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Question
Let us assume Data[20][15] is a two-dimensional array, which is stored in the memory along the row with each of its elements occupying 2 bytes. Find the address of the element Data(10][5], if the element Data[10][l5] is stored at the memory location 15000.
Solution
W - 2
N - 20
M - 15
Loc(Data[15][10]) = 15000
Row major formula:
Loc(Data[i][j]) = Base(Data) + W*(M * i + j)
Loc(Data[15][10]) = Base(Data) + 2*(15 * 15 + 10)
15000 = Base(Data) + 2*(225 + 10)
= Base(Data) + 2 * 235
= Base(Data) + 470
Base(Data) = 15000 – 470
= 14530
Loc(Data[10][5]) = 14530 + 2 * (15 * 10 + 5)
= 14530 + 2 * (150 + 5)
= 14530 + 2 * 155
= 14530 + 310
= 14840
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