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Some Basic Definitions
Notation: Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. The degree of a polynomial: If a o ? 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and integ..
Boolean Algebra Index
Introduction - The development of Boolean algebra is a more general theory of set theory and mathematical logic. An English mathematician, named George Boole invented this new kind of algebra which analyses logic mathematically. This Boolean algebra provided a bas..
Introduction
The development of Boolean algebra is a more general theory of set theory and mathematical logic. An English mathematician, named George Boole invented this new kind of algebra which analyses logic mathematically. This Boolean algebra provided a basic ..
Logic Gates
The basic building blocks for a complex digital system are known as logic gates. A gate is a simple electronic circuit or device that performs logical functions. It has one or more inputs and one output gate and are also called binary logic gates, as 1 and 0 are the inputs and outputs. W..
Conditional and Biconditional Statements
It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities and their truth table and subsequently we shall learn about condi..
The basic axiom of algebra represented by 10 + (- 10) = 0 is
The basic axiom of algebra represented by 10 + (- 10) = 0 is => Closure property of addition or Identity property of addition or Inverse property of addition or Inverse property of multiplication..
The basic axiom of algebra represented by (5 + 8) + 10 = 5 + (8 + 10) ..
The basic axiom of algebra represented by (5 + 8) + 10 = 5 + (8 + 10) is ____ => associative property of addition or distributive property of addition or commutative property of addition or commutative property of multiplication..
Boolean Algebra
- Boolean Algebra is a Mathematical structure satisfying particular laws. Boolean Algebra provides a basic logic for operations on binary numbers 0, 1. Since computers are based on a binary system, this branch of Mathematics is found to be useful for the internal worki..
The basic axiom of algebra represented by 4 · (14) = 1, is
The basic axiom of algebra represented by 4 · ( 1 4 ) = 1, is => Inverse property of multiplication or Distributive property of multiplication or Identity property of multiplication or Associative property of multiplication..
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