![]() ![]() Step-4: Combine the binary number obtained in step-2 & 3 together to get the equivalent binary number corresponding to decimal number. The binary equivalent is obtained by reading the carry term from top to bottom. Repeat the process till product zero is obtained. Multiply the fraction 0.625 by 2 continuously and record the carry in the integer position in each multiplication. Step-3: Fraction conversion into binary number from bottom to top, the equivalent binary number is 110101. DivisionĬonsidering the remainders in the reverse order i.e. Divide 53 by 2 until remainder 0 is obtained. ![]() Step-2: Double-dabble method to convert integer into binary. Step-1: The integer is 53 and the fraction is 0.625. Let us now consider an example for better understanding of method to convert decimal number into binary number.Ĭonvert the decimal number 53.625 into an equivalent binary number. Step-4: Combine the binary number obtained for inter and fraction to get the overall binary number corresponding to the decimal number. The equivalent binary number will be equal to the carries in the forward order. Repeat this till product zero is obtained. Step-3: To convert fraction into binary, multiply the number by 2 continuously & record the carry in integer position each time after multiplication. The equivalent binary number is equal to the remainder in each division in reverse order. Divide the integer by 2 progressively until the quotient zero is obtained. Step-2: Use double-dabble method for converting integer into binary. Step-1: Separate the number into inter and fraction. The steps to convert decimal number into binary may be formulated as below: Steps to convert Decimal Number into Binary: ![]() The carries in the forward order gives the required binary number. This process is repeated until the product becomes zero. However, if the decimal number is a fraction, its equivalent binary number is obtained by continuously multiplying the number by 2 while recording the carry in the integer position each time. Double-dabble method is used for converting integer into binary. ![]()
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