Binary (base-2) and decimal (base-10) are the two most fundamental number systems in computing. While computers operate in binary, humans typically work with decimal. This converter is a simple tool to bridge that gap.

Why is this useful?

• Understanding Data: It helps in understanding how computers store numbers and other data. For example, an IP address is a 32-bit binary number, often displayed as four decimal numbers.
• Low-Level Programming: When working with hardware, embedded systems, or bitwise operations, it's essential to be able to switch between binary and decimal representations.
• Computer Science Education: Converting between number systems is a foundational concept in computer science.

How It Works

This tool takes a binary string (composed of 0s and 1s) and calculates its decimal equivalent. Each digit in the binary number represents a power of 2, starting from the rightmost digit (2^0). The tool sums up these values to produce the final decimal number. For example, the binary number `1011` is calculated as (1*2^3) + (0*2^2) + (1*2^1) + (1*2^0) = 8 + 0 + 2 + 1 = 11.