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Program to Convert Hexadecimal Number to Binary
  • Last Updated : 07 Nov, 2020

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




// 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;
}

C




// 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);
}

Java




// 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
}

Python3




# Python3 program to convert
# Hexadecimal number to Binary
 
# Function to convert
# Hexadecimal to Binary Number
def HexToBin(hexdec):
  
    for i in hexdec:       
        if i == '0':
            print('0000', end = '')
        elif i == '1':
            print('0001', end = '')
        elif i == '2':
            print('0010', end = '')
        elif i == '3':
            print('0011', end = '')
        elif i == '4':
            print('0100', end = '')
        elif i == '5':
            print('0101', end = '')
        elif i == '6':
            print('0110', end = '')
        elif i == '7':
            print('0111', end = '')
        elif i == '8':
            print('1000', end = '')
        elif i == '9':
            print('1001', end = '')
        elif i == 'A' or i == 'a':
            print('1010', end = '')
        elif i == 'B' or i == 'b':
            print('1011', end = '')
        elif i == 'C' or i == 'c':
            print('1100', end = '')
        elif i == 'D' or i == 'd':
            print('1101', end = '')
        elif i == 'E' or i == 'e':
            print('1110', end = '')
        elif i == 'F' or i == 'f':
            print('1111', end = '')
        else:
            print("\nInvalid hexadecimal digit " +
                    str(hexdec[i]), end = '')
             
# Driver code
if __name__=="__main__":
     
    # Get the Hexadecimal number
    hexdec= "1AC5";
  
    # Convert HexaDecimal to Binary
    print("Equivalent Binary value is : ",
           end = '')
    HexToBin(hexdec)
     
# This code is contributed by Rutvik_56

C#




// 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

PHP




<?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
Output: 
Equivalent Binary value is : 0001101011000101


 

Alternate Approach : 
 

Python




# 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

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