Linear array - numerical, Data Structure & Algorithms

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Q. A linear array A is given with lower bound as 1. If address of A[25] is 375 and A[30] is 390, then find address of A[16].                                                     

 

Ans.

Loc (a[k]) = base (a) + w (k-lb)

375 = base (a) + w(25 - 1)

390 = base (a) + w(30 - 1)

375 = x + 24w

390 = x + 29w

 

15 = 5w

∴ w = 3

∴ x = 375 - 24 *3

x = 375 - 72

x = 303

∴base address is 303 and w = 3.

∴Address of A[16] is

loc = 303+ 3(16-1) = 348.


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