Question

Which of the following is the correct simplification of Boolean expression $A'BC + AC$?
A. $BC + AC$
B. $BC + C$
C. $BC$
D. $A`C$

Answer 1

Hint:A Boolean expression is a programming language expression that produces a Boolean value when evaluated in computer science. True or false is the only way to express a Boolean value. True or false Boolean constants, Boolean-typed variables, Boolean-valued operators, and Boolean-valued functions can all be used in a Boolean statement. Boolean expressions are a subset of Boolean circuits that correspond to propositional formulations in logic.

Complete answer:
Boolean algebra is a branch of algebra in which the variables' values are the truth values true and false, commonly denoted 1 and 0, respectively, in mathematics and mathematical logic.In contrast to elementary algebra, where the variables' values are integers and the major operations are addition and multiplication, Boolean algebra's principal operations are conjunction (and), disjunction (or), and negation (not). In the same manner as elementary algebra explains numerical operations, it is a framework for expressing logical processes.

A logic gate is an idealistic model of computing or a real electronic device that implements a Boolean function, which is a logical operation that creates a single binary output from one or more binary inputs. The phrase may refer to an ideal logic gate, such as one with zero rise time and limitless fan-out, or it may refer to a non-perfect physical device, depending on the context.

A logical statement that is either TRUE or FALSE is referred to as a Boolean expression. As long as both sides of the expression have the same fundamental data type, Boolean expressions may compare data of any kind. Data can be compared to other data to check if it is equal to, greater than, or less than it. The exact simplification of Boolean expression $A'BC + AC=BC$.

Hence option C is correct.

Note: Multiplexers, registers, arithmetic logic units (ALUs), and computer memory are all examples of logic circuits, as are full microprocessors, which can have over 100 million gates. MOSFETs (metal–oxide–semiconductor field-effect transistors) are used to make most gates nowadays. Because the creation of compound logic gates AND-OR-Invert (AOI) and OR-AND-Invert (OAI) using MOSFETs is easier and more efficient than the sum of the individual gates, they are often used in circuit design.