Python Program to Convert any Positive Real Number to Binary string

Input: 123.5
Output: 1 1 1 1 0 1 1 . 1

Input: 0.25
Output: .01

• Integer Part: Step 1: Divide Integer part by 2 and note its Remainder(it will be either 0 or 1). Step 2: Again divide integer part by 2(integer obtained from step 1 by dividing initial integer by 2) and note its Remainder. Repeat these steps until your integer does not becomes zero. Step 3: Now reverse the sequence of Remainders you noted at each step.and this is your binary representation of integer part. Programming steps:

  def intpartbinary(m):
  
      a=[]
      n=int(m)
  
      while n!=0:
          a.append(n%2)
          n=n//2
      a.reverse()
  
      return a

  Defining a function intpartbinary() to convert integer part to binary representation. Define an Empty list taking integer part of an entered real number and divide it by 2 and store its remainder into an empty list each time while n==0, reverse the list and that will be the binary representation of integer part.
• Fractional Part: Step 1: Multiply fractional part by 2 and write its integer part only. Step 2: Subtract integer part from the number obtained in step 1(multiplying fraction part by 2) and again multiply fractional part by 2. Repeat these steps until the Fractional part does not become Zero. The sequence obtained is Binary representation of given fractional part. Programming Steps:

  def decimalpartbinary(m):
  
      a=[]
      n=m-int(m)
  
      while n!=0:
          x=2*n
          y=int(x)
          a.append(y)
          n=x-y
  
      return a

  Defining a function decimalpartbinary() to convert fractional part to binary. Again define an empty list, extracting fractional part from entered real number by subtracting integer part of entered real number from entered real number. Now multiply it by 2 and store only integer part of resulting number into the list and again taking fractional part and multiply by 2, store its integer part. Repeat this process until the fractional part does not become zero, and that will be the binary representation of the fractional part.

def binarycode(m):

    a = intpartbinary(m)
    b = decimalpartbinary(m)
    c = []

    for i in range(0, len(a)):
        c.append(a[i])

    c.append('.')

    for j in range(0, len(b)):
        c.append(b[j])

    print('Binary code of given function is\n')

    for k in range(0, len(c)):
        print(c[k], end=' ')

# defining a function to convert 
# integer part to binary
def intpartbinary(m):
    
    a = []
    n = int(m)
    
    while n != 0:
        
        a.append(n % 2)
        n = n//2
        
    a.reverse()
    return a

# defining a function to convert 
# fractional part to binary
def decimalpartbinary(m):
    
    a = []
    n = m-int(m)
    
    while n != 0:
        
        x = 2 * n
        y = int(x)
        a.append(y)
        n = x-y
        
    return a
# arranging all data into suitable format
def binarycode(m):
    
    # arranging all data to our desired 
    # format
    a = intpartbinary(m)
    b = decimalpartbinary(m)
    c =[]
    
    for i in range(0, len(a)):
        c.append(a[i])
        
    c.append('.')
    
    for j in range(0, len(b)):
        c.append(b[j])
        
    print('Binary code of given function is\n')
    
    for k in range(0, len(c)):
        print(c[k], end =' ')
        

# Driver Code
binarycode(123.5)

Binary code of given function is

1 1 1 1 0 1 1 . 1