# Program to convert a BCD to Hexa-Decimal Number

Given a BCD (Binary Coded Decimal) Number, the task is to convert this Binary Coded Decimal number to its equivalent Hexa-Decimal Number.

Examples:

Input: 100000101111
Output: 82F
Explanation:
Dividing the number into chunks of 4, it becomes 1000 0010 1111.
Here, 1000 is equivalent to 8,
0010 is equivalent to 2 and
1111 is equivalent to F
Therefore, the number becomes 82F

Input:10101101
Explanation:
Dividing the number into chunks of 4, it becomes 1010 1101.
Here, 1010 is equivalent to A and
1101 is equivalent to D.

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach:

1. Divide the given BCD number into chunks of 4, and start computing its equivalent HexaDecimal form.
2. Store this number formed in a vector.
3. Repeat the process for all the digits of the given BCD number.
4. Print the numbers stored in the vector in reverse order.

Below is the implementation of the above approach:

## C++

 `// C++ code to convert BCD to its ` `// HexaDecimal number(base 16). ` ` `  `// Including Header Files ` `#include ` `using` `namespace` `std; ` ` `  `// Function to convert ` `// BCD to HexaDecimal ` `void` `bcdToHexaDecimal(string s) ` `{ ` `    ``int` `len = s.length(), check = 0; ` `    ``int` `num = 0, sum = 0, mul = 1; ` `    ``vector<``char``> ans; ` ` `  `    ``// Iterating through ` `    ``// the bits backwards ` `    ``for` `(``int` `i = len - 1; i >= 0; i--) { ` `        ``sum += (s[i] - ``'0'``) * mul; ` `        ``mul *= 2; ` `        ``check++; ` ` `  `        ``// Computing the HexaDecimal ` `        ``// Number formed so far ` `        ``// and storing it in a vector. ` `        ``if` `(check == 4 || i == 0) { ` `            ``if` `(sum <= 9) ` `                ``ans.push_back(sum + ``'0'``); ` `            ``else` `                ``ans.push_back(sum + 55); ` ` `  `            ``// Reinitializing all ` `            ``// variables for next group. ` `            ``check = 0; ` `            ``sum = 0; ` `            ``mul = 1; ` `        ``} ` `    ``} ` ` `  `    ``len = ans.size(); ` ` `  `    ``// Printing the Hexadecimal ` `    ``// number formed so far. ` `    ``for` `(``int` `i = len - 1; i >= 0; i--) ` `        ``cout << ans[i]; ` `} ` ` `  `// Driver Code ` `int` `main() ` `{ ` `    ``string s = ``"100000101111"``; ` ` `  `    ``// Function Call ` `    ``bcdToHexaDecimal(s); ` ` `  `    ``return` `0; ` `} `

## Python3

 `# Python3 code to convert BCD to its ` `# hexadecimal number(base 16). ` ` `  `# Function to convert BCD to hexadecimal ` `def` `bcdToHexaDecimal(s): ` `     `  `    ``len1 ``=` `len``(s) ` `    ``check ``=` `0` `    ``num ``=` `0` `    ``sum` `=` `0` `    ``mul ``=` `1` `    ``ans ``=` `[] ` ` `  `    ``# Iterating through the bits backwards ` `    ``i ``=` `len1 ``-` `1` `     `  `    ``while``(i >``=` `0``): ` `        ``sum` `+``=` `(``ord``(s[i]) ``-` `ord``(``'0'``)) ``*` `mul ` `        ``mul ``*``=` `2` `        ``check ``+``=` `1` ` `  `        ``# Computing the hexadecimal number formed  ` `        ``# so far and storing it in a vector. ` `        ``if` `(check ``=``=` `4` `or` `i ``=``=` `0``): ` `             `  `            ``if` `(``sum` `<``=` `9``): ` `                ``ans.append(``chr``(``sum` `+` `ord``(``'0'``))) ` `            ``else``: ` `                ``ans.append(``chr``(``sum` `+` `55``)); ` ` `  `            ``# Reinitializing all variables  ` `            ``# for next group. ` `            ``check ``=` `0` `            ``sum` `=` `0` `            ``mul ``=` `1` `         `  `        ``i ``-``=` `1` `         `  `    ``len1 ``=` `len``(ans) ` ` `  `    ``# Printing the hexadecimal ` `    ``# number formed so far. ` `    ``i ``=` `len1 ``-` `1` `     `  `    ``while``(i >``=` `0``): ` `        ``print``(ans[i], end ``=` `"") ` `        ``i ``-``=` `1` ` `  `# Driver Code ` `if` `__name__ ``=``=` `'__main__'``: ` `     `  `    ``s ``=` `"100000101111"` ` `  `    ``# Function Call ` `    ``bcdToHexaDecimal(s) ` ` `  `# This code is contributed by Samarth `

Output:

```82F
```

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