Simplify the following Boolean functions algebraically. Indicate which of the Laws are applied at each step. Check your answer with truth tables for Problems 4 and 5

Question

Please help me with this boolean expressions this is too difficult for me, please show its done so i can learn from it all steps and work.

Simplify the following Boolean functions algebraically. Indicate which of the Laws are applied at each step. Check your answer with truth tables for Problems 4 and 5

 https://i.postimg.cc/Y0r42c1N/boolean2.png

Answer 1

Hi Dan B.,

I suggest you get in the habit of sketching the Boolean tables for the various expressions, until you get familiar with the simplifications. I'll use underlines instead of overbars (not easily accessible!)

So for 4), regroup into AB + AB + AB + AB = A + A = 1 .

For 5, write your Boolean table for A, B, (A+B) and (A+B), to see that that simplifies to AB. That is a more restrictive condition than the second term, so that's the answer.

Again, write out some tables for various "operations" and groupings, until you get familiar with Boolean thinking. It doesn't exactly follow arithmetic intuition!

-- Cheers, --Mr. d.