(Solved): Problem 2.3 Simplify the following Boolean functions using 4-variable K-maps: (a) F(w,x,y,z)=(0, ...

Expert Answer

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Solution:


A Boolean function is a mathematical function that takes one or more Boolean variables as input and produces a single Boolean output. A Boolean variable can take on only one of two values, typically represented as 0 and 1,


Part a)

(a)   

The K-map for this function is:

xz
wy 00 01 11 10
00 1 0 0 1
01 1 0 0 1
11 0 0 1 1
10 1 1 1 0

The K-map has four groups of adjacent 1's, which can be used to simplify the function: