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Draw a truth table for x XOR 1 = x

  • Thread starter larry21
  • Start date
  • #1
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Homework Statement


Using boolean algebra, verify if the identity is true. Draw truth table to verify answers.

x XOR 1 = x

The Attempt at a Solution


[itex]x \oplus 1 = x[/itex]

(x’ * 1) + (x * 1’)
(x’ * 1) + (x * 0)
(x’ * 1) + 0
(x’ * 1)
x’

I've proven that the equation is false. How do I draw truth table to prove it? Help appreciated. Thanks.
 

Answers and Replies

  • #2
Simon Bridge
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You are using the truth table to verify the answer - what values can x take?
 
  • #3
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x can be true or false (1 or 0). I still don't know how to proceed...
 
  • #4
Simon Bridge
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How would you normally go about drawing a truth-table?
 
  • #5
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Normally I look at the equation; usually there are 2 variables and I list all possible combinations for them. but in this case, there's only one variable and a 1. What do I do with the 1?
 
  • #6
Simon Bridge
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Not all binary operations require two numbers for input.
The NOT operation for eg.

The XOR operation does not require two variables - just two numbers.
 

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