So I'm working on my little project, but I'm stuck at the boolean expressions. I've got the truth table:
H | I | J | K | L | M | N | O | P | Q || a | b | c | d | e | f | g
0|0|0|0|0|0|0|0|0|0||1|1|1|1|1|1|0
0|0|0|0|0|0|0|0|0|1||0|1|1|0|0|0|0
0|0|0|0|0|0|0|0|1|1||1|1|0|1|1|0|1
0|0|0|0|0|0|0|1|1|1||1|1|1|1|0|0|1
0|0|0|0|0|0|1|1|1|1||0|1|1|0|0|1|1
0|0|0|0|0|1|1|1|1|1||1|0|1|1|0|1|1
0|0|0|0|1|1|1|1|1|1||1|0|1|1|1|1|1
0|0|0|1|1|1|1|1|1|1||1|1|1|0|0|0|0
0|0|1|1|1|1|1|1|1|1||1|1|1|1|1|1|1
0|1|1|1|1|1|1|1|1|1||1|1|1|1|0|1|1
1|1|1|1|1|1|1|1|1|1||1|1|0|0|1|1|1
So now I need to convert this to boolean expressions. I've started like this:
a=(~H.~I.~J.~K.~L.~M.~N.~O.~P.~Q)+(~H.~I.~J.~K.~L.~M.~N.~O.P.Q)+(~H.~I.~J.~K.~L.~M.~N.O.P.Q)
+(~H.~I.~J.~K.~L.M.N.O.P.Q)+(~H.~I.~J.~K.L.M.N.O.P.Q)+(~H.~I.~J.K.L.M.N.O.P.Q)+(~H.~I.J.K.L.M.N.O.P.Q)+(~H.I.J.K.L.M.N.O.P.Q)+(H.I.J.K.L.M.N.O.P.Q)
And I simplified to this:
a=~H.(~I.(~J.(~K.(~L.(~M.(~N.(~O.((~P.~Q)+(P.Q))+(O.P.Q))+(M.N.O.P.Q))+(L.M.N.O.P.Q))+(K.L.M.N.O.P.Q))+(J.K.L.M.N.O.P.Q))+(I.J.K.L.M.N.O.P.Q))+(I.J.K.L.M.N.O.P.Q))+(H.I.J.K.L.M.N.O.P.Q)
But this still isn't quite simple.
Could anybody help me simplifying this?
0|0|0|0|0|0|0|0|0|0||1|1|1|1|1|1|0
0|0|0|0|0|0|0|0|0|1||0|1|1|0|0|0|0
0|0|0|0|0|0|0|0|1|1||1|1|0|1|1|0|1
0|0|0|0|0|0|0|1|1|1||1|1|1|1|0|0|1
0|0|0|0|0|0|1|1|1|1||0|1|1|0|0|1|1
0|0|0|0|0|1|1|1|1|1||1|0|1|1|0|1|1
0|0|0|0|1|1|1|1|1|1||1|0|1|1|1|1|1
0|0|0|1|1|1|1|1|1|1||1|1|1|0|0|0|0
0|0|1|1|1|1|1|1|1|1||1|1|1|1|1|1|1
0|1|1|1|1|1|1|1|1|1||1|1|1|1|0|1|1
1|1|1|1|1|1|1|1|1|1||1|1|0|0|1|1|1
a=(~H.~I.~J.~K.~L.~M.~N.~O.~P.~Q)+(~H.~I.~J.~K.~L.~M.~N.~O.P.Q)+(~H.~I.~J.~K.~L.~M.~N.O.P.Q)
+(~H.~I.~J.~K.~L.M.N.O.P.Q)+(~H.~I.~J.~K.L.M.N.O.P.Q)+(~H.~I.~J.K.L.M.N.O.P.Q)+(~H.~I.J.K.L.M.N.O.P.Q)+(~H.I.J.K.L.M.N.O.P.Q)+(H.I.J.K.L.M.N.O.P.Q)
And I simplified to this:
a=~H.(~I.(~J.(~K.(~L.(~M.(~N.(~O.((~P.~Q)+(P.Q))+(O.P.Q))+(M.N.O.P.Q))+(L.M.N.O.P.Q))+(K.L.M.N.O.P.Q))+(J.K.L.M.N.O.P.Q))+(I.J.K.L.M.N.O.P.Q))+(I.J.K.L.M.N.O.P.Q))+(H.I.J.K.L.M.N.O.P.Q)
But this still isn't quite simple.
Could anybody help me simplifying this?