# Python Program for Binary To Decimal Conversion

## Binary to Decimal Conversion

In this article we will discuss binary to decimal conversion in Python. For this purpose we need to take a binary integer number from user and convert that binary integer number to its decimal equivalent form and then print the converted number on to the screen. A Decimal number can be calculated by multiplying every digits of binary number with 2 to the power of the integers starts from 0 to n-1 where n refers as the total number of digits present in a binary number and finally add all of them. ### Working :

A Decimal number can be calculated by multiplying every digits of binary number with 2 to the power of the integers

starts from 0 to n-1 where n refers as the total number of digits present in a binary number and finally add all of them.

### Methods Discussed :

1. Algorithmic way (Binary to Decimal)
2. Inbuilt Method (Binary to Decimal)

### Algorithm :

• While num is greater then zero
• Store the unit place value of num to a variable (rem)
• Completely divide Num by 10 and multiply base with 2

### Time and Space Complexities

• Time Complexity – O(N), where N is the count of the digits in the binary number
• Space Complexity – O(1), Constant Space

### Python Code :

Run
```num = 10
binary_val = num
decimal_val = 0
base = 1

while num > 0:
rem = num % 10
decimal_val = decimal_val + rem * base
num = num // 10
base = base * 2

print("Binary Number is {}\nDecimal Number is {}".format(binary_val, decimal_val))```

### Output :

```Binary Number is 10
Decimal Number is 2```

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### 14 comments on “Python Program for Binary To Decimal Conversion”

• KRISHNA

n=8
print(bin(n)[2:]) 0
• n=int(input())
ls=[]
for i in str(n):
ls.append(i)
k=len(ls)-1
g=0
i=0
while(i<len(ls)):
if(ls[i]=="1"):
g+=2**k

k-=1
i+=1

print(g) 0