How do I draw a combination logic circuit to implement this Boolean expression?

I'm doing Computer Hardware and struggling with this question. Could someone help me please?

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2 Answers

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  • 1 month ago

    Start by simplifying the expression. 

        Y = AC'F + ACF + CF'

            = AF(C + C') + CF'         Factor AF from first two terms

            = AF(1) + CF'                 Replace C+C' with 1 ("true")

            = AF + CF'                     1 is an identity for "and"

    That's three two-input gates plus an inverter to get F'. 

       (A and F) or (C and (not F)) -->  Y

    That's pretty simple.  Was there some restriction, like only NAND gates or only 2-input gates on the original expression without simplifying?

  • EddieJ
    Lv 7
    1 month ago

    Start with something simpler:

    Draw Y= AC

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