Question

What is the primary motivation for using Boolean algebra to simplify logic expressions?

a. May reduce the number of gates required.
b. All of these are correct.
c. May make it easier to understand the circuit.
d. May reduce the number of gates.

Answer 1

a. May reduce the number of gates required.

Step-by-step explanation:

Boolean algebra is a method of simplifying logic circuits in digital electronics.

It was invented in 1854 by the English mathematician George Boole. By using Boolean theorems and laws, we can simplify Boolean expressions, by which we can reduce the required number of logic gates to implement. Below are some fundamental laws:

`A+0=A\\A+1=1\\A+A=A\\A+\overline{\rm A} =1\\A\bullet0=0\\A\bullet 1=A\\A\bullet A=A\\A\bullet \overline{\rm A} =0\\A+B=B+A\\A\bullet B=B\bullet A\\(A+B)+C=A+(B+C)\\(A\bullet B)\bullet C=A\bullet (B\bullet C)\\A\bullet (B+C)=(A\bullet B)+ (A\bullet C)\\A+(B\bullet C)=(A+B)\bullet (A+C)`