Convert boolean expression into SOP and POS algebraically

**Question:**

Convert the following boolean expression into SOP and POS canonical forms using boolean algebra method.

$\displaystyle (ac + b)(a + \overline{b}c) + ac$

Attempt at solution:

$\displaystyle (ac + b)(a + \overline{b}c) + ac$

1. $\displaystyle (a + b)(c + b)(a + \overline{b})(a + c) + ac$

2. ??

3. ??

That's as far as I got. I'm not sure what I'm supposed to do next. Help appreciated. Thank you.

Re: Convert boolean expression into SOP and POS algebraically

Hey larry21.

What does SOP and POS mean for readers like myself who are unfamiliar with these terms?

Re: Convert boolean expression into SOP and POS algebraically

SOP = sum of products

POS = product of sums

Re: Convert boolean expression into SOP and POS algebraically

Hint: Can you reduce (a + c) + ac to simply (a + c) [Check the truth table for verification]?