need help: how do I simplify this equation. AB+(-A-BC). -A & -B means not A and Not B. My email address is dagarve@comcast.net
As written it is ambiguous. Does -BC mean "not B and C" or does it mean "not (B and C). You can either use parentheses or transform the expression to reverse Polish notation.
Rewriting the expression with parentheses as AB + (-A-B)C This expression is already in minimal form. There are no common factors, and thus there is no simplification. Why do you think that there is?
If I'm not mistaken, rewriting the expression with parentheses as AB + (-A-(BC)), it is also in minimal form (consider the expression using DeMorgans theorum). With only one of exach term I don't see how this can be simplified. Dave
AB+(-A-BC). -A & -B means not A and Not B IF expression (1) AB+A'+(BC)' (use "(XY)'=X'+Y' " ) =AB+A'+B'+C'; (use "X+X'Y=X+Y" ) =A'+(B+B')+C'; (USE"X+X'=1") =A'+1+C' (USE"1+X=1") =1 IF expression (2)AB+A'+B'C =AB+A'+B'C; (use "X+X'Y=X+Y" ) =A'+B+B'C'; (use "X+X'Y=X+Y" ) =A'+B+C' ;