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.

 

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

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?

 

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.

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' ;

 

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' ;

I think you copied the original expression incorrectly. There are only two terms, not three.