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 values012816413211608140211

Convert the binary number 0111 0101₂ to decimal. Find N.

0111 0101₂
N =
2.Easy
place valuesC256E1631

Convert the hexadecimal number 0xCE3 to decimal. Find N.

0xCE3A = 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 complement0−12806403201608040201

Set the bits so they store −116 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1168 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1001 0000 << 3. What is the result's value R in decimal?

1001 0000<< 3
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1101 1110 OR 1011 1111. What is the result's value R in decimal?

1101 1110OR1011 1111
R =

Answer key

  1. 1. N = 117
  2. 2. N = 3299
  3. 3. U = 171
  4. 4. U = 140
  5. 5. R = 128
  6. 6. R = 255

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