Now, write all the integer parts of the product in each step.įor example, let us convert the fraction 0.625 to binary. Keep multiplying each successive resulting fraction by 2 until you get a resulting fraction product of zero. Multiply the fraction by 2, while noting down the resulting integer and fraction parts of the product. To convert a fraction to binary, follow the opposite of the process described above. So, the decimal number 10 is represented as 1010 in binary.

So, writing in reverse order, the number 15 in decimal is represented as 1111 in binary.įor an even integer, let's take the example of 10. In this example, remainders are 1, 1, 1, 1. Next, write the all the remainders in reverse order. Divide the integer by 2 successively while noting the quotient and remainder. 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. 10 is a 2-bit binary number, where 1 and 0 are bits.In computers, every digit of a binary number is called a 'bit'. It has a base of 2, i.e., two numerical characters - 0 and 1.Īlmost every computer and digital device is powered by the binary system, because it is very easy to implement in electronic circuits via logic gates. On the other hand, the binary number system is used extensively in machine-level programming. The decimal system is the most familiar to us, and is used almost everywhere in our day-to-day calculations.

The decimal and binary number systems are two of the most used numbers systems across the world.

Programs for converting decimal to binary.

The math behind decimal-binary conversion.

How to convert binary numbers to decimal.

How to convert decimal numbers to binary.

Convert number to binary python