Question

Show the implementation of the given function using 8x1

Multiplexer.

F(A,B,C,D) = ∑m(1,3,4,11,12,13,14,15).

Answer 1

To implement the function F(A,B,C,D) with an 8x1 Multiplexer, one must use A and B as select inputs and determine the data inputs from the function's truth table. Each data input represents the output of the function for the corresponding minterms.

Step-by-step explanation:

To implement the function F(A,B,C,D) = ∑m(1,3,4,11,12,13,14,15) using an 8x1 Multiplexer, you must first express the function in terms of the multiplexer's select inputs and corresponding data inputs. Given that the function is specified as a sum of minterms, you could translate it into a truth table and then derive the required data inputs for the multiplexer.

Steps to Implement the Function with 8x1 Multiplexer

1. Identify select inputs and data inputs for the multiplexer. Typically, the most significant variables (in this case A and B) would be used as select inputs.
2. Prepare a truth table based on the minterms of the function.
3. Derive the data inputs (D0 to D7) from the truth table for the combinations of A and B.
4. Connect the select lines of the multiplexer to the variables A and B and data lines to the derived values.

If A and B are the select inputs, data inputs for the multiplexer could be D0=0 (for minterm 0 not in the given minterms), D1=1 (for minterm 1), D2=0 (for minterm 2 not in the given minterms), D3=1 (for minterm 3), D4=1 (for minterm 4), and so on until D7=1 (for minterm 15). Ultimately, each data input line corresponds to the output F for the respective minterm, when A and B are set as select lines.