convertBinaryToHexadecimal()

Step 1: Understand the concept

First, you should know what binary and hexadecimal are. Binary is a base-2 system used by digital electronic devices to represent text, numeric and computer processor instructions. Each binary digit is referred to as a bit. Hexadecimal, on the other hand, is a base-16 system. It's used in the digital world to reduce large binary and decimal numbers into a smaller, more manageable system.

You should also know that a hexadecimal digit can represent four binary digits, which is why converting from binary to hexadecimal is quite straightforward.

Now, let's move on to the implementation part.

Step 2: Start Creating the Function

Let's start by creating a function that will accept a binary number as an input:

function convertBinaryToHexadecimal(binary) {

}

Step 3: Convert Binary to Decimal

The binary number would first be converted to a decimal number before converting to hexadecimal. To convert from binary to decimal, every digit in the binary number is read from the least significant bit (right) to the most significant bit (left), multiplying each digit by two raised to the appropriate power, and summing it up. JavaScript's parseInt function does this efficiently:

 function convertBinaryToHexadecimal(binary) {
     var decimal = parseInt(binary, 2);
 }

The '2' in the parenthesis informs Javascript that the incoming input string will be in base-2 (binary).

Step 4: Convert Decimal to Hexadecimal

After converting the binary number to decimal, the next step is to convert the decimal to a hexadecimal. To convert a decimal into a hexadecimal number, divide the decimal number by 16 and keep the remainder. Continue this process until the decimal number is zero. The hexadecimal number will then be the remainders, in reverse order. JavaScript's toString function can do this conversion:

 function convertBinaryToHexadecimal(binary) {
     var decimal = parseInt(binary, 2);
     var hexadecimal = decimal.toString(16);
 }

The '16' informs Javascript to return a string representing the specified Number object in base-16 (hexadecimal).

Step 5: Return the Hexadecimal number

After all the conversions, return the hexadecimal number:

 function convertBinaryToHexadecimal(binary) {
     var decimal = parseInt(binary, 2);
     var hexadecimal = decimal.toString(16);
     return hexadecimal;
 }

Conclusion

This function will turn any binary number to hexadecimal. Here's the complete code:

 function convertBinaryToHexadecimal(binary) {
     var decimal = parseInt(binary, 2);
     var hexadecimal = decimal.toString(16);
     return hexadecimal;
 }

By calling this function and providing a binary number as an argument, you will get a hexadecimal number in return.