Computer arithmetic is a department of computer engineering, that contracts with methods of representing integers and actual values.

(e.g., fixed- and floating-point numbers)

In digital operations and effective algorithms, for managing such numbers through hardware circuits either software routines.

Computer arithmetic has performed a focal part in the rise of digital computers. A. W. Burkes, H. H. Goldstine, and J. von Neumann, in their 1946 description entitled “Preliminary Discussion of the Logical Design of an Electronic Computing Instrument,” regulate the stage for many inventive schemes.

After longer than half a time, analysis and development are continuing unabated, for even now several of the theoretical underpinnings of the field are now properly recognized.

New application dare must be accepted, and old solution systems must be adapted, to developing technological limitations and opportunities.

Table of Contents

## Basics of Arithmetic

Arithmetic is a fundamental division of Mathematics, that is involved with numbers and their actions.

This subject normally starts by counting the number or numeric system, then arithmetic estimates the important* *works on numbers, such as addition, subtraction, multiplication and division, a third area interests using these operations to fractions* *and* *decimals.

The Fundamental law of number theory was given by Carl Friedrich Gauss in 1801. According to him any integer which is larger than 1, can be defined as the result of prime numbers in only one way.

Arithmetic is a different name given to number theory.

### 4 Basic Operations of Arithmetic

The four basic operations of arithmetic are-:

- Addition (Getting the Sum)
- Subtraction (Getting the difference)
- Multiplication (Getting the product )
- Division (Getting the quotient)

#### Addition

So the first basic arithmetic operation we were discussing is Addition. The addition is the most essential operation of arithmetic.

In its most simplistic form, addition connects two quantities into a separate quantity or sum.

The addition method is denoted by the ‘+’ symbol, it includes mixing two or more numbers into a separate term.

In addition method, the order does not matter. It indicates that the addition method is commutative.

It can require any type of number whether it was a real or complex number, fraction, decimals.

#### Subtraction

The subtraction action allows the variance within two numbers. Subtraction is defined by the (-) symbol.

It is most related to addition but, it is the conjugate of the next term.

It is the opposite process of addition. The addition of the term with the adverse term is known as subtraction.

This method is mostly used to discover how many are left when some things are taken off.

#### Multiplication

Multiplication is known as recited addition, it is denoted by(** **×** **), it also connects with two or more conditions to appear in a single value.

The multiplication method involves multiplicand, multiplier. The consequence of the multiplication regarding multiplicand and the multiplier is called the product.

#### Division

The division is mainly expressed through** **the ‘÷‘ symbol and is the reverse of multiplication. It creates two terms, dividend and divisor, where the dividend is divided through the divisor, to give a single term value.

If the dividend is larger than the divisor, the result achieved is higher than 1, or else it would be smaller than one.