After this, just write all the remainders in reverse order to get the binary representation of the integer.įor example, let's convert the integer 15 to binary. Like this, keep dividing each successive quotient by 2 until you get a quotient of zero. Then, divide the quotient again by 2, and record the 3rd quotient and remainder. Divide the integer by 2, while noting the quotient and remainder. Let's look at two cases - converting decimal integers to binary, and then decimal fractions less than 1 to binary. Let's first take a look at the most common method used for conversion, and then delve deeper into the math behind the decimal-binary conversion. There are several methods and programs for converting decimal numbers to binary, and vice-versa.
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