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The circuitry that makes up the inner workings of a computer comes from transistor type circuits. These transistor circuits are configured to have only two states. For example, their output voltage might be either 5 volts or 0 volts. Because there are only two output states possible, it's very convenient to use Boolean logic to design these circuits since you can represent each state by a one(1) or zero(0), a 'Yes' or 'No', or a 'True' or 'False,' thereby able to easily exploit the Boolean operators.

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Q: Why is Boolean algebra used in computer systems?
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Related questions

What are the importance of boolean algebra?

Boolean algebra is an area of algebra in which variables are replaced with 1 or 0 to indicate true or false. This form of algebra became the basis for binary computer programming used in digital electronic development.


What is the mathematical system used to express analyze and design digital circuits?

Boolean algebra.


What is a boolen algebra?

Boolean algebra is a mathematical structure that deals with binary variables and logic operations. It is used to represent and manipulate logical expressions and truth values. Boolean algebra is especially important in computer science and digital logic design, where it is used for constructing circuits, Boolean functions, and making logical decisions.


What numbers are used in Boolean algebra?

Boolean algebra uses the numbers 0 and 1 to represent statements which are False and True respectively.


Why do you think that the word algebra is in the phrase Boolean Algebra?

Although it is more logical and closer to science than maths, boolean algebra can be used with normal algebra on planes, and it uses variables.


What is bullion algebra?

A friend used this phrase. I think she meant Boolean Algebra.


Was anybody involved in the Boolean algebra?

George Boole, the creator of Boolean Algebra, the creators of computers, and all of us that have even once used computers; computers use Boolean Algebra for truth values, making logic circuits.


What is the name of algebra that deals with logical propositions which are either true or false?

The name of algebra that deals with logical propositions which are either true or false is Boolean algebra. It was developed by mathematician George Boole and is widely used in computer science and digital electronics for designing and analyzing logic circuits.


Why do you need to express logic functions using Boolean descriptions?

Boolean algebra is a mathematical method used to describe the behavior and operation of digital logic. Boolean descriptions and relationships can help us design logic and predict the behavior of more complex digital systems.


What type of algebra is used to design logic gates such as and nand or not and nor?

Boolean


What kind of math is used in circuitry?

Boolean algebra figures heavily in circuit design.


Why in computer or in any other digital circuit design the help of boolean algebra is used?

Boolean algebra is used in logic circuits. Using And, Nor, Xor and Nand gates to determine the state of an output, dependant on the condition of various inputs. Or, if you like, to make a fixed decision based on the inputs. When designing a logic circuit, it is easy to get confused by too many steps in the process to get the answer that you want. By using Boolean algebra, the steps can be rationalised and reduce to the minimum number of steps, before committing to a finished physical circuit.