Binary to Hexadecimal Converter

Convert binary directly to hexadecimal.

How the Math Works

The Binary to Hexadecimal Converter uses a two-step conversion process. First, the binary number is converted to its decimal equivalent by multiplying each bit by 2 raised to the power of its position (starting from 0 on the right), then summing all the results. Second, the decimal number is converted to hexadecimal by repeatedly dividing by 16 and recording the remainders, which are then mapped to their corresponding hexadecimal digits (0-9 and A-F). For example, binary 1101 converts to decimal 13, which converts to hexadecimal D.

Practical Applications

To use this calculator, enter a binary number into the input field and click the convert button. The tool will first calculate the decimal value by evaluating each binary digit's positional weight, then transform that decimal number into hexadecimal notation. This is particularly useful when working with digital systems, programming, or computer engineering tasks where you need to translate between different number representations used in various computing contexts.

Day-to-Day Use

While you might not convert binary to hex in daily activities, this skill proves valuable when troubleshooting computer networks, examining memory addresses in programming, or understanding digital electronics. Hexadecimal notation provides a more compact and readable representation of binary data, making it easier to work with computer systems, debug code, or configure network settings without getting lost in long strings of 0s and 1s.

Worked example

11111111 → FF.

FAQ