C++ 程序将八进制数转换为二进制数

c++programmingserver side programming

在计算机系统中,二进制数以二进制数字系统表示,而八进制数以八进制数字系统表示。二进制数以 2 为基数,而八进制数以 8 为基数。

二进制数及其对应的八进制数的示例如下 −

二进制数八进制数
0110115
001015
1011026
0101012

将八进制数转换为二进制的程序如下 −

示例

#include <iostream>
#include <cmath>
using namespace std;
int OctalToBinary(int octalNum) {
   int decimalNum = 0, binaryNum = 0, count = 0;

   while(octalNum != 0) {
      decimalNum += (octalNum%10) * pow(8,count);
      ++count;
      octalNum/=10;
   }
   count = 1;
   while (decimalNum != 0) {
      binaryNum += (decimalNum % 2) * count;
      decimalNum /= 2;
      count *= 10;
   }
   return binaryNum;
}
int main() {
   int octalNum = 33;
   cout <<"Octal to Binary"<<endl;
   cout<<"Octal number: "<<octalNum<<endl;
   cout<<"Binary number: "<<OctalToBinary(octalNum)<<endl;
   return 0;
}

输出

上述程序的输出如下 −

Octal to Binary
Octal number: 33
Binary number: 11011

在给定的程序中,函数 OctalToBinary() 将给定的八进制数转换为二进制数。这是通过首先将八进制数转换为十进制数,然后将十进制数转换为二进制数来实现的。这在以下代码片段中可见 −

int OctalToBinary(int octalNum) {
   int decimalNum = 0, binaryNum = 0, count = 0;
   while(octalNum != 0) {
      decimalNum += (octalNum%10) * pow(8,count);
      ++count;
      octalNum/=10;
   }
   count = 1;
   while (decimalNum != 0) {
      binaryNum += (decimalNum % 2) * count;
      decimalNum /= 2;
      count *= 10;
   }
   return binaryNum;
}

In the function main(), the octal number is given. Then its corresponding binary number is calculated by calling OctalToBinary(). This is shown below −

int main() {
   int octalNum = 33;
   cout <<"Octal to Binary"<<endl;
   cout<<"Octal number: "<<octalNum<<endl;
   cout<<"Binary number: "<<OctalToBinary(octalNum)<<endl;
   return 0;
}

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