Question

Implement the following functions with two-level NAND gate circuits:

a. F(A,B,C,D)=A′B′C+A′BC+ABC
b. F(A,B,C,D)=A′CD′+A′BD+ABD+A′CD

Answer 1

To implement the given functions with two-level NAND gate circuits, we need to break down the functions into smaller sub-functions and then combine them using NAND gates.

Step-by-step explanation:

To implement the given functions using two-level NAND gate circuits, we need to break down the functions into smaller sub-functions and then combine them using NAND gates. Let's start with function (a):

F(A,B,C,D)=A'BC+A'BC+ABC

First, let's find the complement of A, which is denoted as A'. Then for the sub-functions, we can implement A'BC, A'BC, and ABC using NAND gates. Finally, we can combine these sub-functions using NAND gates to obtain the function F.

Similarly, we can follow the same steps to implement function (b):

F(A,B,C,D)=A'CD'+A'BD+ABD+A'CD

Break down the function into sub-functions, implement them using NAND gates, and finally combine them using NAND gates to get the function F.