## Introduction to Number Systems and Decimal to Hexadecimal Conversion

The concept of numbers and numeric systems is an integral part of our lives. Imagine a world without numbers, where counting and measuring do not exist our civilization would come to a grinding halt.

The evolution of numeric systems has been crucial in allowing us to interpret and comprehend numbers better. From the earliest times, we needed number systems to keep track of our belongings, measure distances, and record transactions.

As we evolved, we developed four primary numeric systems: unary, decimal, octal, and hexadecimal. Later, the binary system was introduced to support the digital age.

Each system has a unique way of functioning, which we will explore in this article.

## Evolution of Number Systems

## The Unary System

The unary system is the most primitive number system. It represents the numbers only through a tally mark.

Thus, a number like 5 would be represented as five tally marks. Although this system was not used extensively, it served as an inspiration for advanced numeric systems.

## The Decimal System

The decimal system is the most widely used numeric system today. It consists of ten digits: 0,1,2,3,4,5,6,7,8,9.

The decimal system is based on the value of the digits; the position of the digits is also critical to define a number. In this system, the rightmost digit represents the ones place, followed by the tens, hundreds, and so on.

## The Octal System

The octal system is based on the number 8. It has eight digits: 0,1,2,3,4,5,6,7.

In this system, the rightmost digit represents the ones place, followed by the eights, sixty-fours, and so on.

## The Hexadecimal System

The hexadecimal system is based on the number 16. It has sixteen digits: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F.

The system uses six characters beyond the digits of the decimal system (A-F). In this system, the rightmost digit represents the ones place, followed by the sixteens, two-hundred-and-fiftysix, and so on.

## Importance of Number Conversion in Programming

## Programming and Decimal to Hexadecimal Conversion

The computer only understands the binary language (0’s and 1’s). However, programmers find it cumbersome to write programs in binary.

So, to make things easier, they write programs in decimal or hexadecimal. However, when they execute these programs, they convert them into binary and execute them.

## Decimal to Hexadecimal Conversion using toString() Function in JavaScript

## Working of toString() Function

The toString() function is used to convert a number from its variable format to a string format. This function takes an integer as an argument and returns a string value representing the number.

The toString() function can also take another argument, known as the radix. The radix is the base of the number system that you want to convert to.

It can vary from 2 (binary) to 36(letters and digits). Suppose you want to convert ten to hex, you would use the toString() function with a radix of 16.

## Code Implementation of Decimal to Hexadecimal Conversion

The following code shows the implementation of a dexToHex() function that converts a decimal number to hexadecimal. “`Javascript

function dexToHex(decimal) {

return decimal.toString(16).toUpperCase();

}

“`

Here, the toString(16) function converts the decimal number to hexadecimal, and the toUpperCase() function ensures that the output is in uppercase.

## Conclusion

In conclusion, the concept of numbers is an integral part of our lives, and the evolution of numeric systems has been crucial in interpreting and comprehending numbers better. Decimal to hexadecimal conversion is a common task in programming that can be done quickly using the toString() function in javascript.

Understanding the workings of the toString() function helps programmers convert numbers between different number systems with ease. In this article, we have learned about the evolution of different numeric systems, such as unary, decimal, octal, and hexadecimal.

We also explored the importance of number conversion in programming and how decimal to hexadecimal conversion in programming can be done using the toString() function in JavaScript. It is essential to understand the workings of this function to convert numbers between different numeric systems quickly.

Understanding the fundamentals of numeric systems and conversions is crucial in programming and other areas of life where numbers are involved. Remembering these takeaways can help in interpreting and comprehending numbers better, thereby leading to more efficient and effective problem-solving.