The hexadecimal number system uses a base of 16. It consists of 16 symbols: the digits 0 - 9 and the letters A - F, where A represents 10, B represents 11, up to F which represents 15. For example, the hexadecimal number 1A
is equivalent to (1\times16^1+10\times16^0 = 26) in the decimal number system.
The binary number system uses a base of 2. It only consists of two symbols: 0 and 1. Each digit in a binary number is called a bit. For example, the binary number 1101
is equivalent to (1\times2^3 + 1\times2^2+0\times2^1 + 1\times2^0=13) in the decimal number system.
To convert a hexadecimal number to binary, we can convert each hexadecimal digit to its 4 - bit binary equivalent. For example, the hex digit A
(which is 10 in decimal) is 1010
in binary.
Integer.toBinaryString
public class HexToBinaryExample {
public static String hexToBinary(String hex) {
// Create a StringBuilder to store the binary result
StringBuilder binary = new StringBuilder();
for (int i = 0; i < hex.length(); i++) {
// Get the current hex digit
char hexDigit = hex.charAt(i);
// Convert the hex digit to an integer
int decimal = Integer.parseInt(String.valueOf(hexDigit), 16);
// Convert the decimal to a 4 - bit binary string
String binaryDigit = String.format("%4s", Integer.toBinaryString(decimal)).replace(' ', '0');
// Append the binary digit to the result
binary.append(binaryDigit);
}
return binary.toString();
}
public static void main(String[] args) {
String hex = "1A";
String binary = hexToBinary(hex);
System.out.println("Hex: " + hex + ", Binary: " + binary);
}
}
In this code, we iterate through each hexadecimal digit in the input string. We convert each digit to its decimal equivalent using Integer.parseInt
with a radix of 16. Then we convert the decimal number to a 4 - bit binary string using Integer.toBinaryString
and String.format
to ensure that each binary digit is 4 bits long. Finally, we append all the binary digits to a StringBuilder
and return the result.
BigInteger
import java.math.BigInteger;
public class HexToBinaryWithBigInteger {
public static String hexToBinary(String hex) {
// Create a BigInteger object from the hex string
BigInteger bigInteger = new BigInteger(hex, 16);
// Convert the BigInteger to a binary string
String binary = bigInteger.toString(2);
// Pad the binary string with leading zeros to ensure correct length
int paddingLength = hex.length() * 4;
while (binary.length() < paddingLength) {
binary = "0" + binary;
}
return binary;
}
public static void main(String[] args) {
String hex = "1A";
String binary = hexToBinary(hex);
System.out.println("Hex: " + hex + ", Binary: " + binary);
}
}
This code uses the BigInteger
class to handle large hexadecimal numbers. We create a BigInteger
object from the hexadecimal string with a radix of 16. Then we convert the BigInteger
to a binary string using the toString(2)
method. Finally, we pad the binary string with leading zeros to ensure that its length is correct.
NumberFormatException
when using methods like Integer.parseInt
or BigInteger
.Integer
may cause overflow. In such cases, BigInteger
should be used, but it comes with a performance overhead.Integer
can be used. For large numbers, use BigInteger
to avoid overflow.YouTube is a great platform to learn about converting hex to binary in Java. There are many tutorials and video lectures available that explain the concepts in a visual and interactive way. You can search for keywords like “Convert Hex to Binary in Java” on YouTube to find relevant videos. Some channels also provide step - by - step coding demonstrations and real - world examples, which can enhance your understanding of the topic.
Converting a hexadecimal number to binary in Java is a fundamental programming task with various real - world applications. By understanding the core concepts, typical usage scenarios, common pitfalls, and best practices, you can write efficient and reliable code for this conversion. Additionally, YouTube can be a valuable resource for learning more about this topic and seeing practical examples in action.
A: Yes, you can. You can use similar techniques like Integer.parseInt
and BigInteger
to convert a binary number to hexadecimal. For example, you can convert the binary string to an integer or BigInteger
and then use the toString(16)
method to get the hexadecimal representation.
A: Most Java methods that convert hexadecimal strings, such as Integer.parseInt
and BigInteger
, are case - insensitive. So, they can handle both uppercase and lowercase hexadecimal letters.
A: Java’s standard library provides methods like Integer.parseInt
, Integer.toBinaryString
, and BigInteger
for number system conversion. There are also third - party libraries available, but for basic conversions, the standard library methods are usually sufficient.