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 values325621641

Convert the hexadecimal number 0x324 to decimal. Find N.

0x324A = 10 … F = 15
N =
2.Easy
place values012806413201618041211

Convert the binary number 0010 1011₂ to decimal. Find N.

0010 1011₂
N =
3.Medium
place values in two's complement0−12806403201608141201

The 8-bit pattern 0000 0110 stores a signed integer in two's complement. What is its value N in decimal?

0000 01108 bit
N =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −42 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −428 bit
U =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0010 0100 OR 0101 0000. What is the result's value R in decimal?

0010 0100OR0101 0000
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1100 1111 XOR 1110 1101. What is the result's value R in decimal?

1100 1111XOR1110 1101
R =

Answer key

  1. 1. N = 804
  2. 2. N = 43
  3. 3. N = 6
  4. 4. U = 214
  5. 5. R = 116
  6. 6. R = 34

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