Final answer:
To simplify the expression ABC + ABC + ABC + ABC + ABC using a K-map, group the cells with a 1 in the truth table to obtain the simplified expression AB + C.
Step-by-step explanation:
To simplify the expression using a K-map, we need to create a truth table to identify the redundant terms. Since the expression contains a don't care condition, we will also include it in the truth table. The variables ABC represent the inputs, and the don't care condition is represented by X.
Truth Table:
ABCDon't Care000 1, 001 1, 010 1, 011 1, 100 1, 101 0, 110 0, 111 0
To simplify the expression, we look for grouping of adjacent cells in the K-map. In this case, we can group the cells with a 1 in the truth table, resulting in the expression: AB + C
Final Simplified Expression: AB + C