Python doesn’t support any inbuilt function to easily convert floating point decimal numbers to octal representation. Let’s do this manually.
Approach : To convert a decimal number having fractional part into octal, first convert the integer part into octal form and then fractional part into octal form and finally combine the two results to get the final answer.
For Integer Part, Keep dividing the number by 8 and noting down the remainder until and unless the dividend is less than 8 and copy all the remainders together.
For the Decimal Part, Keep multiplying the decimal part with 8 until and unless we get 0 left as fractional part. After multiplying the first time, note down an integral part and then again multiply the decimal part of new value by 8 and keep doing this until perfect number is reached.
Above steps can be written as :
7(base 10) = 7(base 8) and .16(base 10) = .1217(base 8)Now, to get the octal of the decimal number 7.16, merge the two octal results.
(7)10 = (7)8(0.16)10 = (0.1217…)8
So, (7.16)10 = (7.1217…)8
or, (7.16)10 = (7.1217)8 (approx. value)
Below is the implementation :
# Python3 program to demonstrate # octal type conversion # Function returns the octal representation # of the value passed as parameters. 'number' # is floating point decimal number and 'places' # is the number of decimal places def float_octal(number, places = 3): # split() separates whole number and decimal # part and stores it in two separate variables whole, dec = str(number).split(".") # Convert both whole number and decimal # part from string type to integer type whole = int(whole) dec = int (dec) # Convert the whole number part to it's # respective octal form and remove the # "0o" from it. res = oct(whole).lstrip("0o") + "." # Iterate the number of times we want # the number of decimal places to be for x in range(places): # Multiply the decimal value by 8 and separate # the whole number part and decimal part whole, dec = str((decimal_converter(dec)) * 8).split(".") # Convert the decimal part # to integer again dec = int(dec) # keep adding the integer parts # received to the result variable res += whole return res # Function converts the value passed as # parameter to it's respective decimal # representation def decimal_converter(num): while num > 1: num /= 10 return num # Driver Code # Take the user input for # the floating point number n = input("Enter your floating point value : \n") # Take user input for the number of decimal # places user would like the result as p = int(input("Enter the number of decimal places of the result : \n")) print(float_octal(n, places = p)) |
Output :
Enter your floating point value : 7.16 Enter the number of decimal places of the result : 10 7.1217273146
Enter your floating point value : 7.1234 Enter the number of decimal places of the result : 5 7.07713
