Multiplexers and De-Multiplexers (PHC504)

Homework Problems

1. Explain the working of a multiplexer. What are its uses?
2. Discuss the method of implementing the Boolean expressions using Multiplexers.
3. Implement a full subtractor circuit using MUXs.
4. How can two 8:1 MUXs be cascaded to use it a 16:1 MUX?
5. What is a Demultiplexer? Draw the logic circuit of 1: 4 demultiplexer and discuss it working.
6. Realize the following function of four variables using 8:1 MUXs.

• (i) \(F_{1}(A, B, C, D) = \sum (0, 2, 4, 6, 7, 13, 15)\)
• (ii) \(F_{2}(A, B, C, D) = \sum (0, 1, 3, 4, 5, 8, 9, 10, 14, 15)\)
• (iii) \(F_{3}(A, B, C, D) = \sum (0, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15)\)
• (iv) \(F_{4}(A, B, C, D) = \sum (0, 1, 2, 3, 5, 8, 9, 12, 13, 14, 15)\)