The Venn diagram representation x y x y z z x x y x - - PDF document

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The Venn diagram representation x y x y z z x x y x - - PDF document

Feb 02, 2023 89 likes •137 views

Constant 1 Constant 0 x x x x (c) Variable x x x y x y + x . y x y x y x y z + x y z x y The Venn diagram representation x y x y z z x x y x y x y z z

SLIDE 1

The Venn diagram representation

x y z x x y x y x x x Constant 1 Constant 0 (c) Variable x x x . y x y + x y z +

⋅ ⋅ ⋅ ⋅

x y

⋅ ⋅ ⋅ ⋅

y x

SLIDE 2

Verification of the distributive property

x y z x y z x y z x y z x y z x y z

x x y ⋅ ⋅ ⋅ ⋅ x y ⋅ ⋅ ⋅ ⋅ x + z ⋅ ⋅ ⋅ ⋅ x y z + ( ( ( ( ) ) ) ) ⋅ ⋅ ⋅ ⋅ x z ⋅ ⋅ ⋅ ⋅ y z +

SLIDE 3

Verification of

x y z y x z x y z x y

⋅

y z

⋅

x y

⋅

x + z

⋅

x z

⋅

x y z x y

⋅

x y

⋅

x + z y z

⋅

+

⋅

x y z x z

⋅

x y

⋅ ⋅ ⋅ ⋅

x + z y z =

⋅ ⋅ ⋅ ⋅

+

⋅ ⋅ ⋅ ⋅

x y

⋅ ⋅ ⋅ ⋅

x + z

⋅ ⋅ ⋅ ⋅

y z x y z x