Answer:
a. May reduce the number of gates required.
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:
[tex]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)[/tex]
