Question

 Multiplexer Example

 Implement the following Boolean function using a 4x1 Mux; 

   F(x,y,z) = Σ (1,2,6,7)

 Decoder Example

 Implement the following functions for a full adder using decoder;

 S(x,y,z) = Σ (1,2,4,7)

 C(x,y,z) = Σ (3,5,6,7)

 Implement the following Boolean function;

 F(x,y,z) = Σ (0,2,3,7): Using;

 1. Two 2x4 decoders and logic gates

 2. One 4x1 multiplexer

 Decoder

 . Draw the truth table for the function to be implemented.

 . Pick the terms for output.

 . Derive appropriate logic to combine terms.

 . Use two 2x4 decoders to make one3x8 decoder.

 . Pay attention to fact that decoders have active low outputs.

 . Build your circuit and test it.

 . Demonstrate the operation of the circuit to your instructor.

 Multiplexer

 . From the truth table in decoder section, pick out the terms needed for

 output.

 . Use select and input lines of multiplexer to connect appropriate logic.

 . Build your circuit and test it.

 . Demonstrate the operation of the circuit to your instructor.

Answer 1