Since given number is decimal fractional number, so by using above algorithm performing short multiplication by 2 with integer part.
Note that a multiplicand (here decimal fractional number) is that to be multiplied by multiplier (here base of 2, i.e., 2)Įxample − Convert decimal fractional number 0.8125 into binary number. Print the array (which will be equivalent fractional binary number of given decimal fractional number). Repeat the above two steps until the number became zero. Store the value of integer part of result in an array (it will be either 0 or 1 because of multiplier 2). Multiple this number by 2 (2 is base of binary so multiplier here). This is procedure for converting an fractional decimal number, algorithm is given below. Then write noted results of integer part, which will be equivalent fraction binary number of given decimal number. Again multiply remaining decimal fractional number till it became 0 and note every integer part of result of every step. Note down the value of integer part, which will be either 0 or 1. Let decimal fractional part is M then multiply this number from 2 because base of binary number system is 2. (b) Performing Short Multiplication by Two with result (For fractional part) For decimal fractional part, the method is explained as following below. Now, write remainder from bottom to up (in reverse order), this will be 1110000 which is equivalent binary number of decimal integer 112.īut above method can not convert fraction part of a mixed (a number with integer and fraction part) decimal number. Since given number is decimal integer number, so by using above algorithm performing short division by 2 with remainder. Note that dividend (here given decimal number) is the number being divided, the divisor (here base of binary, i.e., 2) in the number by which the dividend is divided, and quotient (remaining divided decimal number) is the result of the division.Įxample − Convert decimal number 112 into binary number. Print the array in reverse order (which will be equivalent binary number of given decimal number). Repeat the above two steps until the number is greater than zero. Store the remainder in an array (it will be either 0 or 1 because of divisor 2). This is procedure for converting an integer decimal number, algorithm is given below.ĭivide this number by 2 (2 is base of binary so divisor here). Then write remainders from bottom to up (or in reverse order), which will be equivalent binary number of given decimal number. Again divide remaining decimal number till it became 0 and note every remainder of every step. Note down the value of remainder, which will be either 0 or 1. Let decimal number is N then divide this number from 2 because base of binary number system is 2. This is a straightforward method which involve dividing the number to be converted. (a) Performing Short Division by Two with Remainder (For integer part) However, there are two direct methods are available for converting a decimal number into binary number: Performing Short Division by Two with Remainder (for integer part), Performing Short Multiplication by Two with result (For fractional part) and Descending Powers of Two and Subtraction. Then convert it into binary number by converting each digit. First convert it into octal or hexadecimal number, In an indirect method, you need to convert a decimal number into other number system (e.g., octal or hexadecimal), then you can convert into binary number by converting each digit into binary number.Įxample − Convert decimal number 125 into binary number. There are various direct or indirect methods to convert a decimal number into binary number.
Conversion from Decimal to Binary number system
It is base 2 which has only 2 symbols: 0 and 1, these digits can be represented by off and on respectively. Whereas Binary number is most familiar number system to the digital systems, networking, and computer professionals.
Decimal number is most familiar number system to the general public.
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