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: 1000Input: 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 Systemstring 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 Systemstring 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 numbervoid print(int largest){ cout << "Largest: " << findLargest(largest) << endl; cout << "Smallest: " << findSmallest(largest) << endl;}// Driver codeint main(){ int N = 4; print(N); return 0;} |
Java
// Java program to find the largest// and smallest N-digit numbers// in Hexa-Decimal Number Systemclass 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 Systemusing 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>// Javascript 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 codevar 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.
Auxiliary Space: O(1)
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