Hexadecimal to Decimal in Python

Hexadecimal to Decimal in Python | The hexadecimal number system is a numeral system made up of 16 symbols. The hexadecimal number system is also known as hex. This system uses the decimal numbers (base 10) and six extra symbols (A to F). In hexadecimal no numerical symbols that represent If values greater than nine. This uses the English alphabet like Hexadecimal A = Decimal 10, and Hexadecimal F = Decimal 15. We can also convert from Decimal to Hexadecimal, Binary to Decimal and Decimal to Binary, Decimal to Octal and Octal to Decimal, Octal to Binary and Binary to Octal also can be done.

In this post, we will write the programs for hexadecimal to decimal conversion in Python language. We will be given a hexadecimal number and the python program to convert the given hexadecimal number into an equivalent decimal number.

HexadecimalDecimal
00
11
22
33
44
55
66
77
88
99
HexadecimalDecimal
A10
B11
C12
D13
E14
F15
1016
1117
5E94
3E81000

Mathematically,

Hexadecimal number = 3E8
Decimal number = 3 x 162 + 14 x 161 + 8 x 160
= 768 + 224 + 8 = 1000

Python Program to convert Decimal to Hexadecimal using While loop

This python program using a while loop to convert hexadecimal to decimal. We can also take the help of a user-defined function. A function is a block of code that performs a specific task. We will take a hexadecimal number while declaring the variables. Python program to convert hexadecimal to a decimal using while loop and finally, the result will be displayed on the screen.

# Python program to convert hexadecimal to decimal

def HexDecimal(num):  #user-defined function
    ch = dec = i = 0
    length = len(num) - 1

    while length >= 0:
        if num[length]>='0' and num[length]<='9':
            temp = int(num[length])
        elif num[length]>='A' and num[length]<='F':
            temp = ord(num[length]) - 55
        elif num[length]>='a' and num[length]<='f':
            temp = ord(num[length]) - 87
        else:
            ch = 1
            break
        
        dec = dec + (temp * (16 ** i))
        length = length - 1
        i = i+1
        
    return dec
    
# take inputs
num = input('Enter hexadecimal number: ')

# calling function and display result
print('The decimal value is =', HexDecimal(num))

Output for the different input values:-

Enter hexadecimal number: 19
The decimal value is = 25

Enter hexadecimal number: 5D
The decimal value is = 93

Enter hexadecimal number: 12b
The decimal value is = 299

Enter hexadecimal number: 2f65a3
The decimal value is = 3106211

Convert Hexadecimal to Decimal using int() function

This is the simplest and easiest program in python because this program is using a pre-defined function. We will take the hexadecimal number when declaring the variable and print the decimal value of the number using the int() function.

# Python program to convert hexadecimal to decimal

def HexDecimal(n):  #user-defined function
    return int(n, 16)
    
# take inputs
num = input('Enter hexadecimal number: ')

# calling function and display result
print('The decimal value is =', HexDecimal(num))

Output:-

Enter hexadecimal number: 42f
The decimal value is = 1071

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