Solving an Equation with a K-Map: Can You See Where I Went Wrong?

[Xkaliber]

Homework Statement

F = A'C' + A'BC + B'C

The Attempt at a Solution

I put the above equation into a k-map and it simplified down to F = A' + B'C. Pretty easy.

Well, after looking at the equation, that would seem to require that (C'+BC) = 1 since F = A'(C'+B'C) + B'C. However, if C = 1 and B = 0, then C'+BC = 0.

Can anyone see where I went wrong?

 

[wildman]

sure:
It is F = A'(C'+BC) + B'C
NOT F = A'(C'+BC) + BC