Question

Boolean algebra is also called.

Answer 1

Hint: We answer this question by explaining what Boolean algebra is and how it is useful for solving problems. Then we also address the different types in the Boolean algebra and specify its other names.

Complete step-by-step solution:
In order to answer this question, let us first try to understand the concept of Boolean algebra. It is a method of dealing with binary data in mathematics. Binary data means 0 and 1 only. Binary values have only one of the two possible values at any point of time. It also means that 1 represents true and 0 represents false in the Boolean algebra. Boolean algebra is mainly used for the representation of digital circuits in digital electronics as a practical implementation. It also consists of different laws called Boolean laws useful for simplifying results.
Let us now explain a few rules in the Boolean algebra.
The complement of a variable is represented as $\overline{1}$ or $\overline{0}.$ It is represented with a bar over the value. An important concept here is that the complement of 1 is 0 and the complement of 0 is 1.
$\Rightarrow \overline{1}=0$
$\Rightarrow \overline{0}=1$
We also have two more concepts called Logical OR and Logical AND. Logical OR represents the addition of the binary bits whereas Logical AND represents the product of all the bits.
Now, since this Boolean algebra is based on logical operations and keeps switching between the two values of 0 and 1 based on the operation, it is also known as logical algebra or switching algebra.
Hence, Boolean algebra is also called switching algebra.

Note: Boolean algebra represents the logic of a digital circuit. It is an important concept for understanding and implementing digital circuits and its components such as logical gates which are AND, OR, NOT, etc. Knowledge of this is very useful for solving many mathematical problems too.