Simplifying a boolean expression

[sicktim]

Homework Statement

Simplify the following boolean expression:

Homework Equations

B'D' + A + BD + AD + B'C'D' + B'C + CD

The Attempt at a Solution

--line 1-- A(1+D') + B'D' + BD + B'C'D' + B'C + CD
--line 2-- A + B'D' + BD + B'C'D' + B'C + CD
--line 3-- A + B'(D' + C'D' + C) + D(B + C)

Can I simplify it any further?

 

[mighty2000]

your approach to simplifying this boolean expression would likely involve using logical reasoning and the properties of boolean algebra. First, you can simplify the expression by combining like terms, such as B'D' and B'C'D'. This would result in A + B'D' + B'C'D' + B'C + BD + AD + CD. Next, you can use the distributive property to factor out common terms, such as D, from the remaining terms. This would result in A + D(B + C) + B'C'(D' + 1) + BD + AD + CD. Finally, you can use the identity property to simplify B'C'(D' + 1) to B'C'. This would result in the final simplified expression of A + D(B + C) + B'C' + BD + AD + CD. So yes, you can simplify the expression further.