How to Convert Decimal to Binary in Python

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Introduction:

1. The Python is considered as a highly versatile and sophisticated programming language which is having enriched library set with itself.

2. It is capable to interpret any complex programming and ability to solve it.

3. Among the many variety of problems if we are trying to convert from decimal to binary and vice versa then python has provided that feature also.

4. When we are trying to convert the decimal to Binary value then we can make the use of bin () function.

5. Similarly, the vice versa is also can be done using the inbuilt function int().

Here, I am going to discuss about How to convert the decimal value to binary value and vice versa in Python. Here we are also going to discuss that how they are used to support the inbuilt functions which is being provided by the Python library.

Basic Procedure for Converting the Decimal value to Binary value:

In normal ways when we are going to convert the decimal to binary value then we used to follow the following steps as mentioned below.

1. Keep calling conversion function with n/2 till n > 1,

2. later perform n % 1 to get MSB of converted binary number.

Let us consider that we are going to convert the decimal value of 7 to binary value. To do so, as I have already mentioned the steps above, we need to proceed as

1. 7/2 = Quotient = 3(grater than 1), Remainder = 1. So, repeat the step 1 again.

2. 3/2 = Quotient = 1(not grater than 1), Remainder = 1. So, repeat the step 1 again.

1%2 = Rem = 1. Here we need to stop, and we need to reverse count the value as (111) 2.

Implementation of program in Python:

In Python we can do the conversion form decimal to binary in three ways. I am going to discuss all the three approaches as below.

Approach-1: We can use the recursive technique here. To do so we need to proceed as follows.

DecimalToBinary(num):

if num >= 1:

DecimalToBinary(num // 2)

print num % 2

To implement the code in Python we can proceed as follows.

# Function to convert decimal number to binary using recursion technique.

def DecimalToBinary(num):

if num >= 1:

DecimalToBinary(num // 2)

print(num % 2, end = '')

# Driver Code

if __name__ == '__main__':

# decimal value

dec_val = 24

# Calling function

DecimalToBinary(dec_val)

Approach-2: Decimal to binary using in-built function.

Here we can make the use of bin() function. The implementation can be done as follows.

# use of binary function to convert Decimal number to Binary number

def decimalToBinary(n):

return bin(n).replace("0b", "")

# Driver code

if __name__ == '__main__':

print(decimalToBinary(8))

output: 1000.

Approach-3: Without the use of inbuilt function also we can do the conversion. If we need to do so, then we need to proceed as follows.

def decimalToBinary(n):

return "{0:b}".format(int(n))

# Driver code

if __name__ == '__main__':

print(decimalToBinary(8))

Output: 1000

Binary to Decimal in Python:

In normal ways when we are going to convert the binary to decimal value then we used to follow the following steps as mentioned below. Let us discuss here by considering an example. Let us consider that we are going to find the decimal equivalent of a binary value (1011)2. I am going to discuss the steps as below.

1. First we need to take the modulo of given binary number (1011)2 with 10.

(1011 % 10 = 1) it is the modulo division.

1. After getting this now we need to multiply the reminder value with 2 and raised to the power.

It’s position from right end.

1. * 2^0) It should be get noted that we are starting the counting position with 0.

1. Add the obtained result value with the previously generated result.

decimal = decimal + (1 * 2^0)

1.  Update binary number by dividing it by 10.

1. 0 = 101)

1. Keep repeating the above steps until the given binary number value is > 0.

Final Conversion -: (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (1 * 2^0) = 11

So, from the final conversion we came to know that the decimal equivalent of (1011)2 is 11.

Implementation of program in Python:

In Python we can do the conversion form binary to decimal in following two manners. Here I am going to discuss both the approaches as below.

Program:

Approach-1: Without using the inbuilt function. Here we can use the loop concept to make the conversion.

Program:

def binaryToDecimal(binary):

binary1 = binary

decimal, i, n = 0, 0, 0

while(binary != 0):

dec = binary % 10

decimal = decimal + dec * pow(2, i)

binary = binary//10

i += 1

print(decimal)

# Driver code

if __name__ == '__main__':

binaryToDecimal(100)

Output: 4.

Approach-2: Using the inbuilt function int().

We can also able to do the program using the inbuilt function int(). To do so, we need to proceed as follows.

Program:

def binaryToDecimal(n):

return int(n,2)

# Driver code

if __name__ == '__main__':

print(binaryToDecimal('100'))

Output: 4.

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