C++ 程序将二进制数转换为八进制数，反之亦然
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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 |
|---|---|
| 01010 | 12 |
| 00111 | 7 |
| 11001 | 31 |
| 10000 | 20 |
将二进制数转换为八进制数，将八进制数转换为二进制数的程序如下 −
示例
#include <iostream>
#include <cmath>
using namespace std;
int BinarytoOctal(int binaryNum) {
int octalNum = 0, decimalNum = 0, count = 0;
while(binaryNum != 0) {
decimalNum += (binaryNum%10) * pow(2,count);
++count;
binaryNum/=10;
}
count = 1;
while (decimalNum != 0) {
octalNum += (decimalNum % 8) * count;
decimalNum /= 8;
count *= 10;
}
return octalNum;
}
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 binaryNum = 1011, octalNum = 25;
cout <<"Binary to Octal"<<endl;
cout<<"Binary number: "<<binaryNum<<endl;
cout<<"Octal number: "<<BinarytoOctal(binaryNum)<<endl;
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 −
Binary to Octal Binary number: 1011 Octal number: 13 Octal to Binary Octal number: 25 Binary number: 10101
在上面的程序中，有两个函数 BinaryToOctal() 和 OctalToBinary()。
BinaryToOctal() 将给定的二进制数转换为八进制数。这是通过首先将二进制数转换为十进制数，然后将十进制数转换为八进制数来实现的。这在以下代码片段中可见−
int BinaryToOctal(int binaryNum) {
int octalNum = 0, decimalNum = 0, count = 0;
while(binaryNum != 0) {
decimalNum += (binaryNum%10) * pow(2,count);
++count;
binaryNum/=10;
}
count = 1;
while (decimalNum != 0) {
octalNum += (decimalNum % 8) * count;
decimalNum /= 8;
count *= 10;
}
return octalNum;
}
OctalToBinary() 将给定的八进制数转换为二进制数。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。如以下代码片段所示 −
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;
}
在函数 main() 中，给出了二进制数和八进制数。然后分别通过调用 BinaryToOctal() 和 OctalToBinary() 来计算它们对应的八进制数和二进制数。如下所示 −
int main() {
int binaryNum = 1011, octalNum = 25;
cout <<"Binary to Octal"<<endl;
cout<<"Binary number: "<<binaryNum<<endl;
cout<<"Octal number: "<<BinarytoOctal(binaryNum)<<endl;
cout <<"Octal to Binary"<<endl;
cout<<"Octal number: "<<octalNum<<endl;
cout<<"Binary number: "<<OctalToBinary(octalNum)<<endl;
return 0;
}
