$29
1. (30 points) Simplify the following function by using boolean algebra F (x; y; z) = xy + x0 z + yz.
2. (30 points) Derive that (x + y)(x0 + z)(y + z) = (x + y)(x0 + z) by using boolean algebra.
3. (a) (30 points) Express the following function in sum of minterms and
product of maxterms by using truth table
F(A; B; C; D) = B0D + A0D + BD.
(b) (10 points) Simplify the standard expression F(A; B; C; D) = B0D + A0D + BD.
1