Can someone please explain why the F( X, Y ) is XY' + XY ? IMO , it is X'Y' + X'Y +XY' +XY ... or the author simplified it to become XY' + XY ? how to simplify it?
no, i am studying myself during the holiday.jedishrfu said:Use boolean algebra to reduce it. In boolean algebra X+X' = 1 and use algebra to extract common factors.
Is this a homework assignment?
i only managed to reduce it to XY +Y' +X'Yjedishrfu said:Did my advice make sense?
Boolean algebra rules are the same as ordinary algebra with the added concepts X=X'=1 and X.X'=0 and X=0 means X=false and X=1 means X=true. Engineers start with a truth table for a circuit, construct boolean expressions, reduce them down using boolean algebra ruls and then construct a circuit from the reduced expressions.
jedishrfu said:what about the 1st and 3rd term? they have a common Y.
Hi Desmond. No one can explain it. It's a misprint.desmond iking said:Can someone please explain why the F( X, Y ) is XY' + XY ?
It's a misprint. F(X,Y) is true when either of these is true: X'Y or XY'desmond iking said:I noticed that theF(X , Y) is the outcome of the addition of the last two. *correct me if I m wrong* , why it only involve the addition of last two term? Why not also the first two terms??