Math, asked by deevithashreem19ece, 8 months ago

Simplify the given boolean expression F=P.Q'.R(Q.S+R.S.T) + P.R'​

Answers

Answered by sriraagatangirala81
1

F(P, Q, R, S) = PQ + P'QR + P'QR'S

= Q(P + P'R + P'R'S)

= Q(P + R + R'S)

= Q(P + R + S)

= PQ + QR + QS

hope it helps you !!

Answered by arshikhan8123
0

Your question is incomplete. Please refer to the content below:

Simplify the given Boolean expression:

F: F(P, Q, R, S) = PQ + P'QR + P'QR'S

Concept:

A Boolean expression:

It refers to a logical statement that is either true or false.

Given:

We are given the expression:

F: F(P, Q, R, S) = PQ + P'QR + P'QR'S

Find:

We need to simplify the expression.

Solution:

We have:

F: F(P, Q, R, S) = PQ + P'QR + P'QR'S

F = PQ + P'Q( R + R'S )

This can also be written as:

F = PQ + P'Q( R + R' )( R + S )

F = PQ + P'Q( R + S )

F = Q ( P + P'R + P'S )

F = Q [ ( P + P')(P + R) + ( P + P')(P + S) ]

F = Q( P + R + P + S)

According to the Boolean algebra, we get that:

F = Q ( P + R + S)

F = QP  + QR + QS

Therefore, after simplifying the expression F: F(P, Q, R, S) = PQ + P'QR + P'QR'S, we get the answer as QP  + QR + QS.

#SPJ2

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