Given the following truth table, write its equivalent logic equation:

Question

1. Given the following truth table, write its equivalent logic equation:

A B C Y

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 0

1 0 0 1

1 0 1 0

1 1 0 1

1 1 1 0

show work and steps please

Answer 1

A B C Y

0 0 0 0 (0)

0 0 1 1 (1)

0 1 0 1 (2)

0 1 1 0 (3)

1 0 0 1 (4)

1 0 1 0 (5)

1 1 0 1 (6)

1 1 1 0 (7)

Find the rows where Y is 1 and find the corresponding combinations of A, B, and C. In this case, rows 1, 2, 4, 6 have Y equal to 1. So Y is A'B'C + A'BC' + AB'C' + ABC'