Question

Arrange the steps in the correct order to solve a Boolean equation.

A) OR, NOT, AND, Brackets
B) AND, OR, Brackets, NOT
C) NOT, AND, OR, Brackets
D) Brackets, OR, AND, NOT

Answer 1

In Boolean algebra, the correct operator precedence for solving an equation is Brackets, NOT, AND, OR, which corresponds to option D in the question.

Step-by-step explanation:

To solve a Boolean equation, it is essential to follow the correct order of operations, which is known as operator precedence. In Boolean algebra, the correct order of operations is: first, evaluate expressions inside Brackets; second, apply the NOT operator to negate values; third, perform all AND operations; and finally, conduct all OR operations.

The proper order would be represented as D) Brackets, NOT, AND, OR. This is because Boolean algebra follows a similar precedence to that of arithmetic operations in regular algebra, in which brackets (parentheses) are computed first, followed by the unary NOT operator, then the binary AND operator, and lastly the binary OR operator.

Using this order of operations ensures that Boolean expressions are simplified correctly, which can be especially important in fields like computer science and electrical engineering, where Boolean logic is fundamental for designing circuits and writing algorithms.