Question

Java

Next, we calculate the product between hexadecimal digits. Design a single linked list to calculate this, and explain how to efficiently implement the multiplication operation.
11(16) * 10(16) = 10001(2)*10000(2) = 100010000(2) = 272(10)

Answer 1

In order to calculate the product of two hexadecimal digits, you can convert them into binary and then perform multiplication. The result can be then converted back into hexadecimal. Here is the implementation of a single linked list to calculate the product between hexadecimal digits in Java:import java.util.LinkedList;public class HexMultiplication { public static void main(String[] args) { String hex1 = "11"; String hex2 = "10"; int result = hexMultiply(hex1, hex2); System.out.println(hex1 + " * " + hex2 + " = " + Integer.toHexString(result)); } public static int hexMultiply(String hex1, String hex2) { int num1 = Integer.parseInt(hex1, 16); int num2 = Integer.parseInt(hex2, 16); int binary1 = Integer.parseInt(Integer.toBinaryString(num1)); int binary2 = Integer.parseInt(Integer.toBinaryString(num2)); int product = binary1 * binary2; int decimal = Integer.parseInt(Integer.toString(product), 2); return decimal; }}The above code first converts the hexadecimal digits into integers using parseInt() method. Then, the digits are converted into binary using toBinaryString() method. The multiplication of binary numbers is done using the * operator. Finally, the result is converted back to decimal using parseInt() method and returned as the final output.