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Added code of Ones & Twos Complement in BitManipulation #5604

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Oct 9, 2024
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Original file line number Diff line number Diff line change
@@ -0,0 +1,28 @@
package com.thealgorithms.bitmanipulation;

/**
* @author - https://github.com/Monk-AbhinayVerma
* @Wikipedia - https://en.wikipedia.org/wiki/Ones%27_complement
* The class OnesComplement computes the complement of binary number
* and returns
* the complemented binary string.
* @return the complimented binary string
*/
public final class OnesComplement {
private OnesComplement() {
}

// Function to get the 1's complement of a binary number
public static String onesComplement(String binary) {
StringBuilder complement = new StringBuilder();
// Invert each bit to get the 1's complement
for (int i = 0; i < binary.length(); i++) {
if (binary.charAt(i) == '0') {
complement.append('1');
} else {
complement.append('0');
}
}
return complement.toString();
}
}
Original file line number Diff line number Diff line change
@@ -0,0 +1,41 @@
package com.thealgorithms.bitmanipulation;

/**
* @wikipedia - https://en.wikipedia.org/wiki/Two%27s_complement
* This Algorithm was first suggested by Jon Von Neumann
* @author - https://github.com/Monk-AbhinayVerma
* @return the two's complement of any binary number
*/
public final class TwosComplement {
private TwosComplement() {
}

// Function to get the 2's complement of a binary number
public static String twosComplement(String binary) {
StringBuilder onesComplement = new StringBuilder();
// Step 1: Find the 1's complement (invert the bits)
for (int i = 0; i < binary.length(); i++) {
if (binary.charAt(i) == '0') {
onesComplement.append('1');
} else {
onesComplement.append('0');
}
}
// Step 2: Add 1 to the 1's complement
StringBuilder twosComplement = new StringBuilder(onesComplement);
boolean carry = true;
for (int i = onesComplement.length() - 1; i >= 0; i--) {
if (onesComplement.charAt(i) == '1' && carry) {
twosComplement.setCharAt(i, '0');
} else if (onesComplement.charAt(i) == '0' && carry) {
twosComplement.setCharAt(i, '1');
carry = false;
}
}
// If there is still a carry, append '1' at the beginning
if (carry) {
twosComplement.insert(0, '1');
}
return twosComplement.toString();
}
}
Original file line number Diff line number Diff line change
@@ -0,0 +1,47 @@
package com.thealgorithms.bitmanipulation;

import static org.junit.jupiter.api.Assertions.assertEquals;

import org.junit.jupiter.api.Test;

/**
* Test case for Highest Set Bit
* @author Abhinay Verma(https://github.com/Monk-AbhinayVerma)
*/
public class OnesComplementTest {

@Test
public void testOnesComplementAllZeroes() {

// Test cases with all-zero binary strings
assertEquals("1111", OnesComplement.onesComplement("0000"));
assertEquals("111", OnesComplement.onesComplement("000"));
assertEquals("11", OnesComplement.onesComplement("00"));
assertEquals("1", OnesComplement.onesComplement("0"));
}

@Test
public void testOnesComplementAllOnes() {
// Test cases with all-one binary strings
assertEquals("0000", OnesComplement.onesComplement("1111"));
assertEquals("000", OnesComplement.onesComplement("111"));
assertEquals("00", OnesComplement.onesComplement("11"));
assertEquals("0", OnesComplement.onesComplement("1"));
}

@Test
public void testOnesComplementMixedBits() {
// Test more mixed binary patterns
assertEquals("1010", OnesComplement.onesComplement("0101"));
assertEquals("0101", OnesComplement.onesComplement("1010"));
assertEquals("1100", OnesComplement.onesComplement("0011"));
assertEquals("0011", OnesComplement.onesComplement("1100"));
assertEquals("1001", OnesComplement.onesComplement("0110"));
}

@Test
public void testOnesComplementEmptyString() {
// Test empty string scenario
assertEquals("", OnesComplement.onesComplement(""));
}
}
Original file line number Diff line number Diff line change
@@ -0,0 +1,54 @@
package com.thealgorithms.bitmanipulation;

import static org.junit.jupiter.api.Assertions.assertEquals;

import org.junit.jupiter.api.Test;

/**
* Test case for Highest Set Bit
* @author Abhinay Verma(https://github.com/Monk-AbhinayVerma)
*/
public class TwosComplementTest {

@Test
public void testTwosComplementAllZeroes() {
// Test with a binary number consisting entirely of zeroes
assertEquals("10000", TwosComplement.twosComplement("0000"));
assertEquals("1000", TwosComplement.twosComplement("000"));
assertEquals("100", TwosComplement.twosComplement("00"));
assertEquals("10", TwosComplement.twosComplement("0"));
}

@Test
public void testTwosComplementAllOnes() {
// Test with a binary number consisting entirely of ones
assertEquals("00001", TwosComplement.twosComplement("11111"));
assertEquals("0001", TwosComplement.twosComplement("1111"));
assertEquals("001", TwosComplement.twosComplement("111"));
assertEquals("01", TwosComplement.twosComplement("11"));
}

@Test
public void testTwosComplementMixedBits() {
// Test with binary numbers with mixed bits
assertEquals("1111", TwosComplement.twosComplement("0001")); // 1's complement: 1110, then add 1: 1111
assertEquals("1001", TwosComplement.twosComplement("0111")); // 1's complement: 1000
assertEquals("11001", TwosComplement.twosComplement("00111")); // 1's complement: 11000, add 1: 11001
assertEquals("011", TwosComplement.twosComplement("101")); // 1's complement: 010, add 1: 011
}

@Test
public void testTwosComplementSingleBit() {
// Test with single bit
assertEquals("10", TwosComplement.twosComplement("0"));
assertEquals("1", TwosComplement.twosComplement("1"));
}

@Test
public void testTwosComplementWithLeadingZeroes() {
// Test with leading zeroes in the input
assertEquals("1111", TwosComplement.twosComplement("0001"));
assertEquals("101", TwosComplement.twosComplement("011"));
assertEquals("110", TwosComplement.twosComplement("010"));
}
}