Java: Convert a binary number to decimal number

Last update on December 21 2024 09:34:51 (UTC/GMT +8 hours)

Binary to Decimal Converter

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

Binary number: A binary number is a number expressed in the base-2 numeral system or binary numeral system. This system uses only two symbols: typically 1 (one) and 0 (zero).

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.

Pictorial Presentation: Binary to Decimal number

Sample Solution:

Java Code:

import java.util.Scanner;

public class Exercise22 {
    public static void main(String[] args) {
        // Create a Scanner object to read input from the user
        Scanner sc = new Scanner(System.in);
        
        // Declare variables to store binary and decimal numbers, remainder, and a multiplier
        long binaryNumber, decimalNumber = 0, j = 1, remainder;
        
        // Prompt the user to input a binary number
        System.out.print("Input a binary number: ");
        binaryNumber = sc.nextLong();

        // Convert the binary number to decimal
        while (binaryNumber != 0) {
            remainder = binaryNumber % 10;
            decimalNumber = decimalNumber + remainder * j;
            j = j * 2;
            binaryNumber = binaryNumber / 10;
        }
        
        // Display the decimal representation of the binary number
        System.out.println("Decimal Number: " + decimalNumber);
    }
}

Explanation:

In the exercise above -

• It takes a binary number as input from the user using the "Scanner" class and stores it in the variable 'binaryNumber'.
• It initializes a variable 'decimalNumber' to store the decimal equivalent and another variable 'j' as a multiplier, starting from 1.
• It enters a loop to perform the binary-to-decimal conversion:
• In each iteration, it calculates the remainder when the 'binaryNumber' is divided by 10 (which gives the least significant binary digit).
• It then adds this remainder multiplied by the current value of 'j' to the 'decimalNumber'.
• It multiplies 'j' by 2 to prepare for the next binary digit.
• It updates 'binaryNumber' by removing the least significant digit (rightmost) and by dividing it by 10.
• The loop continues until 'binaryNumber' becomes zero, effectively converting the entire binary number to decimal.
• After the loop, it prints the decimal representation of the binary number stored in the 'decimalNumber' variable.

Sample Output:

Input a binary number: 100                                                                                    
Decimal Number: 4 

Flowchart:

Java Code Editor:

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