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Commit76ac05c

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Added Add Binary
1 parentc329092 commit76ac05c

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4 files changed

+134
-0
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4 files changed

+134
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lines changed
Lines changed: 92 additions & 0 deletions
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classBigInt {
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private:
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string binary;
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// Helper function to ensure strings are the same length
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staticvoidequalizeLength(string& a, string& b) {
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int lengthDifference = a.size() - b.size();
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if (lengthDifference >0)
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b.insert(0, lengthDifference,'0');
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else
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a.insert(0, -lengthDifference,'0');
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}
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// Helper function to remove leading zeros
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voidremoveLeadingZeros() {
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// Erase leading zeros while keeping at least one zero if the number is
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// zero
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auto firstNonZero = binary.find_first_not_of('0');
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if (firstNonZero != string::npos) {
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binary.erase(0, firstNonZero);
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}else {
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binary =
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"0";// Adjust to maintain a minimum representation of zero
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}
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}
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public:
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BigInt() : binary("0") {}
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// Constructor from a binary string
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BigInt(const string& bin) : binary(bin) {removeLeadingZeros(); }
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// Bitwise XOR
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BigIntoperator^(const BigInt& other)const {
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string a = binary;
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string b = other.binary;
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equalizeLength(a, b);
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string result;
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for (size_t i =0; i < a.size(); i++) {
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char xorChar = (a[i] == b[i] ?'0' :'1');
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result.push_back(xorChar);
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}
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returnBigInt(result);
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}
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// Bitwise AND
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BigIntoperator&(const BigInt& other)const {
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string a = binary;
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string b = other.binary;
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equalizeLength(a, b);
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string result;
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for (size_t i =0; i < a.size(); i++) {
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char andChar = (a[i] =='1' && b[i] =='1' ?'1' :'0');
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result.push_back(andChar);
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}
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returnBigInt(result);
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}
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// Left shift
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BigIntoperator<<(int shift)const {
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string result = binary;
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result.append(shift,'0');
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returnBigInt(result);
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}
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// Check if BigInt is zero
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boolisZero()const {
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for (char c : binary)
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if (c !='0')returnfalse;
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returntrue;
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}
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// Getter for binary string
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stringgetBinary()const {return binary; }
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};
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classSolution {
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public:
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stringaddBinary(string a, string b) {
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BigIntx(a);
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BigInty(b);
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BigInt carry, answer;
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while (!y.isZero()) {
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answer = x ^ y;
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carry = (x & y) <<1;
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x = answer;
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y = carry;
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}
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return x.getBinary();
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}
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};
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importjava.math.BigInteger;
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publicclassSolution {
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publicStringaddBinary(Stringa,Stringb) {
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BigIntegerx =newBigInteger(a,2);
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BigIntegery =newBigInteger(b,2);
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while (y.compareTo(BigInteger.ZERO) !=0) {
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BigIntegeranswer =x.xor(y);
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BigIntegercarry =x.and(y).shiftLeft(1);
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x =answer;
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y =carry;
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}
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returnx.toString(2);
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}
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}
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varaddBinary=function(a,b){
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letx=BigInt("0b"+a);
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lety=BigInt("0b"+b);
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while(y!==0n){
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letanswer=x^y;
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letcarry=(x&y)<<1n;
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x=answer;
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y=carry;
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}
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returnx.toString(2);
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};
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classSolution:
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defaddBinary(self,a,b)->str:
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x,y=int(a,2),int(b,2)
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whiley:
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answer=x^y
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carry= (x&y)<<1
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x,y=answer,carry
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returnbin(x)[2:]
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# Time: O(A + B)
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# Space: O(max(A, B))

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