# the Exclusive OR operator

posted 10 years ago

Hi,

I have a very basic question:

Exclusive or means that if the two operand bits are different the result is 1; otherwise the result is 0

I read in a book that 2^5 evaluates to 7. How is that possible ?

I have a very basic question:

Exclusive or means that if the two operand bits are different the result is 1; otherwise the result is 0

I read in a book that 2^5 evaluates to 7. How is that possible ?

SCJP 1.4, SCWCD 1.4, SCBCD 1.3, SCBCD 5

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Rick Beaver

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Posts: 464

posted 10 years ago

I still dont get it: shouldn't the result be 1 or 0 ?

Why are we adding the 2 operands here ?

[ September 22, 2005: Message edited by: Max longbeach ]

Why are we adding the 2 operands here ?

[ September 22, 2005: Message edited by: Max longbeach ]

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posted 10 years ago

The operands 2 and 5 are not being added, although addition in this case produces the same result, which may be confusing you. The operands are the individual bits that represent each number in binary notation, not decimal notation.

Here's another example 2^3=1.

The ^ XOR operator works at the bit level, so convert the decimal numbers to binary:

2 = 0010

3 = 0011

^ = 0001

Here's another example 2^3=1.

The ^ XOR operator works at the bit level, so convert the decimal numbers to binary:

2 = 0010

3 = 0011

^ = 0001

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Jeff Albertson

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Posts: 1780

posted 10 years ago

You are thinking of a single-bit, exclusive-or operation:

0 EXOR 0 is 0

0 EXOR 1 is 1

1 EXOR 0 is 1

1 EXOR 1 is 0

But the Java ^ operation on integral types is a

The operation defined above is applied to all the bits of the ^ operands,

in parallel, as the previous poster demonstrated.

Also note than ^ is defined for booleans, and does want you wish: the

result is true iff the operand have different boolean values:

false ^ false is false

false ^ true is true

true ^ false is true

true ^ true is false

But then again, you get the same result with boolean's == operation.

0 EXOR 0 is 0

0 EXOR 1 is 1

1 EXOR 0 is 1

1 EXOR 1 is 0

But the Java ^ operation on integral types is a

*bitwise*operation.The operation defined above is applied to all the bits of the ^ operands,

in parallel, as the previous poster demonstrated.

Also note than ^ is defined for booleans, and does want you wish: the

result is true iff the operand have different boolean values:

false ^ false is false

false ^ true is true

true ^ false is true

true ^ true is false

But then again, you get the same result with boolean's == operation.

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