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Showing posts with the label THEORITICAL ALGEBRA

ARITHMETIC CALCULATION IN COMPUTERS

ARITHMETIC OPERATION AND CONVERSION DONE BY COMPUTER
As we have seen in previous post that arithmetic computation is an important thing in calculation, if a person doesn’t know arithmetic computations,he will be doomed to be in trouble during calculations that happensin everyday life.So it is necessary to learn arithmetic computation.So in this post I am going to take one step further.I am going to write about octal and hexadecimal numbers.
Now let us discuss some arithmetic conversion.Let us see what is octal and hexadecimal numbers used by digital computer.
The conversion from and to binary, octal and hexadecimal plays an important part in digital computers.Since 23 = 8 and 24 = 16 each octal digit corresponds to three binary digits and each four binary digit corresponds to one hexadecimal digit.
The conversion of from binary to octal is easily accomplished by partitioning the binary into group of three digit each, starting from binary point and preceding to the left or to the right…

IS DIGITAL COMPUTERS ARE VALUABLE?

DIGITAL COMPUTERS
Today computers are used extensively in every day life.  It is used in basic as well as industrial, scientific and commercial purposes.  Our space program would not have been well developed without the real time monitoring of the machine of the spacecraft which was going to land on moon or any other planet of the scheduled program or launching of satellites on the orbit of earth. This is the scientific purpose i told you about while it has commercial purposes.  Like automatic data processing which the business enterprise uses.
It has many works in educational purposes for example multiple choice question answers can be checked without any error and then the results can be printed out automatically with the help of the printer which is connected to the digital computer.
  Digital computer are also used in air traffic control to control the aviation industry to help them control the planes by sending them data about the distance between the planes and the ground as well a…

LOGIC OF COMPUTERS

LOGIC OF COMPUTER IN PAPER AS WELL AS PRACTICAL USE



We always use logic in every day matters, so do the machines.But we were taught by experiences we count and the people we trust and these things matters most because it will help in dark times.But to make the machine understand the logic is very hefty work. But this is certainly not impossible.In order to understand logic we use integrated circuits.But to do this we need to design the integrated circuits on paper.This requires certain rules of algebra.This I am going talk about the rule of an algebra called the duality principal.
It states that every algebraic expression deducible from the postulates of Boolean algebra remains valid if the operators and identity elements are interchanged.In a two value Boolean algebra, the identity elements and the elements of the set B are same 1 and 0.The duality principal has many applications.If the dual of an algebraic expression is desired, we simply interchange OR and AND operators and replace…

THEORITICAL ALGEBRA IN COMPUTERS

ALGEBRA IN COMPUTERS

Algebra is a subject in which the problem of the sum is solved with the help of letters (I mean the letters of English language as well as Greek language).  It is mostly used by the mathematicians, engineers, scientist as well as businessmen to solve any problem of the world.  Algebra is very important in many science as well as commerce studies.  So we are going to dig deep in algebra used in computers. We will consider Boolean algebra as it is used by the computers to solve real life problems.  So let us begin.
Boolean algebra, like any othermathematical system , may be with a set of elements , a set of operators and a number of unproved axioms or postulates.    A set of elements is any collection of objects having a common property.  If S is a set and x is an element of that set the x€ S denotes that x is an element of that set.   A set with de-numberable (means a small number) number of elements is specified by braces:  A={1, 2, 3, 4} that is the element of set ar…