Dado un número hexadecimal, la tarea es convertirlo en un número octal.
Ejemplos:
Input: Hexadecimal = 1AC Output: Binary = 0654 Explanation: Equivalent binary value of 1: 0001 Equivalent binary value of A: 1010 Equivalent binary value of C: 1100 Grouping in terms of 3: 000 110 101 100 Equivalent octal value of 000: 0 Equivalent octal value of 110: 6 Equivalent octal value of 101: 5 Equivalent octal value of 100: 4 Input: Hexadecimal = 5D1F Output: Octal = 56437
Enfoque:
un número hexadecimal es un sistema de numeración posicional con una raíz o base de 16 y utiliza dieciséis símbolos distintos.
Un número octal u oct para abreviar es el número de base 8 y usa los dígitos del 0 al 7. Los números octales se pueden hacer a partir de números binarios agrupando dígitos binarios consecutivos en grupos de tres (comenzando desde la derecha) cuando está antes de la base. punto y si los dígitos binarios están después del punto de base, comience desde la izquierda.
![](https://media.geeksforgeeks.org/wp-content/uploads/20220618132319/hoto-300x205.png)
Conversión de hexadecimal a octal
Pasos de conversión
- Encuentra el número binario equivalente para cada dígito del número hexadecimal dado. Agregue 0 a la izquierda si alguno de los equivalentes binarios es más corto que 4 bits.
- Separe los dígitos binarios en grupos, cada uno con 3 bits o dígitos de derecha a izquierda. Agregue 0 a la izquierda, si el último grupo contiene menos de 3 bits.
- Encuentre el equivalente octal para cada grupo binario.
A continuación se muestra la implementación del enfoque anterior:
C++
// C++ program to convert // Hexadecimal to Octal #include <bits/stdc++.h> using namespace std; // Function to convert HexaDecimal to Binary long long int hex_to_bin(char hex[]) { long long int bin, place; int i = 0, rem, val; bin = 0ll; place = 0ll; // Hexadecimal to binary conversion for (i = 0; hex[i] != '\0'; i++) { bin = bin * place; switch (hex[i]) { case '0': bin += 0; break; case '1': bin += 1; break; case '2': bin += 10; break; case '3': bin += 11; break; case '4': bin += 100; break; case '5': bin += 101; break; case '6': bin += 110; break; case '7': bin += 111; break; case '8': bin += 1000; break; case '9': bin += 1001; break; case 'a': case 'A': bin += 1010; break; case 'b': case 'B': bin += 1011; break; case 'c': case 'C': bin += 1100; break; case 'd': case 'D': bin += 1101; break; case 'e': case 'E': bin += 1110; break; case 'f': case 'F': bin += 1111; break; default: cout << "Invalid hexadecimal input."; } place = 10000; } return bin; } // Function to convert Binary to Octal long long int bin_to_oct(long long bin) { long long int octal, place; int i = 0, rem, val; octal = 0ll; place = 0ll; place = 1; // Binary to octal conversion while (bin > 0) { rem = bin % 1000; switch (rem) { case 0: val = 0; break; case 1: val = 1; break; case 10: val = 2; break; case 11: val = 3; break; case 100: val = 4; break; case 101: val = 5; break; case 110: val = 6; break; case 111: val = 7; break; } octal = (val * place) + octal; bin /= 1000; place *= 10; } return octal; } // Function to Convert // Hexadecimal Number to Octal Number long long int hex_to_oct(char hex[]) { long long int octal, bin; // convert HexaDecimal to Binary bin = hex_to_bin(hex); // convert Binary to Octal octal = bin_to_oct(bin); return octal; } // driver code int main() { // Get the hexadecimal number char hex[20] = "1AC"; // convert hexadecimal to octal cout << "Equivalent Octal Value = " << hex_to_oct(hex); return 0; } //This code is contributed by shubhamsingh10
C
// C program to convert // Hexadecimal to Octal #include <math.h> #include <stdio.h> #include <string.h> // Function to convert HexaDecimal to Binary long long int hex_to_bin(char hex[]) { long long int bin, place; int i = 0, rem, val; bin = 0ll; place = 0ll; // Hexadecimal to binary conversion for (i = 0; hex[i] != '\0'; i++) { bin = bin * place; switch (hex[i]) { case '0': bin += 0; break; case '1': bin += 1; break; case '2': bin += 10; break; case '3': bin += 11; break; case '4': bin += 100; break; case '5': bin += 101; break; case '6': bin += 110; break; case '7': bin += 111; break; case '8': bin += 1000; break; case '9': bin += 1001; break; case 'a': case 'A': bin += 1010; break; case 'b': case 'B': bin += 1011; break; case 'c': case 'C': bin += 1100; break; case 'd': case 'D': bin += 1101; break; case 'e': case 'E': bin += 1110; break; case 'f': case 'F': bin += 1111; break; default: printf("Invalid hexadecimal input."); } place = 10000; } return bin; } // Function to convert Binary to Octal long long int bin_to_oct(long long bin) { long long int octal, place; int i = 0, rem, val; octal = 0ll; place = 0ll; place = 1; // Binary to octal conversion while (bin > 0) { rem = bin % 1000; switch (rem) { case 0: val = 0; break; case 1: val = 1; break; case 10: val = 2; break; case 11: val = 3; break; case 100: val = 4; break; case 101: val = 5; break; case 110: val = 6; break; case 111: val = 7; break; } octal = (val * place) + octal; bin /= 1000; place *= 10; } return octal; } // Function to Convert // Hexadecimal Number to Octal Number long long int hex_to_oct(char hex[]) { long long int octal, bin; // convert HexaDecimal to Binary bin = hex_to_bin(hex); // convert Binary to Octal octal = bin_to_oct(bin); return octal; } // driver code int main() { // Get the hexadecimal number char hex[20] = "1AC"; // convert hexadecimal to octal printf("Equivalent Octal Value = %lld", hex_to_oct(hex)); return 0; }
Java
// Java program to convert // Hexadecimal to Octal class hex_to_oct { // declaring main method. public static void main(String[] args) { int dec = 0; // taking 1AC as an example of hexadecimal Number. String hexa = "1AC"; int c = hexa.length() - 1; // finding the decimal equivalent of the // hexa decimal number for(int i = 0; i < hexa.length() ; i ++ ) { //extracting each character from the string. char ch = hexa.charAt(i); switch (ch) { case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9': dec = dec + Integer.parseInt(Character.toString(ch))* (int)Math.pow(16,c); c--; break; case 'a': case 'A': dec = dec + 10 * (int)Math.pow(16, c); c--; break; case 'b': case 'B': dec = dec + 11 * (int)Math.pow(16, c); c--; break; case 'c': case 'C': dec = dec + 12 * (int)Math.pow(16, c); c--; break; case 'd': case 'D': dec = dec + 13 * (int)Math.pow(16, c); c--; break; case 'e': case 'E': dec = dec + 14 * (int)Math.pow(16, c); c--; break; case 'f': case 'F': dec = dec + 15 * (int)Math.pow(16, c); c--; break; default: System.out.println("Invalid hexa input"); break; } } // String oct to store the octal equivalent of a hexadecimal number. String oct =""; //converting decimal to octal number. while(dec > 0) { oct = dec % 8 + oct; dec = dec / 8; } // Printing the final output. System.out.println("Equivalent Octal Value = "+oct); } } // This code is contributed by Animesh_Gupta
Python
# importing math package import math hex = "1AC" # variable oct to store # octal equivalent of hexa decimal # number returned from the method oct = "" dec = i = 0 c = len(hex) - 1 # loop to extract each digit of number while i < len(hex): # digit extracted d = hex[i] if d == '0' or d == '1' or d == '2' or \ d == '3' or d == '4' or d == '5': dec = dec + int(d) * int(math.pow(16, c)) elif d == '6' or d == '7' or d == '8' or d == '9': dec = dec + int(d) * int(math.pow(16, c)) elif (d == 'A') or (d == 'a'): dec = dec + 10 * int(math.pow(16, c)) elif (d == 'B') or (d == 'b'): dec = dec + 11 * int(math.pow(16, c)) elif (d == 'C') or (d == 'c'): dec = dec + 12 * int(math.pow(16, c)) elif (d == 'D') or (d == 'd'): dec = dec + 13 * int(math.pow(16, c)) elif (d == 'E') or (d == 'e'): dec = dec + 14 * int(math.pow(16, c)) elif (d == 'F') or (d == 'f'): dec = dec + 15 * int(math.pow(16, c)) else: print("invalid input") break i+= 1 c -= 1 # loop to find octal equivalent # stored in dec i.e. # conversion of decimal to octal. while (dec > 0): oct = "".join([str(int(dec % 8)) , oct]) dec = int(dec / 8) # printing the final result print("Equivalent Octal Value =",oct) # This code is contributed by 29AjayKumar
C#
// C# program to convert // Hexadecimal to Octal using System; class GFG{ // Driver code public static void Main(string[] args) { int dec = 0; // taking 1AC as an example // of hexadecimal Number. string hexa = "1AC"; int c = hexa.Length - 1; // Finding the decimal // equivalent of the // hexa decimal number for(int i = 0; i < hexa.Length ; i ++ ) { // Extracting each character // from the string. char ch = hexa[i]; switch (ch) { case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9': dec = dec + Int32.Parse(ch.ToString())* (int)Math.Pow(16, c); c--; break; case 'a': case 'A': dec = dec + 10 * (int)Math.Pow(16, c); c--; break; case 'b': case 'B': dec = dec + 11 * (int)Math.Pow(16, c); c--; break; case 'c': case 'C': dec = dec + 12 * (int)Math.Pow(16, c); c--; break; case 'd': case 'D': dec = dec + 13 * (int)Math.Pow(16, c); c--; break; case 'e': case 'E': dec = dec + 14 * (int)Math.Pow(16, c); c--; break; case 'f': case 'F': dec = dec + 15 * (int)Math.Pow(16, c); c--; break; default: Console.Write("Invalid hexa input"); break; } } // String oct to store the octal // equivalent of a hexadecimal number. string oct = ""; // converting decimal // to octal number. while(dec > 0) { oct = dec % 8 + oct; dec = dec / 8; } // Printing the final output. Console.Write("Equivalent Octal Value = " + oct); } } // This code is contributed by rutvik_56
Javascript
// JavaScript program to convert // Hexadecimal to Octal // Function to convert HexaDecimal to Binary function hex_to_bin(hex) { var bin, place; var i = 0, rem, val; bin = 0; place = 0; // Hexadecimal to binary conversion for (i = 0; i < hex.length; i++) { bin = bin * place; switch (hex[i]) { case '0': bin += 0; break; case '1': bin += 1; break; case '2': bin += 10; break; case '3': bin += 11; break; case '4': bin += 100; break; case '5': bin += 101; break; case '6': bin += 110; break; case '7': bin += 111; break; case '8': bin += 1000; break; case '9': bin += 1001; break; case 'a': case 'A': bin += 1010; break; case 'b': case 'B': bin += 1011; break; case 'c': case 'C': bin += 1100; break; case 'd': case 'D': bin += 1101; break; case 'e': case 'E': bin += 1110; break; case 'f': case 'F': bin += 1111; break; default: console.log("Invalid hexadecimal input."); } place = 10000; } return bin; } // Function to convert Binary to Octal function bin_to_oct(bin) { var octal, place; var i = 0, rem, val; octal = 0; place = 0; place = 1; // Binary to octal conversion while (bin > 0) { rem = bin % 1000; switch (rem) { case 0: val = 0; break; case 1: val = 1; break; case 10: val = 2; break; case 11: val = 3; break; case 100: val = 4; break; case 101: val = 5; break; case 110: val = 6; break; case 111: val = 7; break; } octal = (val * place) + octal; bin = Math.floor(bin/1000); place *= 10; } return octal; } // Function to Convert // Hexadecimal Number to Octal Number function hex_to_oct(hex) { var octal, bin; // convert HexaDecimal to Binary bin = hex_to_bin(hex); // convert Binary to Octal octal = bin_to_oct(bin); return octal; } // driver code // Get the hexadecimal number var hex = "1AC"; // convert hexadecimal to octal console.log("Equivalent Octal Value = " + hex_to_oct(hex)); // This code is contributed by phasing17
Equivalent Octal Value = 654
Publicación traducida automáticamente
Artículo escrito por Kanishk_Verma y traducido por Barcelona Geeks. The original can be accessed here. Licence: CCBY-SA