Consider the following circuit The function by the network above is,

2020

Consider the following circuit

image.png

The function by the network above is,

  1. A.

    (AB)'E + EF + (CD)'F

  2. B.

    (E' + ABF')(C + D + F')

  3. C.

    ((AB)' + E)(E' + F')(C + D + F')

  4. D.

    (A + B)E' + (EF)' + CDF'

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Correct answer: B

The circuit begins with a NAND gate outputting (AB)' and a NOR gate outputting (C+D)'. These signals combine with inputs E and F in three AND gates to produce terms (AB)'E, EF, and (C+D)'F.

The final gate is a NOR operation on these three terms, creating the expression ((AB)'E + EF + (C+D)'F)'. Applying De Morgan's laws simplifies this to (E' + ABF')(C + D + F').

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