![]() Now, convert the Fraction part of the given decimal number (0.125) into a binary number. Note: Read the remainder from bottom to top. Now, convert the Integer part of the given decimal number (15) into a binary number. Here, we have to split the fractional decimal number into two parts. The number 0.375 converted to binary is 0.In this example, we will convert the fractional decimal number ( 15.125) to a binary number ( 1111.001). 375 is 011.Īt this point you take the integer part ( 0) and the fractional part ( 011) separately, and you compose them. You take the number 0 or 1 that depends on being > 1, and you read it from top to bottom (instead of bottom to top like we do for the integer part). The more digits the number has, in this case, the more precision it has. This might never happen, and you have a periodic fraction. You stop when the fractional part is equal to 0. If it’s > 1, then assign it a 1, then keep multiplying by 2 and following this scheme. If the integer part of the fraction is still less than 1, assign it a 0. To convert the fractional part you need to multiply it by 2. The decimal part of the fraction is converted separately like we did above. Converting a fraction from decimal to binary The binary number representing the 145 decimal is 10010001. The binary number representing the 29 decimal is 11101.Īnother example, let’s convert 145 decimal into binary. Let’s make an example, I want to convert 29 into binary: Now reverse the remainders list, and you get the number in binary form. Take the quotient, and keep dividing it by 2, until you reach zero.Įach time you perform this division, take note of the remainder. Converting an integer from decimal to binaryĪ decimal integer can be converted to binary by dividing it by 2. We have a separate process for integers, and for fractions. In this tutorial I want to explain how to convert from decimal numbers to binary numbers. I recently introduced the Decimal Number System, the one we are used as humans, and the Binary Number System, the one machines are used to. ![]()
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