The circuit of Figure 9-80 shows how an eight-input MUX can be used to generate a four-variable

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The circuit of Figure 9-80 shows how an eight-input MUX can be used to generate a four-variable logic function, even though the MUX has only three SELECT inputs. Three of the logic variables A, B, and C are connected to the SELECT inputs. The fourth variable D and its inverse D are connected to selected data inputs of the MUX as required by the desired logic function. The other MUX data inputs are tied to a LOW or a HIGH as required by the function.

(a) Set up a truth table showing the output Z for the 16 possible combinations of input variables.

(b) Write the sum-of-products expression for Z and simplify it to verify that

Z = CBA + DCBA + DCBA


Figure 9-80

B MI E So S S lo 1 12 13 74HC151 MUX N +5 V 16 17

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Digital Systems Principles And Application

ISBN: 9780134220130

12th Edition

Authors: Ronald Tocci, Neal Widmer, Gregory Moss

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