Implementing Boolean Function Using 8X1 Multiplexer Module

How can we implement the Boolean function f(a,b,c)=a′b+ac′ using an 8X1 multiplexer module?

What are the steps to utilize the 8X1 multiplexer module in implementing this specific Boolean function?

Implementing a Boolean function using an 8X1 multiplexer module involves assigning specific values to the data input lines and configuring the select lines accordingly. In this case, for the function f(a,b,c)=a′b+ac′, we can follow these steps:

1. Assign the values of the function to the data input lines:

D0 = a′b

D1 = ac′

2. Set the select lines to match the desired output:

S2 = 0

S1 = 0

S0 = 0

By setting the select lines to 000, we ensure that the output of the multiplexer is the value of D0, which represents the term a′b in the Boolean function f(a,b,c)=a′b+ac′.

Utilizing an 8X1 multiplexer module allows us to effectively implement Boolean functions by selecting the appropriate inputs based on the desired output. Understanding how to assign values and configure the select lines is crucial in leveraging the functionality of the multiplexer for Boolean logic operations.