Decimal to Binary Converter

The binary number system is the foundation of all modern digital computing. While humans typically use the decimal system (base 10) with digits 0-9, computers fundamentally operate using binary (base 2) with only 0s and 1s. Understanding binary is essential for computer science students, programmers, and anyone working with digital systems. Each binary digit represents a power of 2. The rightmost digit is 2^0 (1), the next is 2^1 (2), then 2^2 (4), and so on. The binary number 1010 equals 1x8 + 0x4 + 1x2 + 0x1 = 10 in decimal. The conversion process involves repeated division by 2, recording each remainder. Reading these remainders from bottom to top gives the binary representation. For example, converting 13: 13÷2=6 r1, 6÷2=3 r0, 3÷2=1 r1, 1÷2=0 r1. Reading remainders up: 1101. Binary understanding is crucial for bitwise operations, memory addressing, IP addressing, color representations, and countless other computing concepts.