Question

1. (10%) Simplify the following Boolean functions or expression, using three-variable maps (0,2,4, 5,6 F(x, y,) lal 4 bl F(r, y, z)xy x'yz y

Answer 1

a. F(x, y, z)= {(0,2,4,5,6) = xyz + xyz + xyz + xyz + xyz' at TOO From group 1 we get product team - xy From group 2 we get product term- I Summing these product teams we get final expression - xy + 2

(6) F(x, y, 2) = xy + xyz + yz' There are in sum of product form. So we have to connext to Canonical disjunctive normal form (CONF) of minteam Canonical from. exy' (2+2) + xyz + (x+x) y z = xyz + xyz + xyz + xyz'talyz' (DMF) Group, we get_ ayl Group 2 we get = xy Group 3 we get = y z : Final expression - xy + y +azi

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