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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
TÉCNICA NOR
b)
TÉCNICA NAND Y NOR
NAND NOR
c)
TÉCNICA NAND
TÉCNICA NOR
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
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
Solucion taller de algebra booleana

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Solucion taller de algebra booleana

  • 1. 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
  • 4.
  • 5.
  • 6. 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
  • 7. 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