A chip array maps many local measurements to indexed positions. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A chip maps local measurements to addresses

Each spot is one local measurement address in a simplified array.

spotaddress\text{spot}\rightarrow\text{address}
Chip gridEach spot is an indexed local measurement address.

Rows times columns gives the address count

Rows 4 times columns 3 gives 12 addresses.

43=124\cdot 3=12
Chip gridEach spot is an indexed local measurement address.

Different grid shapes give checked address counts

Rows times columns is the address count. The drawn grid is the middle row.

rowscolsaddresses2484312339\begin{array}{c|c|c}\text{rows}&\text{cols}&\text{addresses}\\2&4&8\\4&3&12\\3&3&9\end{array}
Chip gridEach spot is an indexed local measurement address.