Program to Convert Hexadecimal Number to Binary

Given a Hexadecimal number as an input, the task is to convert that number to Binary number.

Examples:

Input: Hexadecimal = 1AC5
Output: Binary = 0001101011000101
Explanation:
    Equivalent binary value of 1: 0001
    Equivalent binary value of A: 1010
    Equivalent binary value of C: 1100
    Equivalent binary value of 5: 0101

Input: Hexadecimal = 5D1F
Output: Binary = 0101110100011111

Approach: A hexadecimal number is a positional numeral system with a radix, or base, of 16 and uses sixteen distinct symbols.

A binary number is a number expressed in the base-2 binary numeral system, which uses only two symbols: which are 0 (zero) and 1 (one).



To convert HexaDecimal number to Binary, the binary equivalent of each digit of the HexaDecimal number is evaluated and combined at the end to get the equivalent binary number.

Below is the implementation of the above approach:

C++

filter_none

edit
close

play_arrow

link
brightness_4
code

// C++ program to convert
// Hexadecimal number to Binary
  
#include <bits/stdc++.h>
using namespace std;
  
// function to convert
// Hexadecimal to Binary Number
void HexToBin(string hexdec)
{
    long int i = 0;
  
    while (hexdec[i]) {
  
        switch (hexdec[i]) {
        case '0':
            cout << "0000";
            break;
        case '1':
            cout << "0001";
            break;
        case '2':
            cout << "0010";
            break;
        case '3':
            cout << "0011";
            break;
        case '4':
            cout << "0100";
            break;
        case '5':
            cout << "0101";
            break;
        case '6':
            cout << "0110";
            break;
        case '7':
            cout << "0111";
            break;
        case '8':
            cout << "1000";
            break;
        case '9':
            cout << "1001";
            break;
        case 'A':
        case 'a':
            cout << "1010";
            break;
        case 'B':
        case 'b':
            cout << "1011";
            break;
        case 'C':
        case 'c':
            cout << "1100";
            break;
        case 'D':
        case 'd':
            cout << "1101";
            break;
        case 'E':
        case 'e':
            cout << "1110";
            break;
        case 'F':
        case 'f':
            cout << "1111";
            break;
        default:
            cout << "\nInvalid hexadecimal digit "
                 << hexdec[i];
        }
        i++;
    }
}
  
// driver code
int main()
{
  
    // Get the Hexadecimal number
    char hexdec[100] = "1AC5";
  
    // Convert HexaDecimal to Binary
    cout << "\nEquivalent Binary value is : ";
    HexToBin(hexdec);
  
    return 0;
}

chevron_right


C

filter_none

edit
close

play_arrow

link
brightness_4
code

// C program to convert
// Hexadecimal number to Binary
  
#include <stdio.h>
  
// function to convert Hexadecimal to Binary Number
void HexToBin(char* hexdec)
{
  
    long int i = 0;
  
    while (hexdec[i]) {
  
        switch (hexdec[i]) {
        case '0':
            printf("0000");
            break;
        case '1':
            printf("0001");
            break;
        case '2':
            printf("0010");
            break;
        case '3':
            printf("0011");
            break;
        case '4':
            printf("0100");
            break;
        case '5':
            printf("0101");
            break;
        case '6':
            printf("0110");
            break;
        case '7':
            printf("0111");
            break;
        case '8':
            printf("1000");
            break;
        case '9':
            printf("1001");
            break;
        case 'A':
        case 'a':
            printf("1010");
            break;
        case 'B':
        case 'b':
            printf("1011");
            break;
        case 'C':
        case 'c':
            printf("1100");
            break;
        case 'D':
        case 'd':
            printf("1101");
            break;
        case 'E':
        case 'e':
            printf("1110");
            break;
        case 'F':
        case 'f':
            printf("1111");
            break;
        default:
            printf("\nInvalid hexadecimal digit %c",
                   hexdec[i]);
        }
        i++;
    }
}
  
// driver code
int main()
{
  
    // Get the Hexadecimal number
    char hexdec[100] = "1AC5";
  
    // Convert HexaDecimal to Binary
    printf("\nEquivalent Binary value is : ");
    HexToBin(hexdec);
}

chevron_right


Java

filter_none

edit
close

play_arrow

link
brightness_4
code

// Java program to convert
// Hexadecimal number to Binary
  
public class Improve {
  
    // function to convert
    // Hexadecimal to Binary Number
    static void HexToBin(char hexdec[])
    {
        int i = 0;
  
        while (hexdec[i] != '\u0000') {
  
            switch (hexdec[i]) {
            case '0':
                System.out.print("0000");
                break;
            case '1':
                System.out.print("0001");
                break;
            case '2':
                System.out.print("0010");
                break;
            case '3':
                System.out.print("0011");
                break;
            case '4':
                System.out.print("0100");
                break;
            case '5':
                System.out.print("0101");
                break;
            case '6':
                System.out.print("0110");
                break;
            case '7':
                System.out.print("0111");
                break;
            case '8':
                System.out.print("1000");
                break;
            case '9':
                System.out.print("1001");
                break;
            case 'A':
            case 'a':
                System.out.print("1010");
                break;
            case 'B':
            case 'b':
                System.out.print("1011");
                break;
            case 'C':
            case 'c':
                System.out.print("1100");
                break;
            case 'D':
            case 'd':
                System.out.print("1101");
                break;
            case 'E':
            case 'e':
                System.out.print("1110");
                break;
            case 'F':
            case 'f':
                System.out.print("1111");
                break;
            default:
                System.out.print("\nInvalid hexadecimal digit " + hexdec[i]);
            }
            i++;
        }
    }
  
    // Driver code
    public static void main(String args[])
    {
        // Get the Hexadecimal number
        String s = "1AC5" ;
        char hexdec[] = new char[100] ;
            hexdec = s.toCharArray() ;
  
        // Convert HexaDecimal to Binary
        System.out.print("\nEquivalent Binary value is : ");
        try{
            HexToBin(hexdec);
        }
        catch (ArrayIndexOutOfBoundsException e){
            System.out.print("");
        }
  
    }
    // This code is contributed by ANKITRAI1
}
  

chevron_right


C#

filter_none

edit
close

play_arrow

link
brightness_4
code

// C# program to convert Hexadecimal 
// number to Binary
  
class GFG 
{
  
// function to convert
// Hexadecimal to Binary Number
static void HexToBin(char[] hexdec)
{
int i = 0;
  
while (hexdec[i] != '\u0000'
{
  
    switch (hexdec[i]) 
    {
    case '0':
        System.Console.Write("0000");
        break;
    case '1':
        System.Console.Write("0001");
        break;
    case '2':
        System.Console.Write("0010");
        break;
    case '3':
        System.Console.Write("0011");
        break;
    case '4':
        System.Console.Write("0100");
        break;
    case '5':
        System.Console.Write("0101");
        break;
    case '6':
        System.Console.Write("0110");
        break;
    case '7':
        System.Console.Write("0111");
        break;
    case '8':
        System.Console.Write("1000");
        break;
    case '9':
        System.Console.Write("1001");
        break;
    case 'A':
    case 'a':
        System.Console.Write("1010");
        break;
    case 'B':
    case 'b':
        System.Console.Write("1011");
        break;
    case 'C':
    case 'c':
        System.Console.Write("1100");
        break;
    case 'D':
    case 'd':
        System.Console.Write("1101");
        break;
    case 'E':
    case 'e':
        System.Console.Write("1110");
        break;
    case 'F':
    case 'f':
        System.Console.Write("1111");
        break;
    default:
        System.Console.Write("\nInvalid hexadecimal digit "
                                                  hexdec[i]);
        break;
    }
    i++;
}
}
  
// Driver code
static void Main()
{
    // Get the Hexadecimal number
    string s = "1AC5" ;
    char[] hexdec = new char[100];
           hexdec = s.ToCharArray();
  
    // Convert HexaDecimal to Binary
    System.Console.Write("Equivalent Binary value is : ");
    try
    {
        HexToBin(hexdec);
    }
    catch (System.IndexOutOfRangeException)
    {
        System.Console.Write("");
    }
}
}
  
// This code is contributed by mits

chevron_right


PHP

filter_none

edit
close

play_arrow

link
brightness_4
code

<?php
// PHP program to convert
// Hexadecimal number to Binary
  
// function to convert
// Hexadecimal to Binary Number
function HexToBin($hexdec)
{
    $i = 0;
      
    while ($hexdec[$i])
    {
        switch ($hexdec[$i])
        {
        case '0':
            echo "0000";
            break;
        case '1':
            echo "0001";
            break;
        case '2':
            echo "0010";
            break;
        case '3':
            echo "0011";
            break;
        case '4':
            echo "0100";
            break;
        case '5':
            echo "0101";
            break;
        case '6':
            echo "0110";
            break;
        case '7':
            echo "0111";
            break;
        case '8':
            echo "1000";
            break;
        case '9':
            echo "1001";
            break;
        case 'A':
        case 'a':
            echo "1010";
            break;
        case 'B':
        case 'b':
            echo "1011";
            break;
        case 'C':
        case 'c':
            echo "1100";
            break;
        case 'D':
        case 'd':
            echo "1101";
            break;
        case 'E':
        case 'e':
            echo "1110";
            break;
        case 'F':
        case 'f':
            echo "1111";
            break;
        default:
            echo "\nInvalid hexadecimal digit ".
                                    $hexdec[$i];
        }
        $i++;
    }
}
  
// Driver Code
  
// Get the Hexadecimal number
$hexdec = "1AC5";
  
// Convert HexaDecimal to Binary
echo "\nEquivalent Binary value is : ";
HexToBin($hexdec);
  
// This code is contributed 
// by Akanksha Rai

chevron_right


Output:

Equivalent Binary value is : 0001101011000101


Alternate Approach :

Python

filter_none

edit
close

play_arrow

link
brightness_4
code

# Python3 program to convert
# Hexadecimal number to Binary
  
def to4DigitBin(value):
  
    # Converts given binary value into 4-digit 
    # Binary representation.
    # If given value is '10', it returns '0010'
    # i.e. 2 times '0' + '10'='00'+'10'
    return '0'*(4-len(value))+value
   
def HexadecimalToBinary(inputHexadecimal):
    resultBinary = '' # Initialize Empty string
   
    for eachElement in inputHexadecimal:
  
        # If it's a number digit (in 0 to 9), find it's binary form.
        if(eachElement.isdigit()):
  
            # Here bin(number) function returns Binary 
            # representation of number
            # Ex: bin(10) returns '0b1010', so slice away
            # the first 2 characters to get '1010'
            binaryOfSingleDigit = bin(int(eachElement))[2:]
   
            # Now add the 4-digit Binary representation to 
            # result string
            resultBinary += to4DigitBin(binaryOfSingleDigit)
  
        # Since the element is alphabet (in A to E), (assuming 
        # only capital letters)
        # 'ord(element)-65+10' gives the number representation 
        # ranging 10 to 16 (for A to E)
        # Ex: For 'B', ord('B')=66, thus 'ord('B')-65+10' => '
        # 66-65+10' => '11'
        elif(eachElement.isalpha() and ord(eachElement) < 71):
            resultBinary += to4DigitBin(bin(ord(eachElement)-55)[2:])
  
        # If invalid character is present  
        else:            
            resultBinary = 'Invalid hexadecimal digit: ' + eachElement
            break
   
    return 'Equivalent Binary value is: '+ resultBinary
   
# Driver code
inputHexadecimal = '1AC5'   # input('Enter Hexadecimal: ')
print(HexadecimalToBinary(inputHexadecimal))
   
# This code is contributed by SBVKrishna

chevron_right


Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.




My Personal Notes arrow_drop_up

Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.