Question

Design and implement this function by using a 8-to-1 multiplexer

(74LS151):

F(A, B, C, D) = ∑m(0, 1, 2, 4, 5, 6, 7)

please give me a detailed netlist

Answer 1

The 8-to-1 multiplexer (74LS151) is wired with A, B, and C as the select inputs, and input lines connected to logic '1' or '0' based on the function F(A, B, C, D) = ∑m(0, 1, 2, 4, 5, 6, 7), to implement the desired function.

Step-by-step explanation:

The student has asked to design and implement a function using an 8-to-1 multiplexer (74LS151) with the given function F(A, B, C, D) = ∑m(0, 1, 2, 4, 5, 6, 7). A multiplexer is a digital switch which selects one of the many input signals and directs it to a single output line based on the select lines.

Netlist Steps:

1. Use A, B, and C as the select inputs for the multiplexer. D will not be used as a select line since it does not alter the output based on the listed minterms.
2. Connect the inputs of the multiplexer as follows, based on the given minterm values where the output is '1':
   • Input 0 (I0) - Connect to Logic 1
   • Input 1 (I1) - Connect to Logic 1
   • Input 2 (I2) - Connect to Logic 1
   • Input 3 (I3) - Connect to Logic 0
   • Input 4 (I4) - Connect to Logic 1
   • Input 5 (I5) - Connect to Logic 1
   • Input 6 (I6) - Connect to Logic 1
   • Input 7 (I7) - Connect to Logic 1
3. Connect the output of the multiplexer to the function output F.

By following these steps, the 8-to-1 multiplexer will implement the desired function.