#include <iostream>
using namespace std;
void Multiplication( int ( & Multiplicand) [ 64 ] ,int ( & Multiplier) [ 32 ] ,int ( & Product) [ 64 ] ,int Exponent1,int Exponent2,int RemExponent1,int RemExponent2) ;
int ConvertToBinary_Multiplicand( unsigned long long first,int ( & Multiplicand) [ 64 ] ,int & Exponent) ;
int ConvertToBinary_Multiplier( unsigned long long Second,int ( & Multiplier) [ 32 ] ,int & Exponent) ;
int Convert_Fraction_Part_To_Binary( double remainder,int ( & Goku) [ 5 ] ,int & RemainderExp) ;
void UpdateMultiplicand( int ( & DecimalPart) [ 64 ] ,int ( & FractionPart) [ 5 ] ,int Exponent,int RemainderExp,double & remainder) ;
void UpdateMultiplier( int ( & DecimalPart) [ 32 ] ,int ( & FractionPart) [ 5 ] ,int Exponent,int RemainderExp,double & remainder) ;
int main( )
{
int MutiplicandDecimalPart[ 64 ] = { } ,MutiplicandFractionPart[ 5 ] = { } ,MutiplierDecimalPart[ 32 ] = { } ,MutiplierFractionPart[ 5 ] = { } ,Product[ 64 ] = { } ,Multiplicand_Decimal_Exponent= 0 ,Multiplier_Decimal_Exponent= 0 ,Multiplicand_Remainder_Exponent= 0 ,Multiplier_Remainder_Exponent= 0 ;
unsigned long long first,second;
double a,b,MultiplicandRemainder,MultiplierRemainder;
cin >> a;
cin >> b;
first= ( unsigned long long ) a;
second= ( unsigned long long ) b;
MultiplicandRemainder= a- first;
MultiplierRemainder= b- second;
ConvertToBinary_Multiplicand( first,MutiplicandDecimalPart,Multiplicand_Decimal_Exponent) ;
if ( MultiplicandRemainder> 0.0 )
{
Convert_Fraction_Part_To_Binary( MultiplicandRemainder,MutiplicandFractionPart,Multiplicand_Remainder_Exponent) ; // 0.5 ki trha k numbers ka binary find kre ga
}
ConvertToBinary_Multiplier( second,MutiplierDecimalPart,Multiplier_Decimal_Exponent) ;
if ( MultiplierRemainder> 0.0 )
{
Convert_Fraction_Part_To_Binary( MultiplierRemainder,MutiplierFractionPart,Multiplier_Remainder_Exponent) ;
}
UpdateMultiplicand( MutiplicandDecimalPart,MutiplicandFractionPart,Multiplicand_Decimal_Exponent,Multiplicand_Remainder_Exponent,MultiplicandRemainder) ;
UpdateMultiplier( MutiplierDecimalPart,MutiplierFractionPart,Multiplier_Decimal_Exponent,Multiplier_Remainder_Exponent,MultiplicandRemainder) ;
Multiplication( MutiplicandDecimalPart,MutiplierDecimalPart,Product,Multiplicand_Decimal_Exponent,Multiplier_Decimal_Exponent,Multiplicand_Remainder_Exponent,Multiplier_Remainder_Exponent) ;
return 0 ;
}
int ConvertToBinary_Multiplicand( unsigned long long first,int ( & Multiplicand) [ 64 ] ,int & Exponent)
{
// converts the decimal part of multiplicand into binary
for ( Exponent= 0 ; first! = 0 ; Exponent++ )
{
if ( first & 1 )
Multiplicand[ Exponent] = 1 ;
else
Multiplicand[ Exponent] = 0 ;
first>>= 1 ;
}
}
int ConvertToBinary_Multiplier( unsigned long long Second,int ( & Multiplier) [ 32 ] ,int & Exponent)
{
// converts decimal part of multiplier into binary
for ( Exponent= 0 ; Second! = 0 ; Exponent++ )
{
if ( Second & 1 )
Multiplier[ Exponent] = 1 ;
else
Multiplier[ Exponent] = 0 ;
Second>>= 1 ;
}
}
int Convert_Fraction_Part_To_Binary( double remainder,int ( & Goku) [ 5 ] ,int & RemainderExp)
{
// converts fraction parts in to binary
int x= 0 ;
for ( int i= 0 ; i< 5 ; i++ )
{
remainder* = 2 ;
if ( remainder> 1.0 )
{
remainder- = 1.0 ;
Goku[ x] = 1 ;
x++ ;
}
else
if ( remainder< 1.0 )
{
Goku[ x] = 0 ;
x++ ;
}
else
if ( remainder== 1.0 )
{
Goku[ x] = 1 ;
break ;
}
}
RemainderExp= x;
}
void UpdateMultiplicand( int ( & DecimalPart) [ 64 ] ,int ( & FractionPart) [ 5 ] ,int Exponent,int RemainderExp,double & remainder)
{
// Copies the binary bits of fraction part in DecimalPart array
// so that I won't have to handle two arrays separatly for multplication
if ( RemainderExp== 5 )
RemainderExp- = 1 ;
int p= Exponent+ RemainderExp;
if ( remainder> 0.0 )
{
for ( int i= p- 2 ; i>= 0 ; i-- )
{
DecimalPart[ i+ 1 + RemainderExp] = DecimalPart[ i] ;
}
for ( int i= 0 ; i<= RemainderExp; i++ )
{
DecimalPart[ i] = FractionPart[ i] ;
}
}
}
void UpdateMultiplier( int ( & DecimalPart) [ 32 ] ,int ( & FractionPart) [ 5 ] ,int Exponent,int RemainderExp,double & remainder)
{
// Copies the binary bits of fraction part in DecimalPart array
// so that I won't have to handle two arrays separatly for multplication
if ( RemainderExp== 5 )
RemainderExp- = 1 ;
int p= Exponent+ RemainderExp;
if ( remainder> 0.0 )
{
for ( int i= p- 2 ; i>= 0 ; i-- )
{
DecimalPart[ i+ 1 + RemainderExp] = DecimalPart[ i] ;
}
for ( int i= 0 ; i<= RemainderExp; i++ )
{
DecimalPart[ i] = FractionPart[ i] ;
}
}
}
void Multiplication( int ( & Multiplicand) [ 64 ] ,int ( & Multiplier) [ 32 ] ,int ( & Product) [ 64 ] ,int Exponent1,int Exponent2,int RemExponent1,int RemExponent2)
{
// Multiplies binary forms of Multiplicand and multiplier
int i= 0 ,carry= 0 ; bool OneOccuredBefore= false ;
while ( true )
{
if ( Multiplier[ i] ! = 0 ) // multiplier
for ( int j= 0 ; j< 64 ; j++ )
{
const int sum = Product[ j] + Multiplicand[ j] + carry;
Product[ j] = sum % 2 ;
carry= sum / 2 ;
}
for ( int h= 63 ; h>= 0 ; h-- )
{
if ( h== 0 )
{
Multiplicand[ 0 ] = 0 ; // shifting left
}
else
{
Multiplicand[ h] = Multiplicand[ h- 1 ] ;
Multiplicand[ h- 1 ] = 0 ;
}
}
if ( i== 31 )
break ;
i++ ;
}
bool oneOccured= false ;
// then I display the Product array on screen which contains the product.
for ( int i= 63 ; i>= 0 ; i++ )
{
if ( Product[ i] == 1 && oneOccured== false )
cout << Product[ i] ;
else
if ( oneOccured== true )
cout << Product[ i] ;
}
}
#include <iostream>

using namespace std;

void Multiplication(int (&Multiplicand)[64],int (&Multiplier)[32],int (&Product)[64],int Exponent1,int Exponent2,int RemExponent1,int RemExponent2);
int ConvertToBinary_Multiplicand(unsigned long long first,int (&Multiplicand)[64],int &Exponent);
int ConvertToBinary_Multiplier(unsigned long long Second,int (&Multiplier)[32],int &Exponent);
int Convert_Fraction_Part_To_Binary(double remainder,int (&Goku)[5],int &RemainderExp);
void UpdateMultiplicand(int (&DecimalPart)[64],int (&FractionPart)[5],int Exponent,int RemainderExp,double &remainder);
void UpdateMultiplier(int (&DecimalPart)[32],int (&FractionPart)[5],int Exponent,int RemainderExp,double &remainder);
 
 
int main()
{
    int MutiplicandDecimalPart[64]={},MutiplicandFractionPart[5]={},MutiplierDecimalPart[32]={},MutiplierFractionPart[5]={},Product[64]={},Multiplicand_Decimal_Exponent=0,Multiplier_Decimal_Exponent=0,Multiplicand_Remainder_Exponent=0,Multiplier_Remainder_Exponent=0;
        unsigned long long first,second;
        double a,b,MultiplicandRemainder,MultiplierRemainder;
 
        cin>> a;
        cin>>b;
        first=(unsigned long long) a;
        second=(unsigned long long) b;
 
        MultiplicandRemainder=a-first;
        MultiplierRemainder=b-second;
 
 
 
        ConvertToBinary_Multiplicand(first,MutiplicandDecimalPart,Multiplicand_Decimal_Exponent);
 
        if(MultiplicandRemainder>0.0)
        {
                Convert_Fraction_Part_To_Binary(MultiplicandRemainder,MutiplicandFractionPart,Multiplicand_Remainder_Exponent); // 0.5 ki trha k numbers ka binary find kre ga
        }
 
 
        ConvertToBinary_Multiplier(second,MutiplierDecimalPart,Multiplier_Decimal_Exponent);
 
        if(MultiplierRemainder>0.0)
        {
                Convert_Fraction_Part_To_Binary(MultiplierRemainder,MutiplierFractionPart,Multiplier_Remainder_Exponent);
        }
 
        UpdateMultiplicand(MutiplicandDecimalPart,MutiplicandFractionPart,Multiplicand_Decimal_Exponent,Multiplicand_Remainder_Exponent,MultiplicandRemainder);
        
        UpdateMultiplier(MutiplierDecimalPart,MutiplierFractionPart,Multiplier_Decimal_Exponent,Multiplier_Remainder_Exponent,MultiplicandRemainder);
 
 
        Multiplication(MutiplicandDecimalPart,MutiplierDecimalPart,Product,Multiplicand_Decimal_Exponent,Multiplier_Decimal_Exponent,Multiplicand_Remainder_Exponent,Multiplier_Remainder_Exponent);
   
   return 0;
}
 
int ConvertToBinary_Multiplicand(unsigned long long first,int (&Multiplicand)[64],int &Exponent)
{
    // converts the decimal part of multiplicand into binary
 
        for(Exponent=0;first!=0;Exponent++)
        {
                if(first & 1)
                        Multiplicand[Exponent]=1;
                else
                        Multiplicand[Exponent]=0;
 
                first>>=1;
        }
}
 
 
int ConvertToBinary_Multiplier(unsigned long long Second,int (&Multiplier)[32],int &Exponent)
{
        // converts decimal part of multiplier into binary
 
        for(Exponent=0;Second!=0;Exponent++)
        {
                if(Second & 1)
                        Multiplier[Exponent]=1;
                else
                        Multiplier[Exponent]=0;
                Second>>=1; 
        }
}
 
 
int Convert_Fraction_Part_To_Binary(double remainder,int (&Goku)[5],int &RemainderExp)
{
        // converts fraction parts in to binary
 
        int x=0;
        for(int i=0;i<5;i++)
        {
                remainder*=2;
 
                if(remainder>1.0)
                {
                        remainder-=1.0;
                        Goku[x]=1;
                        x++;
                }
                else
                        if(remainder<1.0)
                        {
                                Goku[x]=0;
                                x++;
                        }
                        else
                                if(remainder==1.0)
                                {
                                        Goku[x]=1;
                                        break;
                                }
                        
        }
 
           RemainderExp=x;
}
 
 
void UpdateMultiplicand(int (&DecimalPart)[64],int (&FractionPart)[5],int Exponent,int RemainderExp,double &remainder)
{
    // Copies the binary bits of fraction part in DecimalPart array
 
    // so that I won't have to handle two arrays separatly for multplication
 
        if(RemainderExp==5)
                RemainderExp-=1;
 
        int p=Exponent+RemainderExp;
 
        if(remainder>0.0)
        {
                for(int i=p-2;i>=0;i--)
                {
                        DecimalPart[i+1+RemainderExp]=DecimalPart[i];
                }
 
                for(int i=0;i<=RemainderExp;i++)
                {
                        DecimalPart[i]=FractionPart[i];
                }
 
        }
}
 
void UpdateMultiplier(int (&DecimalPart)[32],int (&FractionPart)[5],int Exponent,int RemainderExp,double &remainder)
{
        // Copies the binary bits of fraction part in DecimalPart array
 
    // so that I won't have to handle two arrays separatly for multplication
 
        if(RemainderExp==5)
                RemainderExp-=1;
 
        int p=Exponent+RemainderExp;
 
        if(remainder>0.0)
        {
                for(int i=p-2;i>=0;i--)
                {
                        DecimalPart[i+1+RemainderExp]=DecimalPart[i];
                }
 
                for(int i=0;i<=RemainderExp;i++)
                {
                        DecimalPart[i]=FractionPart[i];
                }
        }
 
}
 
 
void Multiplication(int (&Multiplicand)[64],int (&Multiplier)[32],int (&Product)[64],int Exponent1,int Exponent2,int RemExponent1,int RemExponent2)
{
        // Multiplies binary forms of Multiplicand and multiplier 
 
        int i=0,carry=0;bool OneOccuredBefore=false;
 
        while(true)
        {
                if(Multiplier[i]!=0)// multiplier
                        for(int j=0;j<64;j++)
                        {
 
                                const int sum = Product[j] + Multiplicand[j] + carry;
                                Product[j]=sum % 2;
                                carry=sum / 2;
 
                        }
        
 
                        for(int h=63;h>=0;h--)
                        {
                                if(h==0)
                                {
                                        Multiplicand[0]=0; // shifting left
                                }
                                else
                                {
                                        Multiplicand[h]=Multiplicand[h-1];
                                        Multiplicand[h-1]=0;
                                }
 
                        }
 
                        if(i==31)
                                break;
 
                        i++;
        }
 
    bool oneOccured=false;
// then I display the Product array on screen which contains the product.
 
    for(int i=63;i>=0;i++)
    {
        if(Product[i]==1 && oneOccured==false)
            cout<<Product[i];
        else
            if(oneOccured==true)
                cout<<Product[i];
    }
 
}