I had a quick question. Given something like:

Where does the A go from line 2 to 3. It goes from A'C' + AB'C' + ABC to A'C' + B'C' + ABC and I do not see how they got rid of the A.

Here is the whole problem:

and

Thanks

F, = A'B'C' + A'BC' + AB'C' + ABC = A'C' + AB'C' + ABC = A'C' + B'C' + ABC Work parts (a) through (d) with the given truth table. A B F, F, F5 Fa 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 X 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 X 0 1 1 1 0 0 x x X 1 1 1 1 X 1 X -OO-FOXX (a) Find the simplest expression for F1, and specify the values for the don't cares that lead to this expression (b) Repeat for F2 (C) Repeat for F3 (d) Repeat for F4 (b) When ded, are 0 F = A'B'C' + ABC' + AB'C' = A'C' + AB'C' = A'C' + B'C' When do = 0 and d, =1, F, = A'B'C' + A'BC' + AB'C' + ABC = A'C' + AB'C' + ABC = A'C' + B'C' + ABC When do = 1 and d, = 0, F, = A'B'C' + A'BC' + AB'C' + ABC = A'C' + AC =C' When dod, are 1, F = A'B'C' + A'BC' + AB'C' + ABC' + ABC = C'+ AB Hence simplest expression of F, is C' for don't cares (1,0)