In the previous article, we have discussed Python Program to Find the Position of an Element in a Matrix

Given an octal number and the task is to get the respective binary number using the while loop.

**Examples:**

**Example1:**

**Input:**

Given Octal Number = 10

**Output:**

The Binary value of the given Octal number { 10 } is: 1000

**Example2:**

**Input:**

Given Octal Number = 35

**Output:**

The Binary value of the given Octal number { 35 } is: 11101

## Program to Convert Octal to Binary in Python

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

### Method #1: Using While Loop (Static Input)

**Approach:**

- Give the octal number as static input and store it in a variable.
- Take a variable say ‘
**a**‘and initialize its value with 0. - Take another variable say
**deciml_num**and initialize its value with 0. - Again take another variable say
**‘binry_num’**and initialize its value with 0. - Loop till the given octal number is not equal to zero using the while loop.
- Inside the loop, calculate the given octal number modulus 10 (to get the last digit).
- Store it in a variable ‘
**b**‘. - Calculate the value of 8 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 octal number by 10 and store it in the same variable
**gvn_octl_num.** - 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.
- MultiplyÂ ‘
**a**‘ with the**deciml_num**modulus 2 and store it in a variable ‘**d**‘. - Add the value of
**‘d’**with the above-initialized**binry_num**and store it in the same variable**binry_num.** - Divide the
**deciml_num**by 2 and store it in the same variable**deciml_num.** - Multiply
**‘a’**with 10 and store it in the same variable**‘a’.** - Print the
**binry_num**to get the binary value of the given octal number. - The Exit of the Program.

**Below is the implementation:**

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

**Output:**

The Binary value of the given Octal number { 10 } is: 1000

### Method #2: Using While loop (User Input)

**Approach:**

- Give the octal number as user input using the int(input()) function and store it in a variable.
- Take a variable say ‘
**a**‘and initialize its value with 0. - Take another variable say
**deciml_num**and initialize its value with 0. - Again take another variable say
**‘binry_num’**and initialize its value with 0. - Loop till the given octal number is not equal to zero using the while loop.
- Inside the loop, calculate the given octal number modulus 10 (to get the last digit).
- Store it in a variable ‘
**b**‘. - Calculate the value of 8 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 octal number by 10 and store it in the same variable
**gvn_octl_num.** - 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.
- MultiplyÂ ‘
**a**‘ with the**deciml_num**modulus 2 and store it in a variable ‘**d**‘. - Add the value of
**‘d’**with the above-initialized**binry_num**and store it in the same variable**binry_num.** - Divide the
**deciml_num**by 2 and store it in the same variable**deciml_num.** - Multiply
**‘a’**with 10 and store it in the same variable**‘a’.** - Print the
**binry_num**to get the binary value of the given octal number. - The Exit of the Program.

**Below is the implementation:**

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

**Output:**

Enter some Random Number = 35 The Binary value of the given Octal number { 35 } is: 11101

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