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What is the function Y = A + B̅C in Product-of-Sums (POS) form? 

What is the function Y = A + B̅C in Product-of-Sums (POS) form?  Correct Answer M<sub style="">0</sub>M<sub style="">2</sub>M<sub style="">3</sub>

Concept:

Canonical Form:  Any Boolean function that expressed as a sum of minterms or as a product of max terms is said to be in its canonical form.

There are two types of canonical forms:

SOP:

Sum of products or sum of minterms

In SOP (sum of product) form, a minterm is represented by 1.

Example of SOP: XY + X’Y’

POS:

Product of sums or product of max terms

In POS (product of sum) form, a maxterm is represented by 0.

Example of POS: (X+Y) (X’+Y’)

Calculation:

Given:

Y = A + B̅C

The function is plotted on K map below,

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Y = ∑m(1, 4, 5, 6, 7)

Converting the function from SOP to POS form

Y = ΠM(0, 2, 3)

= M0 M2 M3

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