java

binaryToDecimal()

Parameters: String binaryString

A binary number in string format

Returns: The decimal equivalent of the binary input (Integer)

The function binaryToDecimal takes a binary number as input and converts it to its equivalent decimal number using mathematical and programming principles of Java.

Variables
Loops
Type Conversion
Arithmetic Operations
Medium dificulty

Creating a Java Function to Convert Binary to Decimal

Hello, Fellow Programmer! Welcome to our blog post. Today, we're going to walk through a neat feature in Java programming - Converting Binary To Decimal. This post will provide a step-by-step guide to help you understand this function better. Embrace the simplicity of Java and happy learning!

Step 1: Understand the Problem

The very first step is to understand what binary to decimal conversion is. Binary consists of 0's and 1's, and the decimal system is the numerical system most people use, which consists of digits from 0 to 9. To convert a binary number to its decimal form, we use the formula "binary_digit * 2^position", where the position is the location of the digit from right to left, starting with 0. Now, let's start writing our binary to decimal conversion method in Java.

public int binaryToDecimal(String binaryString) {
  // the implementation of the function will go here
}

Step 2: Initialize a Result Variable

We are going to need a variable to hold the result of the conversion.

public int binaryToDecimal(String binaryString) {
  int result = 0;
  //.....
}

Step 3: Loop Over the Binary String

We will iterate over the characters of the binary String in a reverse order.

public int binaryToDecimal(String binaryString) {
  int result = 0;
  for (int i = binaryString.length() - 1; i >= 0; i--) {
    //...
  }
}

Step 4: Update the Result

Now we will update the result by adding the value of the binary digit at position 'i' multiplied by 2 raised to the power of the (length of the string - i - 1).

public int binaryToDecimal(String binaryString) {
  int result = 0;
  for(int i = binaryString.length() - 1; i >= 0; i--) {
    result += Character.getNumericValue(binaryString.charAt(i)) * Math.pow(2, binaryString.length() - i - 1);
  }
}

Step 5: Return the Result

The final step is to return the result.

public int binaryToDecimal(String binaryString) {
  int result = 0;
  for(int i = binaryString.length() - 1; i >= 0; i--) {
    result += Character.getNumericValue(binaryString.charAt(i))*Math.pow(2, binaryString.length()- i - 1);
  }
  return result;
}

This function takes a binary number (in string form) as input, converts it into a decimal number and returns the result.

Learn function in:

Binary to Decimal Conversion

Converting a binary number into its decimal equivalent

Learn more

Mathematical principle

`binaryToDecimal` function uses the principle of positional number system. In binary system, each digit position represents a power of 2. By summing up the product of each digit and its corresponding power of 2, binary number can be converted to decimal. For instance, binary number `101` can be evaluated as `(1*2^2) + (0*2^1) + (1*2^0)` to obtain the decimal equivalent `5`.

Learn more