Constants y form1 z form 2 of the distributive

Unformatted text preview: th constants ⋅ ⋅y Form 1 ⋅ z ⋅ Form 2 of the distributive identity is counterintuitive and different from algebra ⋅ ⋅ ⋅ Form 2 ⋅ ⋅ xyz 000 100 101 101 110 110 111 ⋅ ⋅ 011 100 ⋅ 010 011 y⋅z 001 010 ⋅ ⋅ 000 001 ⋅ 111 2 2/9/2014 DeMorgan’s Law tells us how a complement distributes over other operators Form 1 ⋅ Form 1 Form 2 ̅ x y 0 0 1 1 ⋅ ̅⋅ · 0 1 0 1 ⋅ ̅ 1 1 0 0 ̅ · · · · · ̅ Boolean Identity Associative Commutative Identity Null Idempotence Complementarity Involution Distributive deMorgan Form 2 ̅ ̅⋅ x y ̅ 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 ̅⋅ 1 0 1 0 Form 1 and Form 2 of the Boolean identities are duals of each other Summary table of Boolean identities Form 1 ·· · · ·1 ·0 0 · ·̅ 0 ̿ · DeMorgan’s Law tells us how a complement distributes over other operators Form 2 0 1 1 ̅ 1 ̿ · · ̅· x↔x +↔• 0↔1 Quiz...
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