Answer to Question #178793 in Electric Circuits for fihjo

Question

Consider the Boolean function 𝐹(𝐴, 𝐵, 𝐶,𝐷, 𝐸) = ∑𝑚(1,2,3,4,8,9,11,13,14,16,17,18,20,21,26,29,31) and implement the function using one 16×1 multiplexer.

Answer 1

$1=00001=A'B'C'D'E$

$2=00010=A'B'C'DE'$

$3=00011=A'B'C'DE$

$4=00100=A'B'CD'E'$

$8=01000=A'BC'D'E'$

$9=01001=A'BC'D'E$

$11=01011=A'BC'DE$

$13=01101=A'BCD'E$

$14=01110=A'BCDE'$

$16=10000=AB'C'D'E'$

$17=10001=AB'C'D'E$

$18=10010=AB'C'DE'$

$20=10100=AB'CD'E'$

$21=10101=AB'CD'E$

$26=11010=ABC'DE'$

$29=11101=ABCD'E$

$31=11111=ABCDE$

A, B, C, D are the select lines; E is input.