Hex to Binary Converter: Convert Hexadecimal to Binary

What is the Hex to Binary Converter Tool?

The Hex to Binary Converter Tool is a simple calculator that converts hexadecimal numbers (base 16) to binary numbers (base 2). This tool makes the task easier by showing you the steps to convert each digit to the correct binary form.

To use this tool, type in a hex number (such as 1 or F) and click the Convert button. The tool then converts the hex digits to binary digits and displays them in groups of four to form a complete binary number.

For example, if you enter the hex number 9, the tool will convert it to the matching binary number using the number system rules.

Whether you are solving math problems or need a quick conversion for technical work, the Hex to Binary Converter Tool gives you the correct answer. It clearly displays numbers in both systems, making it a useful tool for anyone working with hex and binary numbers.

What is a Hexadecimal System (Hex System)

The hexadecimal system, or hex, works with base 16. In this system, there are 16 symbols. These are the ten digits that we already know (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and six letters (A, B, C, D, E, F). These letters represent 10 to 15 values ​​in a single symbol.

People use hex in mathematics and computer science as a simple way to represent binary numbers. Each hex digit is equal to four binary digits, so hex provides a shorthand for writing binary.

Four binary digits, called nibbles, make up half of a byte. A byte can store values ​​from 0000 0000 to 1111 1111 in binary. In hex, the same values ​​appear simpler, going from 00 to FF.

In HTML coding, colors are often represented in six-digit hex numbers. For example, FFFFFF represents white, while 000000 represents black.

What is a Binary System

The binary system works with base 2. It uses only two digits: 0 and 1.

In ancient times, such as Egypt, China, and India, people used binary in different ways. Today, it is the main system for computers and electronics. It works well because it corresponds to the two states of electricity: off (0) and on (1). Computers also use binary code to create and read all data. The words on your screen also come from binary digits.

Binary numbers are not difficult to read. Like other number systems, they are positional. Each digit represents a power of 2, starting at 2⁰ from the right. In binary, each digit is called a bit.

How to Convert Hexadecimal to Binary Number?

To convert a hexadecimal number to its binary equivalent, follow the steps given below:

Step 1: Write down the given hexadecimal number.

Step 2: Count the total digits in that number.

Step 3: If there are n digits, multiply each digit by 16^(n-1), where the digit is in the nth place.

Step 4: Add all the results after the multiplication.

Step 5: The final value you get is the decimal form of the given hexadecimal number. Now, convert this decimal to binary.

Step 6: Divide the decimal number by 2.

Step 7: Write down the remainder.

Step 8: Repeat the division with the divisor until the divisor is zero.

Step 9: Arrange all the remainders in reverse order.

Step 10: The final answer is the required binary number.

So, from these steps it is clear that to convert any hexadecimal number to binary, we first convert the hexadecimal to decimal and then convert that decimal to binary.

How to Convert Hexadecimal to Binary?

The idea of ​​converting hexadecimal to binary is very important in mathematics and is useful in everyday life as well as in exams. Knowing how to convert hexadecimal numbers to binary helps students in fields such as digital electronics, computer coding, and entrance exams. Let’s see what hexadecimal to binary conversion means and how you can do it easily!

Hex to Binary Table

Here is the table for hex to binary conversion. The table is given for the first few numbers up to 16.

FAQs