Question

Create the Kmaps and then simplify for the following functions (leave in sum-of-products form):

a) F(w, x, y, z) = w′x′y′z + w′x′yz′ + w′xy′z + w ′xyz + w′xyz′ + wxy′z + wxyz + wx′y′z
b) F(w, x, y, z) = w′x′y′z′ + w′z + w′x′yz′ + w′xy ′z′ + wx′y
c) F(w, x, y, z) = w′x′y′ + w′xz + wxz + wx′y′z′

Answer 1

K-Maps can be used to simplify Boolean functions by identifying groups of 1s in the truth table that can be combined. Here are the simplified expressions for the given functions.

Step-by-step explanation:

The given functions can be simplified using Karnaugh maps (K-Maps). Here are the simplified expressions for each function:

a) F(w, x, y, z) = wx'y' + w'xz + wy'z + xyz

b) F(w, x, y, z) = wx'y'z' + w'z + w'xy'z' + wx'y'

c) F(w, x, y, z) = w'x'y' + wxz + wxy'

K-Maps can be used to simplify expressions by identifying groups of 1s in the truth table that can be combined to form a more simplified expression. The simplified expressions are provided in sum-of-products form, where the terms are ANDed together and then ORed together.