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Boolean algebra doesn't exactly work with numbers. It defines operations on a set that contains only two elements, commonly called "true" and "false", or alternately "1" and "0".
Through Boolean algebra simplification, a Boolean expression is translated to another form with less number of terms and operations. A logic circuit for the simplified Boolean expression performs the identical function with fewer logic components as compared to its original form.
The difference between two numbers is the smaller number subtracted from the larger. This is the absolute value of the first number minus the second number. However, sometimes the term is used for the signed subtraction.
Subject-wise: C, C++, DBMS, Networking, Number Systems, Boolean Algebra, Logic Gates.
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.
The two CANONICAL FORMS of Boolean algebra are basic forms that one obtains from reading a function from the truth table. These forms are very seldom the ones with the least number of literals, because each minterm or maxterm must contain, by definition, all the variables either complemented or true form.Another way to express Boolean functions is in STANDARD FORM. In this configuration, the terms that form the function may contain one, two, or any number of literals.- Digital Design by Mano
The number of results you can get from a Boolean is two. You can either have a statement be true or false. this is because Boolean data is the result of conditional statements, which can be either true or false.
When you have an ordered pair it is the second number.Example-(-3,7)7 is the range.ORIt is the difference between the largest and smallest number in a set of data.Example-2,5,9,1,39-1= 8the range would be 8.______________________________________________________________A collection of all output values.(algebra)
George Boole saw logic as a discipline of mathematics, not as a philosophy. He authored The Laws of Thought and is the inventor of Boolean Logic. Boolean logic was later used in the development of the structure for computer science and how the digital computer came to be formed. Boolean Logic is different from Algebra because it uses true and false variables as opposed to number variables.