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BOOLEAN ALGEBRA QUESTIONS

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BOOLEAN ALGEBRA QUESTIONS.

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TRUTH ABOUT NUMBER SYSTEMS.

Number Systems Mathematical notation/symbols for representing values (numbers). In different systems, different symbols are used. Positional Number System We are used to dealing with numbers in the decimal system. This is probably a result of having ten fingers. It is a is a positional number system. Roman number system is not such a system. The position of the symbol denotes the magnitude. A positional number system uses a base (aka radix ). A number system with base 𝑏 is a system that uses distinct symbols for 𝑏 digits. The most common base used in everyday activities is 10 (Decimal System). Different bases are used in other situations. The base can be written as a subscript to the number for easy identification. 4 types of positional number systems are discussed. • Decimal (Base = 10, {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}). • Binary (Base = 2, {0, 1}). • Octal (Base = 8, {0, 1, 2, 3, 4, 5, 6, 7, 8})

BOOLEAN ALGEBRA FOR BEGINNERS.

Boolean Algebra A variable used in an algebraic formula so far, is assumed to take a set of numerical values. All variables in Boolean equations can take only one of two possible values. Used symbols for the two values are 0 and 1. Rules first defined for logic by George Boole (1854), were adapted for the use in designing electronic circuits. The circuits in computers and other electronic devices have inputs, each of which is either a 0 or a 1. One major advantage in using these rules is to simplify an electronic circuit. Boolean algebra provides the operations and the rules for working with Boolean variables. Three (3) Boolean operators are discussed. • Complement • Boolean sum • Boolean product Ten (10) rules are also discussed (aka Boolean Identities). 06/02/2017 Boolean Operators Complement Defined as the opposite of the value that a Boolean variable takes. D

LOGIC GATES ARE HEAVEN GATES OF IT.

Logic Gates A computer, or other electronic device, is made up of a number of circuits. The components in a logical circuit takes 0 and 1 as inputs. 1 is the state where there is a voltage on the input and 0 is the state where there is no voltage on the input. Therefore, Boolean algebra is used to model the circuitry in electronic devices. The absence of a voltage is usually denoted as 0 (zero) and the presence of a voltage is denoted by 1 (one). As mentioned earlier, concepts of Boolean algebra can be used to simplify logical circuitry. There are a set of components that matches the Boolean operators discussed earlier. These components are called Logic Gates. Basic Logic Gates (NOT Gate) Complement → NOT Gate. Also known as inverter or complementer . Consists of a single input and a single output. As in the complement, the input gets inverted. Basic Logic Gates (OR Gate) Boolea

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BOOLEAN ALGEBRA QUESTIONS

BOOLEAN ALGEBRA QUESTIONS.

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