Fundamentals of Electrical and Electronic Engineering

Fundamentals of Electrical and Electronic
Engineering
Digital Electronics Laboratory Assignment
Submitted By:-

Abstract:
The assignment deals with understanding the logic functions
and Boolean algebra. Methods to solve Boolean equations and
map them to logic gates.
Theory:
Based on three basic logic functions, the advanced functions
can be built from variables to solve a given problem. The same
function may be achieved by more than one Boolean equation
which might not be same. This is called logical equivalence. The
circuits designed for both these equations will give same output
value for same input value applied to both of them. This can be
shown with the help of truth tables or Boolean algebra.
Some equations can be minimized to give same results with
less number of operations. The output would be the same as for
original equation but using less gates. This is achieved by
ignoring the redundant variable in a given term.
Contents
Q1.
Inputs Outputs
A B Circuit 1 Circuit 2
0 0 1 1
0 1 1 1
1 0 1 1
1 1 0 0
Both circuits behave the same way like a NAND gate that has
high output all the times apart from condition when all inputs
are 1 when it gives a low output value.

Q2.
A. X = (A+B)!.C
B. Y = AB`C + A`D + CD`
C. Z = ((AB) + (C + D)`)`