U = 155
  5. 5. R = 108
  6. 6. R = 7

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