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| 1 | - | public static String add(String bits1, String bits2){
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| 1 | + | public static String add(String bits1, String bits2) {
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| 2 | - | bits1 = new StringBuilder(bits1).reverse().toString(); |
| 2 | + | int len1 = bits1.length(); |
| 3 | - | bits2 = new StringBuilder(bits2).reverse().toString(); |
| 3 | + | int len2 = bits2.length(); |
| 4 | - | |
| 4 | + | int max = Math.max(len1, len2); |
| 5 | - | StringBuilder result = new StringBuilder(); |
| 5 | + | StringBuilder result = new StringBuilder(1 + max); |
| 6 | - | |
| 6 | + | boolean one = false; |
| 7 | - | char q = '0';//for cases like: (1+1+0)=0 and 1, this (1) is stored in 1 |
| 7 | + | for (int i = 1; i <= max; i++) {
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| 8 | - | for(int i = 0;i < bits1.length();i++){
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| 8 | + | final char c1 = len1 - i >= 0 ? bits1.charAt(len1 - i) : '0'; |
| 9 | - | char bit1 = bits1.charAt(i); |
| 9 | + | final char c2 = len2 - i >= 0 ? bits2.charAt(len2 - i) : '0'; |
| 10 | - | char bit2 = bits2.charAt(i); |
| 10 | + | if (('0' ^ c1) > 1 || ('0' ^ c2) > 1)
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| 11 | - | if(bit1 == '0'){
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| 11 | + | throw new IllegalArgumentException(bits1 + " + " + bits2); |
| 12 | - | if(bit2 == '0'){
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| 12 | + | if (c1 + c2 == 2 * '0') {
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| 13 | - | if(q == '0'){//(0+0+0)=0 and 0
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| 13 | + | result.append(one ? '1' : '0'); |
| 14 | - | result.append('0');
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| 14 | + | one = false; |
| 15 | - | q = '0'; |
| 15 | + | } else if (c1 + c2 == '0' + '1') {
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| 16 | - | }else if(q == '1'){//(0+0+1)=1 and 0
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| 16 | + | result.append(one ? '0' : '1'); |
| 17 | - | result.append('1');
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| 17 | + | } else if (c1 + c2 == 2 * '1') {
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| 18 | - | q = '0'; |
| 18 | + | result.append(one ? '1' : '0'); |
| 19 | - | } |
| 19 | + | one = true; |
| 20 | - | }else if(bit2 == '1'){
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| 20 | + | } else |
| 21 | - | if(q == '0'){//(0+1+0)=1 and 0
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| 21 | + | throw new IllegalArgumentException(bits1 + " + " + bits2); |
| 22 | - | result.append('1');
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| 22 | + | } |
| 23 | - | q = '0'; |
| 23 | + | if (one) |
| 24 | - | }else if(q == '1'){//(0+1+1)=0 and 1
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| 24 | + | result.append('1');
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| 25 | - | result.append('0');
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| 25 | + | return result.reverse().toString(); |
| 26 | - | q = '1'; |
| 26 | + | } |