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Refactor BCD Conversion docs and add more tests (#5762)
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package com.thealgorithms.bitmanipulation;
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/**
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* This class provides methods to convert between BCD (Binary-Coded Decimal) and binary.
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* This class provides methods to convert between BCD (Binary-Coded Decimal) and decimal numbers.
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*
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* Binary-Coded Decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of binary digits, usually four or eight.
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* BCD is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of binary digits, usually four or eight.
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*
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* For more information, refer to the
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* <a href="https://en.wikipedia.org/wiki/Binary-coded_decimal">Binary-Coded Decimal</a> Wikipedia page.
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*
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* <b>Example usage:</b>
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* <pre>
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* int binary = BcdConversion.bcdToBinary(0x1234);
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* System.out.println("BCD 0x1234 to binary: " + binary); // Output: 1234
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* int decimal = BcdConversion.bcdToDecimal(0x1234);
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* System.out.println("BCD 0x1234 to decimal: " + decimal); // Output: 1234
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*
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* int bcd = BcdConversion.binaryToBcd(1234);
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* System.out.println("Binary 1234 to BCD: " + Integer.toHexString(bcd)); // Output: 0x1234
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* int bcd = BcdConversion.decimalToBcd(1234);
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* System.out.println("Decimal 1234 to BCD: " + Integer.toHexString(bcd)); // Output: 0x1234
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* </pre>
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*/
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public final class BcdConversion {
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private BcdConversion() {
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}
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/**
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* Converts a BCD (Binary-Coded Decimal) number to binary.
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* Converts a BCD (Binary-Coded Decimal) number to a decimal number.
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* <p>Steps:
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* <p>1. Validate the BCD number to ensure all digits are between 0 and 9.
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* <p>2. Extract the last 4 bits (one BCD digit) from the BCD number.
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* <p>3. Multiply the extracted digit by the corresponding power of 10 and add it to the decimal number.
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* <p>4. Shift the BCD number right by 4 bits to process the next BCD digit.
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* <p>5. Repeat steps 1-4 until the BCD number is zero.
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*
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* @param bcd The BCD number.
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* @return The corresponding binary number.
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* @return The corresponding decimal number.
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* @throws IllegalArgumentException if the BCD number contains invalid digits.
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*/
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public static int bcdToBinary(int bcd) {
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int binary = 0;
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public static int bcdToDecimal(int bcd) {
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int decimal = 0;
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int multiplier = 1;
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// Validate BCD digits
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while (bcd > 0) {
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int digit = bcd & 0xF; // Extract the last 4 bits (one BCD digit)
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binary += digit * multiplier;
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multiplier *= 10;
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bcd >>= 4; // Shift right by 4 bits to process the next BCD digit
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int digit = bcd & 0xF;
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if (digit > 9) {
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throw new IllegalArgumentException("Invalid BCD digit: " + digit);
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}
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return binary;
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decimal += digit * multiplier;
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multiplier *= 10;
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bcd >>= 4;
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}
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return decimal;
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}
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/**
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* Converts a binary number to BCD (Binary-Coded Decimal).
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* Converts a decimal number to BCD (Binary-Coded Decimal).
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* <p>Steps:
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* <p>1. Check if the decimal number is within the valid range for BCD (0 to 9999).
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* <p>2. Extract the last decimal digit from the decimal number.
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* <p>3. Shift the digit to the correct BCD position and add it to the BCD number.
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* <p>4. Remove the last decimal digit from the decimal number.
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* <p>5. Repeat steps 2-4 until the decimal number is zero.
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*
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* @param binary The binary number.
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* @param decimal The decimal number.
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* @return The corresponding BCD number.
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* @throws IllegalArgumentException if the decimal number is greater than 9999.
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*/
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public static int binaryToBcd(int binary) {
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public static int decimalToBcd(int decimal) {
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if (decimal < 0 || decimal > 9999) {
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throw new IllegalArgumentException("Value out of bounds for BCD representation: " + decimal);
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}
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int bcd = 0;
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int shift = 0;
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while (binary > 0) {
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int digit = binary % 10; // Extract the last decimal digit
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bcd |= (digit << (shift * 4)); // Shift the digit to the correct BCD position
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binary /= 10; // Remove the last decimal digit
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while (decimal > 0) {
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int digit = decimal % 10;
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bcd |= (digit << (shift * 4));
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decimal /= 10;
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shift++;
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}
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return bcd;
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@ -1,65 +1,85 @@
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package com.thealgorithms.bitmanipulation;
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import static org.junit.jupiter.api.Assertions.assertEquals;
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import static org.junit.jupiter.api.Assertions.assertThrows;
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import org.junit.jupiter.api.Test;
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/**
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* Unit tests for the BcdConversion class.
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*/
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public class BcdConversionTest {
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/**
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* Test the bcdToBinary method with a BCD number.
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*/
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@Test
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public void testBcdToBinary() {
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int binary = BcdConversion.bcdToBinary(0x1234);
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assertEquals(1234, binary); // BCD 0x1234 should convert to binary 1234
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public void testBcdToDecimal() {
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int decimal = BcdConversion.bcdToDecimal(0x1234);
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assertEquals(1234, decimal); // BCD 0x1234 should convert to decimal 1234
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}
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/**
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* Test the binaryToBcd method with a binary number.
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*/
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@Test
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public void testBinaryToBcd() {
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int bcd = BcdConversion.binaryToBcd(1234);
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assertEquals(0x1234, bcd); // Binary 1234 should convert to BCD 0x1234
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public void testDecimalToBcd() {
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int bcd = BcdConversion.decimalToBcd(1234);
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assertEquals(0x1234, bcd); // Decimal 1234 should convert to BCD 0x1234
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}
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/**
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* Test the bcdToBinary method with zero.
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*/
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@Test
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public void testBcdToBinaryZero() {
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int binary = BcdConversion.bcdToBinary(0x0);
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assertEquals(0, binary); // BCD 0x0 should convert to binary 0
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public void testBcdToDecimalZero() {
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int decimal = BcdConversion.bcdToDecimal(0x0);
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assertEquals(0, decimal); // BCD 0x0 should convert to decimal 0
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}
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/**
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* Test the binaryToBcd method with zero.
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*/
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@Test
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public void testBinaryToBcdZero() {
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int bcd = BcdConversion.binaryToBcd(0);
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assertEquals(0x0, bcd); // Binary 0 should convert to BCD 0x0
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public void testDecimalToBcdZero() {
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int bcd = BcdConversion.decimalToBcd(0);
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assertEquals(0x0, bcd); // Decimal 0 should convert to BCD 0x0
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}
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/**
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* Test the bcdToBinary method with a single digit BCD number.
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*/
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@Test
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public void testBcdToBinarySingleDigit() {
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int binary = BcdConversion.bcdToBinary(0x7);
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assertEquals(7, binary); // BCD 0x7 should convert to binary 7
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public void testBcdToDecimalSingleDigit() {
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int decimal = BcdConversion.bcdToDecimal(0x7);
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assertEquals(7, decimal); // BCD 0x7 should convert to decimal 7
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}
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/**
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* Test the binaryToBcd method with a single digit binary number.
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*/
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@Test
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public void testBinaryToBcdSingleDigit() {
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int bcd = BcdConversion.binaryToBcd(7);
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assertEquals(0x7, bcd); // Binary 7 should convert to BCD 0x7
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public void testDecimalToBcdSingleDigit() {
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int bcd = BcdConversion.decimalToBcd(7);
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assertEquals(0x7, bcd); // Decimal 7 should convert to BCD 0x7
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}
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@Test
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public void testBcdToDecimalMaxValue() {
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int decimal = BcdConversion.bcdToDecimal(0x9999);
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assertEquals(9999, decimal); // BCD 0x9999 should convert to decimal 9999
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}
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@Test
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public void testDecimalToBcdMaxValue() {
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int bcd = BcdConversion.decimalToBcd(9999);
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assertEquals(0x9999, bcd); // Decimal 9999 should convert to BCD 0x9999
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}
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@Test
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public void testBcdToDecimalInvalidHighDigit() {
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// Testing invalid BCD input where one of the digits is > 9
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assertThrows(IllegalArgumentException.class, () -> {
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BcdConversion.bcdToDecimal(0x123A); // Invalid BCD, 'A' is not a valid digit
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});
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}
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@Test
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public void testDecimalToBcdInvalidValue() {
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// Testing conversion for numbers greater than 9999, which cannot be represented in BCD
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assertThrows(IllegalArgumentException.class, () -> {
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BcdConversion.decimalToBcd(10000); // 10000 is too large for BCD representation
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});
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}
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@Test
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public void testBcdToDecimalLeadingZeroes() {
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int decimal = BcdConversion.bcdToDecimal(0x0234);
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assertEquals(234, decimal); // BCD 0x0234 should convert to decimal 234, ignoring leading zero
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}
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@Test
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public void testDecimalToBcdLeadingZeroes() {
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int bcd = BcdConversion.decimalToBcd(234);
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assertEquals(0x0234, bcd); // Decimal 234 should convert to BCD 0x0234
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}
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}
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