Decimal to Binary

How does binary conversion work?

Binary conversion involves translating numbers from the decimal system, which is base-10, to the binary system, which is base-2. This process requires dividing the decimal number by 2 repeatedly and recording the remainders until the quotient is zero; the binary equivalent is then read from the remainders in reverse order. For example, converting the decimal number 13 to binary entails dividing by 2 to get remainders of 1, 0, 1, and 1, resulting in the binary number 1101.