Ece 422- construct the truth table for a full subtractor

Question

Assignment

1. Using 3/8 binary decoder and the necessary gate, implement the following function:

f(A,B,C,D) = P₀ + P₂ + P₃ + P₆

2. Using 8/3 binary encoder and necessary gates, design and implement the 8/3 priority encoder shown below:

3. Using the 8/3 priority encoder shown above and OR gates, show how to build a 16/4 priority encoder

4. Using 2/4 binary decoders and the minimum number of gates, construct the following:

a) 3/8 binary decoder.
b) 4/16 binary decoder.

5. a) Construct the truth table for a full subtractor circuit.

b) Two 4-bit data inputs multiplexers are used to realize a full subtractor. One is used to generate the difference output Di, while the other is used to generate the output borrow B_i+1 as shown below. What are the data inputs to each one of these multiplexers to realize its function.