Solucion taller de algebra booleana

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a) [(1 + ⋅ ) + ⋅ ]( + + ) ( + )]( + + ) ⋅ ( + )[( + ) + ] ( + )( ⋅ + ) ( + ⋅ ) b) [ + ) ⋅ ( ⋅ + ) ⋅ ( + ) ( + ) ⋅ ( + ) ( + ((1)) c) + + ) + )( ++) ( + )( + )() ) ( + ) + __ ) ( + )(0 + (0)) ( + ) a). TÉCNICA NAND

Transcript of Solucion taller de algebra booleana

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a) [𝐴(1 + 𝐵 ⋅ 𝐶) + 𝐴 ⋅ 𝐵](𝐴 + 𝐵 + 𝐶) 𝐴𝐵(𝐴 + 𝐶)](𝐴 + 𝐵 + 𝐶) 𝐴 ⋅ 𝐵(𝐴 + 𝐶)[(𝐴 + 𝐶) + 𝐵] (𝐴 + 𝐶)(𝐴 ⋅ 𝐵 + 𝐵) (𝐴 + 𝐶 ⋅ 𝐵)

b) [𝐴 + 𝐵) ⋅ (𝐴 ⋅ +𝐶 ) ⋅ (𝐵 + 𝐶) 𝐵(𝐴 + 𝐶) ⋅ (𝐴 + 𝐶 ) 𝐵(𝐴𝐶𝐶 + 𝐶 𝐵(𝐴(1)) 𝐵𝐴

c) 𝐴 + 𝐶𝐵 + 𝐶) + 𝐴 𝐵 𝐶)(𝐴 + 𝐵 + 𝐶)

(𝐵 + 𝐶)(𝐴 + 𝐴 𝐵 𝐶)(𝐴) ) (𝐵 + 𝐶)𝐴 𝐴 + 𝐴𝐴__ 𝐵 𝐶) (𝐵 + 𝐶)(0 + (0)) (𝐵 + 𝐶)

a).

TÉCNICA NAND

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TÉCNICA NOR

b)

TÉCNICA NAND Y NOR

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NAND NOR

c)

TÉCNICA NAND

TÉCNICA NOR

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A B C SALIDA

0 0 0 1

0 0 1 1

0 1 0 0

0 1 1 1

1 0 0 0

1 0 1 0

1 1 0 1

1 1 1 0

A B C D SALIDA 1 SALIDA 2

0 0 0 0 0 0

0 0 0 1 0 1

0 0 1 0 1 1

0 0 1 1 1 0

0 1 0 0 0 0

0 1 0 1 0 0

0 1 1 0 0 0

0 1 1 1 0 1

1 0 0 0 0 0

1 0 0 1 0 0

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1 0 1 0 0 0

1 0 1 1 0 1

1 1 0 0 0 0

1 1 0 1 0 1

1 1 1 0 0 0

1 1 1 1 0 0

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