Python doesn’t provide any inbuilt method to easily convert floating point decimal numbers to binary number. So, Let’s do this manually.

**Approach :**

To convert a floating point decimal number into binary, first convert the integer part into binary form and then fractional part into binary form and finally combine both results to get the final answer.

For Integer Part, keep dividing the number by 2 and noting down the remainder until and unless the dividend is less than 2. If so, stop and copy all the remainders together.

For Decimal Part, keep multiplying the decimal part with 2 until and unless 0 left as fractional part. After multiplying the first time, note down integral part and again multiply decimal part of the new value by 2. Keep doing this until reached a perfect number.

Above steps can be written as :

1(base 10) = 1(base 2) and .234(base 10) = .0011(base 2)Now, to get the binary of 1.234, merge both results as a complete number.

`(1)10 = (1)2`

[approx.]

(.234)10 = (.0011)2

(1.234)10 = (1.0011...)2

(1.234)10 = (1.0011)2

Below is the implementation :

`# Python program to convert float ` `# decimal to binary number ` ` ` `# Function returns octal representation ` `def` `float_bin(number, places ` `=` `3` `): ` ` ` ` ` `# split() seperates whole number and decimal ` ` ` `# part and stores it in two seperate 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 binary form and remove the ` ` ` `# "0b" from it. ` ` ` `res ` `=` `bin` `(whole).lstrip(` `"0b"` `) ` `+` `"."` ` ` ` ` `# Iterate the number of times, we want ` ` ` `# the number of decimal places to be ` ` ` `for` `x ` `in` `range` `(places): ` ` ` ` ` `# Multiply the decimal value by 2 ` ` ` `# and seperate the whole number part ` ` ` `# and decimal part ` ` ` `whole, dec ` `=` `str` `((decimal_converter(dec)) ` `*` `2` `).split(` `"."` `) ` ` ` ` ` `# Convert the decimal part ` ` ` `# to integer again ` ` ` `dec ` `=` `int` `(dec) ` ` ` ` ` `# Keep adding the integer parts ` ` ` `# receive to the result variable ` ` ` `res ` `+` `=` `whole ` ` ` ` ` `return` `res ` ` ` `# Function converts the value passed as ` `# parameter to it's 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 want result as ` `p ` `=` `int` `(` `input` `(` `"Enter the number of decimal places of the result : \n"` `)) ` ` ` `print` `(float_bin(n, places ` `=` `p)) ` |

*chevron_right*

*filter_none*

**Output :**

Enter your floating point value : 1.234 Enter the number of decimal places of the result : 41.0011

Enter your floating point value : 11.234 Enter the number of decimal places of the result : 41011.0011

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the **DSA Self Paced Course** at a student-friendly price and become industry ready.

## Recommended Posts:

- Python program to convert decimal to binary number
- Python Program to Convert any Positive Real Number to Binary string
- Python program to represent floating number as hexadecimal by IEEE 754 standard
- Python | Convert String to Binary
- Python | Ways to convert hex into binary
- Convert binary to string using Python
- Python program to convert POS to SOP
- Python program to convert a list to string
- Python | Program to convert String to a List
- Python | Program to convert a tuple to a string
- Python program to convert hex string to decimal
- Program to Convert Octal Number to Binary Number
- Python program to convert any base to decimal by using int() method
- Python program to convert float decimal to Octal number
- Floating point error in Python
- Floating Action type button in kivy - Python
- Animated Floating Action Button in kivy - Python
- Python Program for Binary Insertion Sort
- Python regex | Check whether the input is Floating point number or not
- Python program to modify the content of a Binary File

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.