﻿ Java - Convert a octal number to a decimal number

# Java: Convert a octal number to a decimal number

## Java Basic: Exercise-25 with Solution

Write a Java program to convert a octal number to a decimal number.

Octal number: The octal numeral system is the base-8 number system, and uses the digits 0 to 7.

Decimal number: The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is also called base-ten positional numeral system.

Test Data:
Input any octal number: 10

Pictorial Presentation: Octal to Decimal number Sample Solution:

Java Code:

`````` import java.util.Scanner;

public class Exercise25 {
public static void main(String[] args) {
// Create a Scanner object to read input from the user
Scanner in = new Scanner(System.in);

// Declare variables to store octal and decimal numbers, and an index counter
long octal_num, decimal_num = 0;
int i = 0;

// Prompt the user to input an octal number
System.out.print("Input any octal number: ");
octal_num = in.nextLong();

// Convert the octal number to decimal
while (octal_num != 0) {
decimal_num = (long)(decimal_num + (octal_num % 10) * Math.pow(8, i++));
octal_num = octal_num / 10;
}

// Display the equivalent decimal number
System.out.print("Equivalent decimal number: " + decimal_num + "\n");
}
}
```
```

Explanation:

In the exercise above -

• First, it takes an octal number as input from the user using the "Scanner" class and stores it in the variable 'octal_num'.
• It initializes a variable 'decimal_num' to store the decimal equivalent and another variable 'i' to keep track of the position of each octal digit.
• It enters a loop to perform the octal-to-decimal conversion:
• In each iteration, it calculates the remainder when 'octal_num' is divided by 10 (which gives the least significant octal digit).
• It multiplies this remainder by 8 raised to the power of 'i' and adds it to 'decimal_num' to accumulate the decimal value.
• To move to the next octal digit, it increments i.
• It updates 'octal_num' by removing the least significant digit (rightmost) by dividing it by 10.
• The loop continues until 'octal_num' becomes zero, effectively converting the entire octal number to decimal.
• After the loop, it prints the decimal representation of the original octal number stored in the ‘decimal_num’ variable.

Sample Output:

```Input any octal number: 10
Equivalent decimal number: 8
```

Flowchart: Java Code Editor:

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