Question

Design a circuit that counts the number of 0 's present in 4 inputs A, B, C and D. Its output is a multi-bit, representing that count in binary. For example, 0101 has two zeros and therefore the output should be a binary representing 2. a. Write the truth table for this circuit. b. Find the minimized logic equations in SOP and POS for each output c. Draw the corresponding all NAND and all NOR gates logic diagram for this circuit. Label all inputs and outputs.

Answer 1

To design a circuit that counts the number of 0's present in the 4 inputs A, B, C, and D, follow these steps: write the truth table, derive the minimized logic equations, and draw the logic diagrams.

Step-by-step explanation:

To design a circuit that counts the number of 0's present in the 4 inputs A, B, C, and D, you can use a combination of logic gates. The circuit's output should be a multi-bit representation of the count in binary. Here are the steps to design the circuit:

1. Write the truth table for the circuit: A, B, C, D as inputs and the count as the output.
2. Using the truth table, derive the minimized logic equations in SOP (Sum of Products) and POS (Product of Sums) forms for each output bit.
3. Draw the corresponding logic diagrams using all NAND gates and all NOR gates. Label all inputs and outputs as required.