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Showing posts with label idempotent law. Show all posts
Showing posts with label idempotent law. Show all posts

Wednesday, February 18, 2009

idempotent law in a boolean algebra

show that a + a = a in a boolean algebra

a = a + 0
= a + (a. a' )
= (a + a ). (a + a ' )
= (a + a ). 1
= (a + a )

therefore a + a = a
note that the dual is a . a = a

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