Question

$\text{A is an array}[6\cdots 16,-6\cdots 6]\text{of elements.}$ $\text{The starting location is 500.}$ $\text{Each element occupies 4 memory cells.}$ $\text{Calculate the location of an element}$ $A(8,2)$ $\text{using column major order.}$

• A. 860
• B. 600
• C. 856
• D. 756

Answer 1

The correct option is A 860

option (d)

$\left[\begin{array}{cc}{b}_1{u}_1& b_2{u}_2\\ 6\cdots 16,& -6\cdots 6\end{array}\right]$
$L_0=500,$

$\text{CMO:}\text{loc}A[i,j]=L_0+\left[\right(j-b_1\left)\right(u_1-b_1+1)+(i-b_1\left)\right]\ast CA(8,2)=500+\left[\right(2-(-6)\left)\right(16-6+1)+(8-6\left)\right]\ast 4=500+\left[\right(8\left)\right(11)+2]\times 4=500+360=860$