# How to convert the binary into hexadecimal

## Introduction

This article will discuss what is __Binary__ to Hex Converter is. This is one of the easiest topics that we are going to cover. The number system also has a Binary to Hex Converter. The four number systems used in math are __binary__, __octal__, __decimal__, and Hexa-decimal. Each form may be changed to the alternative number system using the conversion table. Now we move ahead into Binary to Hex Converter.

To better understand, let's look at the methods for changing binary numbers to Hexa-decimal ones. This is one of the easiest topics that we are going to cover. This is one of the easiest topics we will explore. Now we move forward into Binary to Hex Converter.

## Binary to Hex Converter

Convert binary numbers into Hexa-decimal ( 0, 1, 2, 3, 4, 5, 6, 7, 8 and A to F) values are known as Binary to Hex Converter. Hexa-decimal has a base number of 16. At the same time, binary digits have a base number of 2. With the help of the base numbers, the binary is converted to Hexa-decimal. There are ways to complete the conversion. The first is changing the binary representation into a decimal number and then a Hexa-decimal number.

The second method involves using a table. That converts binary to Hexa-decimal. Before we discuss the conversion process, let's define binary and Hexa-decimal. Don't you feel like it is easy?

## System of Binary Numbers

To understand how to create a Binary to Hex Converter. We have to understand the binary number system. One of the most east number systems is the binary system, which uses the digits 0 and 1, and the base number is 2. Computers that are mainly useful for engineers, networking experts, and computer professionals typically use binary numbers. A byte has 8 bits, represented by the numerals 0 and 1. The binary number system excludes other numbers like 2, 3, 4, and so on. Don't you feel like it is easy?

**The binary number system's examples of numbers include**

## The System of Hexa-decimal Numbers.

To understand how to create a Binary to Hex Converter. We must understand the Hexa-decimal number system. The base number for the Hexa-decimal number system is 16. While the other sixteen digits or alphabets are A, B, C, D, E, and F, and 0, 1, 2, 3, 4, 5, 6, 7, 8. Here, the decimal numbers 10-15 are represented by the Hexa-decimal letters A via F. The base is defined by each digit in the Hexa-decimal number system ( 0,1, 2, 3, 4, 5, 6, 7,8 and A to F). For example: In the Hexa-decimal number system, some instances of numbers include.

## Hexa-decimal to Binary Conversion Using a Table

Using the table is one of the simplest and quickest ways to get from binary to Hexa-decimal. Since Hexa-decimal numbers are also positional number systems ( 0,1, 2, 3, 4, 5, 6, 7, 8 and A to F). Binary numbers only include the digits 0 and 1. Every four bits are equal to one Hexa-decimal number. Which also consists of the letters A to F. After the below table we will focus of the Binary to Hex Converter. Don't you feel like it is easy?

**The following is the conversion table:**

## Approach for Binary to Hex Converter

- Start by entering a binary number.

- Split the binary number into 4-bit groups. Add each bit in turn after multiplying it by the power of 2 for each set of four bits.

- To get the output, combine the results of all groups.

## Algorithm for Binary to Hex Converter

- Enter a binary number into the variable value of binary as the input.

- Split the input integer by 10 to get the remainder and quotient.

- Increase the variable value of Hexa-decimal ( 0, 1, 2, 3, 4, 5, 6, 7, 8 and A to F) by multiplying the received remainder by variable i.

- Increase the variable i by two. And replace the value of binary with the resulting quotient.

- Continue doing steps 2-4 until the value of the binary variable is zero. And you will get the result.

**Don't you feel like it is easy?**

## Implementation in C of Binary to Hex Converter

```
/*
* Here is the C program's source code for Binary to Hex Converter.
*/
#include <stdio.h>
int main()
{
long int value_of_binary, value_of_Hexa-decimal = 0, i = 1, remainder;
printf("Enter the binary number: ");
scanf("%ld", &value_of_binary);
while (value_of_binary != 0)
{
remainder = value_of_binary % 10;
value_of_Hexa-decimal = value_of_Hexa-decimal + remainder * i;
i = i * 2;
value_of_binary = value_of_binary / 10;
}
printf("Hexa-decimal value: %lX", value_of_Hexa-decimal);
return 0;
}
/*
I hope you have understood the concept and it is now easier for you.
*/
```

### Time Complexity

**O(N)**: Where N is the number of binary digits.

* Reason:* As in the program Binary to Hex Converter, the while loop divides the input integer by 10 to get the remainder and quotient, traversing every digit.

### Space complexity

**O(1)**: We just need a variable in the program Binary to Hex Converter.

* Reason:* We are not creating any array or linked list in the programme Binary to Hex Converter. Everything is getting stored in a variable. So space complexity is O(1).

## Frequently Asked Questions

**Are computers Hexa-decimal-based?**

Many computing apps use hex codes to condense binary codes. It is hard to remember that humans use Hexa-decimal to change binary into a simpler form. Because computers do not use it. To use Hexa-decimal on computers, binary is changed.

**How many bytes are there in four Hexa-decimal digits?**

A single digit in Hexa-decimal notation means four bits. Since there are only ten distinct decimal digits (0 to 9), 4 bits only allow for 16 mixtures. There is surely a problem.

**What does the hex code 0x mean?**

"0x" serves as the Hexa-decimal prefix. We only use the digits 0 to 9 to describe the numbers. We use the letters A–F to explain the numbers 10-15.

**Is binary still allowed by computers?**

In the CPU, binary code still takes the form of digital ones and zeroes. A physical part is like a CPU which can store and calculate millions of binary digits. And may switch on or off an electrical signal to represent a digital one or zero.

**How does the hex format work?**

A base 16 system called Hexa-decimal represents binary data more simply. Any of the following 16 digits can be a hex digit: A, B, C, D, E, F, 0, 1, 2, 3, 4, 5, 6, 7, 8. A 4-bit binary sequence may be seen in each hex digit.

## Conclusion

This blog covered __Binary__ to Hex Converter, basically converting binary numbers to Hexa-decimal numbers. I hope you have understood the concept and it is now easier for you. Want to explore the same related topic? Check this __Decimal to Binary in C__.

Do check out our blogs on __object-oriented programming__ and __data structures__.

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