Question

Implement a four-input majority function using a 4-to-1 μltiplex. The 4-input majority function is a function from four inputs to one output. The value of the operation is zero when two or more arguments are zero. Otherwise, the function outputs one.

a. Connect all four inputs to the μltiplexer.
b. Use AND gates to combine the inputs.
c. Utilize the μltiplexer to select the majority input.
d. Connect the output of the μltiplexer as the function output.

Answer 1

To implement a four-input majority function using a 4-to-1 multiplexer, connect the inputs to the multiplexer, use AND gates to combine the inputs, utilize the multiplexer to select the majority input, and connect the output of the multiplexer as the function output.

Step-by-step explanation:

To implement a four-input majority function using a 4-to-1 multiplexer, follow these steps:

1. Connect all four inputs (A, B, C, D) to the multiplexer.
2. Use AND gates to combine the inputs. For example, connect inputs A and B to AND gate 1, inputs A and C to AND gate 2, inputs A and D to AND gate 3, and inputs B and C to AND gate 4.
3. Connect the outputs of the AND gates to the select lines of the multiplexer. For example, connect the output of AND gate 1 to select line S0, output of AND gate 2 to S1, output of AND gate 3 to S2, and output of AND gate 4 to S3.
4. Connect the output of the multiplexer to the function output.