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A real example of parallel execution of sequential programs in a multi-core architecture might be the addition of two matrices...

double a[1000,1000];

double b[1000,1000];

double c[1000,1000];

int i, j;

for (i=0; i<1000; i++) for (j=0; j<1000; j++) c[i,j] = a[i,j] + b[i,j];

...Since each of these 1000000 additions are independent of each other, they could easily be dispatched to multiple threads and run on multiple cores...

for (i1=0; i1<1000; i1+=4) for (j1=0; j1<1000; j1+=4) c[i1,j1] = a[i1,j1] + b[i1,j1];

for (i2=1; i2<1000; i2+=4) for (j2=0; j2<1000; j2+=4) c[i2,j2] = a[i2,j2] + b[i2,j2];

for (i3=2; i3<1000; i3+=4) for (j3=0; j3<1000; j3+=4) c[i3,j3] = a[i3,j3] + b[i3,j3];

for (i4=3; i4<1000; i4+=4) for (j4=0; j4<1000; j4+=4) c[i4,j4] = a[i4,j4] + b[i4,j4];

...with each for loop running in its own thread/core. In fact, most modern optimizing compilers, at the higher optimzation levels, is quite capable of doing this on its own, because they analyze the code and break apart things that can run in different threads automatically.

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Q: Can anybody provide you the real example of parallel execution of sequential programs in multi-core architecture?
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