Question

Using three two-to-one multiplexers realize the following Boolean expression. X = A'B'C' + A'BC' + AB'C' + A'B'C

Answer 1

To realize the Boolean expression X = A'B'C' + A'BC' + AB'C' + A'B'C using three two-to-one multiplexers, follow the steps provided.

Step-by-step explanation:

To realize the given Boolean expression using three two-to-one multiplexers (mux), we can follow these steps:

1. Connect the three inputs (A, B, and C) to the select lines of each mux.
2. Connect the complemented versions of the inputs (A', B', and C') to the other select lines of each mux.
3. For each mux, connect one of the inputs (either A, B, or C) to the 1-bit data input terminal.
4. Connect the outputs of the three muxes to a 3-input OR gate. This will give us the desired output (X = A'B'C' + A'BC' + AB'C' + A'B'C).