Binary to Hex Converter

What Is the Binary Number System?

The binary number system uses only two digits, 0 and 1. It is also called base 2. Each digit represents a power of 2. Computers use binary to store and process digital data, such as instructions, numbers, and other digital information.

What Is Hexadecimal?

Hexadecimal is a base 16 number system. It uses 16 symbols, from 0 to 9 and A to F. One hexadecimal digit represents four binary bits, so hex gives a shorter way to write binary values used in programming and computer data. Students use hex when learning number systems.

How to Convert Binary to Hex Manually

Binary converts to hex by grouping bits in sets of four. Each group matches one hexadecimal digit. This works because hexadecimal uses base 16, and $16 = 2^4$.

Formula:

$16 = 2^4$

Step by step Guide:

1. Start from the right and split the binary number into groups of four.
2. Add leading zeros to the left group when needed.
3. Match each group with the conversion table.
4. Join the matching hex digits.

Practical Example:

Convert $10110110_2$ to hex.

$1011\ 0110 \rightarrow B\ 6$

So, $10110110_2 = B6_{16}$.

Binary to Hex conversion table

Note: Add leading zeros when needed so the leftmost binary group has four digits. Then match each four bit group with one hexadecimal digit.

Implementing Conversion in Code

You can convert binary to hexadecimal with common programming languages. These examples show simple methods for working with binary values.

Python

```
binary = "10110110"
hex_value = format(int(binary, 2), "X")

print(hex_value)
```

This code returns B6.

C

```
#include <stdio.h>
#include <stdlib.h>

int main(void) {
const char *binary = "10110110";
unsigned long value = strtoul(binary, NULL, 2);

printf("%lX\n", value);
return 0;
}
```

This code converts the binary value into a hexadecimal result.

Java

```
public class Main {
public static void main(String[] args) {
String binary = "10110110";
int value = Integer.parseInt(binary, 2);

System.out.println(Integer.toHexString(value).toUpperCase());
}
}
```

The result is B6.

JavaScript

```
const binary = "10110110";
const value = BigInt("0b" + binary);

console.log(value.toString(16).toUpperCase());
```

The result is B6.