Note that dividend (here given decimal number) is the number being divided, the divisor (here base of hexadecimal, i.e., 16) 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 540 into hexadecimal number. Print the array in reverse order (which will be equivalent hexadecimal 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: 0 to 15 because of divisor 16, replace 10, 11, 12, 13, 14, 15 by A, B, C, D, E, F respectively).
This is procedure for converting an integer decimal number, algorithm is given below.ĭivide this number by 16 (16 is base of hexadecimal so divisor here). Then write remainders from bottom to up (or in reverse order), which will be equivalent hexadecimal 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: 0 to 15 (replace 10, 11, 12, 13, 14, 15 by A, B, C, D, E, F respectively). Let decimal number is N then divide this number from 16 because base of hexadecimal number system is 16. This is a straightforward method which involve dividing the number to be converted. (a) Converting with Remainders (For integer part) However, there are two direct methods are available for converting a decimal number into Hexadecimal number − Converting with Remainders and Converting with Division. Then convert each digit of octal number into 3 bit of binary number, then use grouping of 4 bit of binary number. First convert it into binary or octal number, In an indirect method, you need to convert a decimal number into other number system (e.g., binary or octal), then you can convert into hexadecimal number by using grouping from binary number system and converting each octal digit into binary then grouping and convert these into hexadecimal number.Įxample − Convert decimal number 105 into hexadecimal number. There are various direct or indirect methods to convert a decimal number into hexadecimal number. Conversion from Decimal to Hexadecimal number system
These A, B, C, D, E, F use as single digit in place of double digits, 10, 11, 12, 13, 14, 15 respectively. Whereas Hexadecimal system is most familiar number system color representation in Computers or digital systems. From the obtained mixed fraction, convert it into an improper fraction.įor example N = 4.50, integral value = 4 and fractional part = 0.50Ĭonsider precision value to be (10 9) that is precision value = 1000000000Ĭalculate GCD(0.50 * 10 9, 10 9) = 500000000Ĭalculate numerator = (0.Decimal system is most familiar number system to the general public.Calculate the denominator by dividing the precision value by GCD value. Calculate numerator by dividing the integral equivalent of fractional part by GCD value.Calculate GCD of the integral equivalent of fractional part and precision value.Consider the precision value to be 10 9 to convert the fractional part of the decimal to an integral equivalent.Fetch integral value and fractional part of the decimal number ‘n’.Recommended: Please try your approach on first, before moving on to the solution.Īpproach: Follow the steps given below to solve the problem. Set in C++ Standard Template Library (STL).
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