Python Program to Convert Binary to Octal using While Loop

In the previous article, we have discussed Python Program to Convert Octal to Decimal using While Loop
Given a binary number and the task is to get the respective octal number using the while loop.

Examples:

Example1:

Input:

Given Binary Number = 1010

Output:

The Octal value of the given binary number { 1010 } is: 
12

Example2:

Input:

Given Binary Number = 1101

Output:

The Octal value of the given binary number { 1101 } is: 
15

Program to Convert Binary to Octal using While Loop in Python

Below are the ways to convert the given binary number into octal :

Method #1: Using While Loop (Static Input)

Approach:

  • Give the binary number as static input and store it in a variable.
  • Take a variable say octl_num and initialize its value with 0.
  • Take another variable say deciml_num and initialize its value with 0.
  • Again take another variable say ‘a’ and initialize its value with 0.
  • Loop till the given binary number is not equal to zero using the while loop.
  • Inside the loop, calculate the given binary number modulus 10 (to get the last digit).
  • Store it in a variable ‘b‘.
  • Calculate the value of 2 raised to the power a using the pow() function and multiply it with the above-obtained value ‘b‘.
  • Store it in a variable ‘c‘.
  • Add ‘c‘ to the above-initialized deciml_num and store it in the same variable deciml_num.
  • Increment the value a by 1 and store it in the same variable ‘a’.
  • Divide the given binary number by 10 and store it in the same variable binry_numb.
  • Come out of the while loop and initialize the value of ‘a’ with 1.
  • Loop till the decimal number is not equal to zero using the while loop.
  • Multiply  ‘a‘ with the deciml_num modulus 8 and store it in a variable ‘d’.
  • Add the value of ‘d’ with the above-initialized octl_num and store it in the same variable octl_num.
  • Divide the deciml_num by 8 and store it in the same variable deciml_num.
  • Multiply ‘a’ with 10 and store it in the same variable ‘a’.
  • Print the octl_num to get the octal value of the given binary number.
  • The Exit of the Program.

Below is the implementation:

# Give the binary number as static input and store it in a variable.
binry_numb = 1010
# Take a variable say octl_num and initialize its value with 0.
octl_num = 0
# Take another variable say deciml_num and initialize its value with 0.
deciml_num = 0
# Again take another variable say 'a' and initialize its value with 0.
a = 0
# Loop till the given binary number is not equal to zero using the while loop.
print("The Octal value of the given binary number {", binry_numb, "} is: ")
while (binry_numb != 0):
 # Inside the loop, calculate the given binary number modulus 10 (to get the last digit).
 # store it in a variable 'b'.
    b = (binry_numb % 10)
    # Calculate the value of 2 raised to the power a using the pow() function and multiply
# it with the above-obtained value 'b'.
 # Store it in a variable 'c'.
    c = pow(2, a)*b
 # Add 'c' to the above-initialized deciml_num and store it in the same variable deciml_num.
    deciml_num = deciml_num + c
    # Increment the value a by 1 and store it in the same variable 'a'.
    a += 1
 # Divide the given binary number by 10 and store it in the same variable binry_numb.
    binry_numb = binry_numb // 10
 # Come out of the while loop and initialize the value of 'a' with 1.
a = 1
# Loop till the decimal number is not equal to zero using the while loop.
while (deciml_num != 0):
    # Multiply 'a' with the deciml_num modulus 8 and store it in a variable 'd'.
    d = (deciml_num % 8) * a
 # Add the value of 'd' with the above-initialized octl_num and store it in the same
    # variable octl_num.
    octl_num = octl_num + d
    # Divide the deciml_num by 8 and store it in the same variable deciml_num.
    deciml_num = deciml_num // 8
    # Multiply 'a' with 10 and store it in the same variable 'a'.
    a = a * 10
# Print the octl_num to get the octal value of the given binary number.
print(octl_num)

Output:

The Octal value of the given binary number { 1010 } is: 
12

Method #2: Using While loop (User Input)

Approach:

  • Give the binary number as user input using the int(input()) function and store it in a variable.
  • Take a variable say octl_num and initialize its value with 0.
  • Take another variable say deciml_num and initialize its value with 0.
  • Again take another variable say ‘a’ and initialize its value with 0.
  • Loop till the given binary number is not equal to zero using the while loop.
  • Inside the loop, calculate the given binary number modulus 10 (to get the last digit).
  • Store it in a variable ‘b‘.
  • Calculate the value of 2 raised to the power a using the pow() function and multiply it with the above-obtained value ‘b‘.
  • Store it in a variable ‘c‘.
  • Add ‘c‘ to the above-initialized deciml_num and store it in the same variable deciml_num.
  • Increment the value a by 1 and store it in the same variable ‘a’.
  • Divide the given binary number by 10 and store it in the same variable binry_numb.
  • Come out of the while loop and initialize the value of ‘a’ with 1.
  • Loop till the decimal number is not equal to zero using the while loop.
  • Multiply  ‘a‘ with the deciml_num modulus 8 and store it in a variable ‘d’.
  • Add the value of ‘d’ with the above-initialized octl_num and store it in the same variable octl_num.
  • Divide the deciml_num by 8 and store it in the same variable deciml_num.
  • Multiply ‘a’ with 10 and store it in the same variable ‘a’.
  • Print the octl_num to get the octal value of the given binary number.
  • The Exit of the Program.

Below is the implementation:

# Give the binary number as user input using the int(input()) function and store it
# in a variable.
binry_numb = int(input("Enter some random Number = "))
# Take a variable say octl_num and initialize its value with 0.
octl_num = 0
# Take another variable say deciml_num and initialize its value with 0.
deciml_num = 0
# Again take another variable say 'a' and initialize its value with 0.
a = 0
# Loop till the given binary number is not equal to zero using the while loop.
print("The Octal value of the given binary number {", binry_numb, "} is: ")
while (binry_numb != 0):
 # Inside the loop, calculate the given binary number modulus 10 (to get the last digit).
 # store it in a variable 'b'.
    b = (binry_numb % 10)
    # Calculate the value of 2 raised to the power a using the pow() function and multiply
# it with the above-obtained value 'b'.
 # Store it in a variable 'c'.
    c = pow(2, a)*b
 # Add 'c' to the above-initialized deciml_num and store it in the same variable deciml_num.
    deciml_num = deciml_num + c
    # Increment the value a by 1 and store it in the same variable 'a'.
    a += 1
 # Divide the given binary number by 10 and store it in the same variable binry_numb.
    binry_numb = binry_numb // 10
 # Come out of the while loop and initialize the value of 'a' with 1.
a = 1
# Loop till the decimal number is not equal to zero using the while loop.
while (deciml_num != 0):
    # Multiply 'a' with the deciml_num modulus 8 and store it in a variable 'd'.
    d = (deciml_num % 8) * a
 # Add the value of 'd' with the above-initialized octl_num and store it in the same
    # variable octl_num.
    octl_num = octl_num + d
    # Divide the deciml_num by 8 and store it in the same variable deciml_num.
    deciml_num = deciml_num // 8
    # Multiply 'a' with 10 and store it in the same variable 'a'.
    a = a * 10
# Print the octl_num to get the octal value of the given binary number.
print(octl_num)

Output:

Enter some random Number = 1101
The Octal value of the given binary number { 1101 } is: 
15

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