I am trying to make a truth table from an SOP boolean algebra expression. I understand AND, OR, NOT truth tables. I just don't understand these types of tables and their outputs.
This is the expression: $$A'BD' + BCD + ABC' + AB'D = A'BD' + BCD + ABC' + AB'D + BC'D' + A'BC + ABD.$$
I can use either side whichever is easier. Just let me know which side.
Would $A'$ be a $1$ and the others be a zero? I am also not sure how they get the output?
I understand the outputs of a AND, OR truth tables.
But I can't figure out these outputs. Would this be considered an OR table since the expression is $+$?
Would I just construct $A$, $B$, and $D$ with nots = 1 or zero? Then, how do I determine the output?
----------------------- A | B | D | output ----------------------- | 1 | 0 | 1 | 1? | A'BD' ------------------------ | 0 | 0 | 0 | 0? | BCD ------------------------ | 0 | 0 | 1 | 1? | ABC' -------------------------
something like that.
What I am trying to achieve is how the below expression is true using theorems.
$$A'BD' + BCD + ABC' + AB'D = A'BD' + BCD + ABC' + AB'D + BC'D' + A'BC + ABD$$