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leetcode--Add Binary

Given two binary strings, return their sum (also a binary string).

For example,
a = "11"
b = "1"
Return "100".

?
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public class Solution {
    /**The program is used to calculate the sum of two binaries. This is a fundamental problem.<br>
     * @param a --binary string as the first operand
     * @param b --binary string as the second operand
     * @return a string --the sum of binary a and b
     * @author Averill Zheng
     * @version 2014-06-03
     * @since JDK 1.7
     */
    public String addBinary(String a, String b) {
        int lengthOfA = a.length(), lengthOfB = b.length();
        StringBuffer resultBuffer = new StringBuffer();
        int carry = 0;
        while(lengthOfA > 0 && lengthOfB > 0){
            int sum = (a.charAt(lengthOfA - 1) -‘0‘) + (b.charAt(lengthOfB - 1)- ‘0‘) + carry;
            carry = sum / 2;
            resultBuffer.insert(0, sum % 2);
            --lengthOfA;
            --lengthOfB;
        }
        String remaining = (lengthOfA == 0)? b : a;
        int index = (lengthOfA == 0) ? lengthOfB : lengthOfA;
        while(index > 0){
            int sum = (remaining.charAt(index - 1) -‘0‘) + carry;
            carry = sum / 2;
            resultBuffer.insert(0, sum % 2);
            --index;
        }
        if(carry != 0)
            resultBuffer.insert(0, 1);
        return resultBuffer.toString();       
    }
}