Question

Let (B, +, .,') is a Boolean algebra. Show that a.b + a.b' + a'.b + a'.b' = 1

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Theorem 8: For every pair a, b in B

a + a’∙b = a + b; a∙(a’ + b) = a∙b

Proof: a + a’∙b

= (a + a’)∙(a + b) (P2)

= (1)∙(a + b) (P4)

= a + b (P3)