# Java program for Hexadecimal to Decimal Conversion

The number system is of four types: Binary, Octal, Decimal and Hexadecimal with base value 2, 8, 10 and 16 respectively. The base value depends on the number of digits contained by number system. For example, binary number system contains only two digits 0 and 1. Hence, its base is 2.

In this article, we will discuss the hexadecimal and decimal number systems. Also, we will make java programs to convert hexadecimal to decimal numbers.

## Hexadecimal and Decimal number system

It represents the numbers from 0 to 9 and A to F. There is a total of 16 numbers available in it and its base value is also 16. A single digit has a weight of power 16 and every digit is 16 times more weighty than previous one. 12A16, 34B16, 45C16 are a few examples of hexadecimal. In computers, the code for colors is generally written in hexadecimal form.

Suppose, we have to store a large decimal value if we store it in binary numbering system then binary string may become very long. In this situation, we can use hexadecimal number system that can store 4 bits of binary into 1 bit. It shortens the length of bits.

### Decimal number system

It is the most used number system. It has 10 digits from 0 to 9. Hence, its base value is 10. If base value of a number is not mentioned then, it is considered to be 10. A single digit has a weight of power 10 and every digit is 10 times more weighty than previous one. For example, 1010, 43110, 98010 etc.

The following table represents the binary and decimal value of all hexdecimal digits −

Binary

Decimal

0001

1

1

0010

2

2

0011

3

3

0100

4

4

0101

5

5

0110

6

6

0111

7

7

1000

8

8

1001

9

9

1010

10

A

1011

11

B

1100

12

C

1101

13

D

1110

14

E

1111

15

F

Let’s understand how we can convert hexadecimal to decimal.

### Example 1

Convert hexadecimal (54A)16 to Decimal −

We can convert it to decimal by multiplying each digit with 16n-1 where n is the number of digits.

(54A)16 = 5 * 163-1 + 4 * 162-1 + A * 161-1

= 5 * 162 + 4 * 161 + 10 * 160 [A = 10 in decimal look at the table]

= 5 * 256 + 64 + 10 [160 is 1]

= 1280 + 74

= 1354

Now, we will see the java program in which we will apply the above logic to convert hexadecimal to decimal.

### Approach 1: Using parseInt() method

It is a static method of ‘Integer’ class that returns a decimal value according to the specified base. It is available in ‘java.lang’ package.

### Syntax

Integer.parseInt("String", base);


### Parameters

• String − the value that is going to convert

• Base − given value is converted according to the given base

### Example

public class Conversion {
public static void main(String args[]) {
// Converting and storing hexadecimal value to dec1 and dec2 with base 16
int dec1 = Integer.parseInt("54A", 16);
int dec2 = Integer.parseInt("41C", 16);
System.out.println("Decimal value of given Hexadecimal: " + dec1);
System.out.println("Decimal value of given Hexadecimal: " + dec2);
}
}


### Output

Decimal value of given Hexadecimal: 1354
Decimal value of given Hexadecimal: 1052


## Approach 2: Using user-defined method

In this approach, we will make a user-defined method cnvrt() along with a parameter ‘hexNum’. We will declare and initialize ‘hexStr’ which will store all the hexadecimal digits in the form of a string. Then, we will run a for loop till the length of parameter ‘hexNum’. In that loop, we will fetch the characters and their index from ‘hexStr’ and then we will apply the logic of conversion.

In the main method, we will call the method ‘cnvrt()’ with different arguments.

### Example

public class Conversion {
public static void cnvrt(String hexNum) {
// storing all the hexadecimal digits to this string
String hexStr = "0123456789ABCDEF";
// converting given argument to uppercase
hexNum = hexNum.toUpperCase();
int dec = 0;
for (int i = 0; i < hexNum.length(); i++) {
char ch = hexNum.charAt(i);
// fetching characters sequentially
int index = hexStr.indexOf(ch);
// fetching index of characters
dec = 16 * dec + index;
// applying the logic of conversion
}
System.out.println("Decimal value of given Hexadecimal: " + dec);
}
public static void main(String args[]) {
// calling the function with arguments
cnvrt("54A");
cnvrt("41C");
}
}


### Output

Decimal value of given Hexadecimal: 1354
Decimal value of given Hexadecimal: 1052


## Conclusion

In this article, we have understood the types of number system. These number systems serve as the base of any mathematical operation. Also, discussed two approaches for making java program to convert hexadecimal numbers to decimal numbers.

Updated on: 02-May-2023

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