Question

Draw the logic circuit for the following function G using only NOR gates. Assume inverted inputs are available.

G(A,B,C,D)=(C′+AB)D+C

Answer 1

To draw the logic circuit for function G(A,B,C,D)=(C'+AB)D+C using only NOR gates, consider each operation in the function, realize the NOT, AND, and OR gates using configurations of NOR gates, and then assemble them according to the expression. Inverted inputs are assumed to be available for implementation.

Step-by-step explanation:

To draw the logic circuit for the following function G using only NOR gates, first we need to understand the given function:

G(A,B,C,D)=(C'+AB)D+C

Let's break it down step by step:

1. Find the complement of C, which is C'. Since inverted inputs are available, this is straightforward.
2. Find the AND operation of A and B, which is AB.
3. Perform an OR operation with C' and AB. This equates to C'+AB.
4. AND the result with D, to get (C'+AB)D.
5. Finally, OR the result with C, to get the full expression G(A,B,C,D)=(C'+AB)D+C.

Since we only have NOR gates to use, we need to implement the above operations using only NOR gates. Remember that a NOR gate gives the inverse of an OR operation, and any logical operation can be composed in terms of NOR gates.

A NOR gate outputs TRUE only when all inputs are FALSE. To create an OR operation using NOR, we need to invert the outputs of two NOR gates tied to the individual inputs, and then NOR those outputs together. To create an AND operation, we NOR the inputs and then NOR the outputs of those NOR gate.

For the inversion (NOT) using a NOR gate, simply send the same signal into both inputs of the NOR gate. therefore, the circuit will consist of a combination of NOR gates configured in a way to replicate NOT, OR, and AND gates, and then connected as per the steps above.