Determine the property of join in a boolean algebra, Mathematics

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Determine that in a Boolean algebra, for any a and b, (a Λ b) V (a Λ b' ) = a.

Ans: This can be proved either by using the distributive property of join over meet (or of meet over join) or utilizing a truth table for the expression. Let us make use of the truth table.

31_Boolean algebra.png

From the truth table, it is obvious which entries for the expression and that for 'a' are similar and therefore the result.

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