Question

A square matrix M [ ] [ ] of size 10 is stored in the memory’ with each element requiring 4 bytes of storage. If the base address at M [0][0] is 1840, determine the address at M [4] [8] when the matrix is stored in Row Major Wise.

Answer 1

Row Major address formula: 

M[i] [j] = BA+W [(i – Ir) * column + (j – Ic)] 

BA: 1840, Ir = 0, Ic = 0, W = 4, rows = 10, column = 10, i = 4, j = 8 

M[4] [8] = 1840 + 4 [(4 – 0) × 10+ (8 – 0)] 

= 1840 + 192 

= 2032