Question

F(A,B,C,D)=A′B′C′+AD′+A′BC′D′

A. Express F as sum of minterms.
B. Give the complement of F as sum of products (doesn't need to be in canonical form)

Answer 1

F(A,B,C,D) can be expressed as a sum of minterms: A'B'C' + AD' + A'BC'D'. The complement of F as a sum of products is: (A+B+C)(A+D)(B+C+D).

Step-by-step explanation:

To express the function F(A,B,C,D) as a sum of minterms, we need to identify the minterms where F evaluates to 1. A minterm is a product term where each variable appears exactly once in either complemented or uncomplemented form. For the given function, the minterms are: A'B'C', AD', and A'BC'D'.

These correspond to the terms where F is equal to 1. Therefore, F(A,B,C,D) can be expressed as the sum of these minterms: A'B'C' + AD' + A'BC'D'.

To find the complement of F as a sum of products, we need to identify the maxterms where F evaluates to 0. A maxterm is a sum term where each variable appears exactly once in either complemented or uncomplemented form. The complement of F can be obtained by complementing the minterms.

So, the complement of F as a sum of products is: (A+B+C)(A+D)(B+C+D).