- #1

- 61

- 1

## Homework Statement

Hi my question is whether an SOP = POS for a given function F(A, B, C, D). Or is the SOP a complement of POS?

Tasked to convert derive a simplfied SOP from a 4 var Kmap with dont cares.

My answer was,

F = C'.D' + A'.B'.C which is correct.

Then for part B they asked for the simplified POS form.

## The Attempt at a Solution

F = C'.D' + A'.B'.C

F' = (C'.D' + A'.B'.C)' (Using Dmorg)

F' = ((c+d)' + (a+b+c')')' (Using Dmorg)

F' = (c+d)'.(a+b+c')'

F = ((c+d)'.(a+b+c')')'

F = (c+d) +(a+b+c') (Stuck here)

If i used Kmap i got the answer which is

D.(B'+C').(A'+C')

I wanna know the boolean algebra way

Last edited: