Skip to content
Related Articles

Related Articles

Improve Article

Largest and Smallest N-digit Hexadecimal Numbers

  • Last Updated : 19 May, 2021
Geek Week

Given an integer N, the task is to find the smallest and largest N-digit numbers Hexa-Decimal Number System.

Examples: 

Input: N = 4 
Output: 
Largest: FFFF 
Smallest: 1000

Input: N = 2 
Output: 
Largest: FF 
Smallest: 10 

Approach: The following steps can be followed to complete the required answer: 



  • Largest Number: To get the largest number, every digit of the number must be maximum. The maximum digit in the Hexa-Decimal number system is ‘F‘. Therefore: 
1 Digit Largest Number: 'F'
2 Digit Largest Number: 'FF'
3 Digit Largest Number: 'FFF'
                .
                .
                .
N Digit Largest Number: 'FFF....(N) times'
  • Smallest Number: The smallest number in hexadecimal numbers is ‘0‘. The idea is that the first digit needs to be as minimal as possible other than 0 which is ‘1’ and the remaining digits need to be 0. Therefore: 
1 Digit Smallest Number: '1'
2 Digit Smallest Number: '10'
3 Digit Smallest Number: '100'
                .
                .
                .
N Digit Smallest Number: '100....(N - 1) times'

Below is the implementation of the above approach: 

C++




// C++ program to find the largest
// and smallest N-digit numbers
// in Hexa-Decimal Number System
 
#include <bits/stdc++.h>
using namespace std;
 
// Function to return the largest
// N-digit number in Hexa-Decimal
// Number System
string findLargest(int N)
{
    // Append 'F' N times
    string largest = string(N, 'F');
 
    return largest;
}
 
// Function to return the smallest
// N-digit number in Hexa-Decimal
// Number System
string findSmallest(int N)
{
    // Append '0' (N - 1) times to 1
    string smallest = "1" + string((N - 1), '0');
 
    return smallest;
}
 
// Function to print the largest and smallest
// N-digit Hexa-Decimal number
void print(int largest)
{
    cout << "Largest: " << findLargest(largest) << endl;
    cout << "Smallest: " << findSmallest(largest) << endl;
}
 
// Driver code
int main()
{
 
    int N = 4;
    print(N);
 
    return 0;
}

Java




// Java program to find the largest
// and smallest N-digit numbers
// in Hexa-Decimal Number System
class GFG {
     
    // Function to return the largest
    // N-digit number in Hexa-Decimal
    // Number System
    static String findLargest(int N)
    {
         
        String largest = "";
        // Append 'F' N times
        for (int i = 0; i < N ; i++)
            largest += 'F';
     
        return largest;
    }
     
    // Function to return the smallest
    // N-digit number in Hexa-Decimal
    // Number System
    static String findSmallest(int N)
    {
         
        String smallest = "1" ;
        // Append '0' (N - 1) times to 1
        for(int i = 0; i < N - 1; i++)
            smallest += '0';
     
        return smallest;
    }
     
    // Function to print the largest and smallest
    // N-digit Hexa-Decimal number
    static void print(int largest)
    {
        System.out.println("Largest: " + findLargest(largest)) ;
        System.out.println("Smallest: " + findSmallest(largest)) ;
    }
     
    // Driver code
    public static void main (String[] args)
    {
     
        int N = 4;
        print(N);
     
    }
}
 
// This code is contributed by AnkitRai01

Python3




# Python3 program to find the largest
# and smallest N-digit numbers
# in Hexa-Decimal Number System
 
# Function to return the largest
# N-digit number in Hexa-Decimal
# Number System
def findLargest(N) :
 
    # Append 'F' N times
    largest = 'F'*N
 
    return largest;
 
# Function to return the smallest
# N-digit number in Hexa-Decimal
# Number System
def findSmallest(N) :
 
    # Append '0' (N - 1) times to 1
    smallest = '1' + '0'*(N - 1)
 
    return smallest;
 
# Function to print the largest and smallest
# N-digit Hexa-Decimal number
def printAns(largest) :
 
    print("Largest: " , findLargest(largest));
    print("Smallest: " , findSmallest(largest));
 
# Driver code
if __name__ == "__main__" :
 
    N = 4;
    printAns(N);
 
# This code is contributed by AnkitRai01

C#




// C# program to find the largest
// and smallest N-digit numbers
// in Hexa-Decimal Number System
using System;
 
class GFG {
     
    // Function to return the largest
    // N-digit number in Hexa-Decimal
    // Number System
    static string findLargest(int N)
    {
         
        string largest = "";
         
        // Append 'F' N times
        for (int i = 0; i < N ; i++)
            largest += 'F';
     
        return largest;
    }
     
    // Function to return the smallest
    // N-digit number in Hexa-Decimal
    // Number System
    static string findSmallest(int N)
    {
         
        string smallest = "1" ;
         
        // Append '0' (N - 1) times to 1
        for(int i = 0; i < N - 1; i++)
            smallest += '0';
     
        return smallest;
    }
     
    // Function to print the largest and smallest
    // N-digit Hexa-Decimal number
    static void print(int largest)
    {
        Console.WriteLine("Largest: " +
                    findLargest(largest)) ;
        Console.WriteLine("Smallest: " +
                    findSmallest(largest)) ;
    }
     
    // Driver code
    public static void Main(string[] args)
    {
        int N = 4;
        print(N);
    }
}
 
// This code is contributed by AnkitRai01

Javascript




<script>
// Javascipt implementation of the
// above approach
 
// Function to return the largest
// N-digit number in Hexa-Decimal
// Number System
function findLargest(N)
{
    // Append 'F' N times "a".repeat(10)
    var largest = "F".repeat(N);
   
    return largest;
}
   
// Function to return the smallest
// N-digit number in Hexa-Decimal
// Number System
function findSmallest(N)
{
    // Append '0' (N - 1) times to 1
    var smallest = "1" + "0".repeat(N-1);
   
    return smallest;
}
   
// Function to print the largest and smallest
// N-digit Hexa-Decimal number
function print(largest)
{
    document.write("Largest: " + findLargest(largest) + "<br>");
    document.write("Smallest: " + findSmallest(largest) + "<br>");
}
 
// Driver code
var N = 4;
print(N);
 
// This code is contributed by Shivanisingh
</script>
Output: 
Largest: FFFF
Smallest: 1000

 

Time Complexity: O(N) where N is the length of the string.
 

Attention reader! All those who say programming isn’t for kids, just haven’t met the right mentors yet. Join the  Demo Class for First Step to Coding Coursespecifically designed for students of class 8 to 12. 

The students will get to learn more about the world of programming in these free classes which will definitely help them in making a wise career choice in the future.




My Personal Notes arrow_drop_up
Recommended Articles
Page :