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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1.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0xD6. What is the pattern's value N in decimal?

0xD6
N =
2.Easy
place valuesB256516D1

Convert the hexadecimal number 0xB5D to decimal. Find N.

0xB5DA = 10 … F = 15
N =
3.Medium
place values in two's complement1−12806403211608040211

The 8-bit pattern 1001 0001 stores a signed integer in two's complement. What is its value N in decimal?

1001 00018 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −56 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −568 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0010 0011 << 2. What is the result's value R in decimal?

0010 0011<< 2
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1101 1110 OR 0001 1001. What is the result's value R in decimal?

1101 1110OR0001 1001
R =

Answer key

  1. 1. N = 214
  2. 2. N = 2909
  3. 3. N = −111
  4. 4. U = 200
  5. 5. R = 140
  6. 6. R = 223

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