The Number System: Automatic Algebraic Solutions is a research text which first introduces new and high quality solutions to easily understand and rapidly solve various verities of problems of Mathematics and Computer Science.

The new methods in this text are must required implement in all level mathematics and computer education in order to provide TRUE and HIGHQUALITY SOLUTIONS.

Presently students are studying foundationless and very poor quality terror methods and still continuing these methods in the syllabus is nothing but cheating students and country.

A new analysis known as Raghavendra’s Analysis is introduced to mathematics from this text, which is the one and only True method to derive formulas to find important series like sum of Geometric Progression, sums of first n natural numbers, squares, cubes, etc. Teaching these derivations for students other than Raghavendra’s Analysis is a nothing but Big Mistake and 100% wrong decision.

The reason is that Raghavendra’s Analysis provides an automatic algebraic solution which includes very simple calculations which can be thought easily thought to elementary level students also. Just using one method, we can solve several verities of problems using Raghavendra’a Analysis. These solutions are also greatly useful in solving several other important calculations also.

To get license to implement the new methods in the syllabus contact us through mail or by phone.

But to derive same problems using other normal methods (the methods which are in the curriculum worldwide), it requires very complex calculations, several nonsense tricks and several blind methods. These solutions are difficult to remember and normally students will forgot these use and through methods.

So adding Raghavendra’s Analysis in all levels of education, i.e, primary, high school, Higher secondary and in universities for higher education students will make great magic in the result.

Number System Conversion methods thought to students many times in different level of education, but nowhere did not teach how these methods derived. This means students just by hearting these methods to do calculations and don’t know about why to do these steps and how these methods derived. But, Raghavendra’s Analysis which is used to invent formulas and solve problems related to series also derives several fastest and new number system conversion methods just by using simple calculations on few binary or any base numbers.

The research book contains world’s fastest number system conversion methods to convert any number to any base. It also contains easy methods for binary, octal, etc. arithmetic operations.

Following methods are must required to implement in the syllabus to give REAL and HIGH QUALITY education for students and to save students from blind and low standard mathematics which mainly helps only wasting papers. Just a one hour of Raghavendra’s Analysis learning to any level students makes a BIG magic in student’s life.

1] **Derive formulas for the following series using Raghavendra’a Analysis**

a + ar + ar^{2 }+ ar^{3} + ...+ ar^{n-1} Geometric Series

1 + 2 + 3 + . . . + n Sum of Fisrt N Natural Numbers

1^{2} + 2^{2} + 3^{2} + . . . + n^{2} Sum Of First N Squares

1^{3} + 2^{3} + 3^{3} + . . . + n^{3}^{ }Sum Of First N cubes , etc.

There is no other choice than Raghavedra’s Analysis (to thought derivations for above series said series) except cheating students by teaching answer getting several difficult tricks as Real mathematics. If just these derivations thought to students other than Raghavendra’s Analysis, it will be resulted in Big Loss to country and students.

2] **Number system conversions methods derivation using Raghavendra’s Analysis.**

It is only thought how to convert numbers from one base to another, but no thought how these conversion methods derived. The number system conversions methods are repeating several times in different levels of educations and derivations are not known, which is nothing but a foundationless education.

But Raghavendra’s Analsysis which is used to rapidly and automatically derive formulas for finding sums of different types of series is also succeeded in inventing world’s fastest number system conversion methods, binary octal, etc. arithmetic operations and invention of Decimal Coded Binary (DCB) number system and Hetero base arithmetic operations.

Raghavendra’s Analysis shows how to invent (Derive) several new and fastest methods for number system conversions just taking some ten numbers and doing Raghavendra’s Analysis on it.

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**3] Raghavendra’s Methods For Division**

The Number System Book contains new methods to rapidly do division and also a formula to develop fast division methods for division. Implementing these methods are greatly helpful in creating interests in division and invention and helps to do calculations faster. The book contains world’s easiest and fastest new division methods which are invented by author Raghavendra Lingayya.

**4] Decimal Coded Binary (DCB) and D-DCB conversion formula**

The Decimal Coded Binary number system is the new number system introduced to mathematics by author Raghavendra Lingayya. It has lots of advantages in several types of calculations including in rapidly converting decimal numbers to binary, binary arithmetic operations, hetero base arithmetic operations (NEW), rapidly finding sum of Geometric Progression without using the formula, etc.

**D-DCB conversion formula**

Decimal To Decimal Coded Binary (D-DCB) conversion formula is a formula that directly convert decimal number to Decimal Coded Binary. D-DCB conversion formula is the world’s fastest formula to convert decimal number to binary, octal, hexadecimal, etc.

**5] Add method**

Add Method is a new unique method invented by Raghavendra Lingayya . It is very easy method and used to do binary addition, subtraction, multiplication, division; converting DCB numbers to binary, Hetero base arithmetic operations, converting decimal numbers to binary using normal calculators, doing binary arithmetic in normal calculators, etc.

Below problems are solved using add method (The add method is easy for even a class 1 student)

Binary Addition,

Binary Subtraction

Addition of two base x digits

Binary Multiplication

Quick conversion of decimal number to binary

Hetero Base Addition

Hetero Base Multiplication

Addition/multiplication of different base numbers

Sum of Geometric progression in Binary, Octal, etc.

Binary subtraction

Hetero Base Subtraction

Binary Division

Number System conversions and arithmetic operations in normal calculator

To do the same all the above calculations other than Add method, it requires learning several methods and even after learning several methods it is not possible to do all the calculations which is possible in just one method, i.e., Add method.

**6] Quotient method**

The quotient method is a the fastest method for converting hexadecimal, octal, etc. numbers to decimal equivalent. It is the new conversion method invented by Raghavendra Lingayya. The Quotient method was developed using Raghavendra’s Analysis.

**Below are the advantages of Quotient method over other methods**

The fastest way to convert binary, octal, hexadecimal etc. numbers to decimal equivalent.

Also converts decimal number to binary, octal, etc, including negative decimal number; but normal methods fails in directly converting numbers.

Useful for Multi Base conversions, but usual methods fails in multi base conversions.

Useful for easy and quick binary, octal, etc. arithmetic operations

Finding sum of Geometric progression with fewer calculations without using formula; but usual method requires complete calculations

Very useful for computer programs as it converts decimal numbers to other base and vice versa including negative numbers in just one method.

**7] Difference method**

Difference method is another new and fast conversion method useful for rapidly converting any base number to decimal equivalent. The method is invented by Raghavendra Lingayya using Raghavendra’s Analysis.

**8] Quotient Difference method**

Quotient Difference method is another rapid conversion method useful for rapidly converting any base number to decimal equivalent and also useful for several other important calculations.

**Etc. **

**Contact Author** to get license to implement new methods in the curriculum.