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 values112816403201608041201

Convert the binary number 1100 0010₂ to decimal. Find N.

1100 0010₂
N =
2.Easy
place values012816403211608141211

Convert the binary number 0101 0111₂ to decimal. Find N.

0101 0111₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −15 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −158 bit
U =
4.Medium
place values in two's complement1−12816403211608041201

The 8-bit pattern 1101 0010 stores a signed integer in two's complement. What is its value N in decimal?

1101 00108 bit
N =
5.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 0011 1010 AND 1111 1001. What is the result's value R in decimal?

0011 1010AND1111 1001
R =
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1011 1110 XOR 0101 0001. What is the result's value R in decimal?

1011 1110XOR0101 0001
R =

Answer key

  1. 1. N = 194
  2. 2. N = 87
  3. 3. U = 241
  4. 4. N = −46
  5. 5. R = 56
  6. 6. R = 239

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