C语言程序:将十六进制转换为八进制
我们得到一个以字符串形式表示的十六进制数;任务是将其转换为八进制。要将十六进制数转换为八进制,我们需要:
- 找到十六进制数的二进制等价形式。
- 将二进制数转换为八进制。
什么是十六进制数
十六进制数是以16为基数的数字,数字范围从0到9,从10开始,数字表示为A表示10,B表示11,C表示12,D表示13,E表示14,F表示15。
要将十六进制数转换为二进制数,每个数字都转换为其4位的二进制等价形式,然后将这些数字组合起来形成一个对应的二进制数。
什么是八进制数
计算机中的八进制数以8为基数表示,范围为0到7,八进制数由三个二进制数或三个二进制位组成。
我们需要做什么
例如,我们有一个十六进制数1A6,这意味着1、10和6。现在,对于十六进制到八进制的转换,我们首先需要找到十六进制数的二进制等价形式,即:

所以,1A6的二进制表示为:0001 1010 0110
现在,在找到十六进制数的二进制表示后,下一步任务是找到二进制数的八进制表示。
在此之前,我们将二进制数分组为三个一组。分组后,我们将得到000 110 100 110
其八进制表示为:

所以,十六进制数1A6的八进制表示为:646
示例
Input: 1A6 Output: Octal Value = 646 Explanation: Input: 1AA Output: 652
我们将使用的方法来解决给定的问题:
- 获取输入并将其存储为字符串。
- 按照以下方法将十六进制数或表达式转换为二进制:
- 检查所有16种十六进制情况,并添加其相应的二进制表示。
- 返回结果。
- 将二进制数转换为八进制数,请按照以下步骤操作:
- 通过比较二进制数到八进制的所有可能情况,取3位。
- 设置八进制的值 = (val * place) + octal;
- 将二进制数除以1000
- place *= 10
- 返回结果。
算法
Start
Step 1-> In function long long int hexa_binary(char hex[])
Declare variables binary, place
Declare and initialize i = 0, rem, val
Initialize t n = strlen(hex)
Initialize binary = 0ll and place = 0ll
Loop For i = 0 and hex[i] != '\0' and i++ {
binary = binary * place;
switch (hex[i]) {
case '0':
binary += 0
case '1':
binary += 1
case '2':
binary += 10
case '3':
binary += 11
case '4':
binary += 100
case '5':
binary += 101
case '6':
binary += 110
case '7':
binary += 111
case '8':
binary += 1000
case '9':
binary += 1001
case 'a':
case 'A':
binary += 1010
case 'b':
case 'B':
binary += 1011
case 'c':
case 'C':
binary += 1100
case 'd':
case 'D':
binary += 1101;
break;
case 'e':
case 'E':
binary += 1110;
break;
case 'f':
case 'F':
binary += 1111;
break;
default:
printf("Invalid hexadecimal input.");
}
place = 10000;
}
return binary;
}
long long int binary_oct(long long binary) {
long long int octal, place;
int i = 0, rem, val;
octal = 0ll;
place = 0ll;
place = 1;
while (binary > 0) {
rem = binary % 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;
binary /= 1000;
place *= 10;
}
return octal;
}
long long int hexa_oct(char hex[]) {
long long int octal, binary;
// convert HexaDecimal to Binary
binary = hexa_binary(hex);
// convert Binary to Octal
octal = binary_oct(binary);
return octal;
}
int main() {
char hex[20] = "1a99";
printf("Octal Value = %lld", hexa_oct(hex));
return 0;
}示例
#include <stdio.h>
#include <string.h>
#include <math.h>
//To convert hex to binary first
long long int hexa_binary(char hex[]) {
long long int binary, place;
int i = 0, rem, val;
int n = strlen(hex);
binary = 0ll;
place = 0ll;
for (i = 0; hex[i] != '\0'; i++) {
binary = binary * place;
switch (hex[i]) {
case '0':
binary += 0;
break;
case '1':
binary += 1;
break;
case '2':
binary += 10;
break;
case '3':
binary += 11;
break;
case '4':
binary += 100;
break;
case '5':
binary += 101;
break;
case '6':
binary += 110;
break;
case '7':
binary += 111;
break;
case '8':
binary += 1000;
break;
case '9':
binary += 1001;
break;
case 'a':
case 'A':
binary += 1010;
break;
case 'b':
case 'B':
binary += 1011;
break;
case 'c':
case 'C':
binary += 1100;
break;
case 'd':
case 'D':
binary += 1101;
break;
case 'e':
case 'E':
binary += 1110;
break;
case 'f':
case 'F':
binary += 1111;
break;
default:
printf("Invalid hexadecimal input.");
}
place = 10000;
}
return binary;
}
//To convert binary to octal
long long int binary_oct(long long binary) {
long long int octal, place;
int i = 0, rem, val;
octal = 0ll;
place = 0ll;
place = 1;
// giving all binary numbers for octal conversion
while (binary > 0) {
rem = binary % 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;
binary /= 1000;
place *= 10;
}
return octal;
}
// to convert the hexadecimal number to octal
long long int hexa_oct(char hex[]) {
long long int octal, binary;
// convert HexaDecimal to Binary
binary = hexa_binary(hex);
// convert Binary to Octal
octal = binary_oct(binary);
return octal;
}
//main function
int main() {
char hex[20] = "5CD";
printf("Octal Value = %lld", hexa_oct(hex));
return 0;
}输出
Octal Value = 2715
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