用C语言编写一个程序，该程序需要接收用户输入的十进制整数，将其转换为二进制表示，并计算其二进制数的补码，最后输出输入十进制的二进制和二进制补码。 要明确描述十进制到二进制的转换算法以及补码的计算方法，并在代码中提供详细的注释以解释逻辑和每个代码段的目的。注释这一部分用英语描述

#include <stdio.h>
#include <math.h>

// Function to convert decimal to binary
void decToBin(int num) {
int binaryNum[32], i = 0;
if (num == 0)
printf("Binary representation of 0 is 0.\n");
else {
while (num > 0) {
binaryNum[i] = num % 2; // Get the remainder after dividing by 2
num = num / 2; // Shift the number to the left
i++;
}
printf("Binary representation of %d is ", num);
for (int j = i - 1; j >= 0; j--)
printf("%d", binaryNum[j]);
printf("\n");
}
}

// Function to calculate two's complement (for negative numbers)
int twosComplement(int num, int size) {
if (num &amp; (1 << (size - 1))) // If the most significant bit is set (negative)
return num + 1 << size; // Add one and shift left
else
return num; // For positive numbers or zero
}

int main() {
int decimalNum, bits;

// Ask user for input
printf("Enter a decimal integer: ");
scanf("%d", &amp;decimalNum);

// Calculate the number of bits needed for the binary representation
bits = sizeof(decimalNum) * CHAR_BIT;

// Convert decimal to binary and display it
decToBin(decimalNum);

// Calculate two's complement
int complement = twosComplement(decimalNum, bits);

// Display the two's complement
printf("Two's complement of %d in %d bits is %d\n", decimalNum, bits, complement);

return 0;
}
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In this program, we define two functions: decToBin for converting a decimal integer to its binary form using division by 2, and twosComplement for calculating the two's complement of a signed integer.
The main() function prompts the user for a decimal number, gets its size in bits (using CHAR_BIT), converts it to binary, calculates the two's complement, and finally outputs both the binary representation and the complement.
For negative numbers, the two's complement is calculated by flipping all the bits except the sign bit (MSB) and adding 1, while for non-negative numbers, no change is required as they are already represented correctly in the two's complement format.