Question

Consider the following declaration of a two-dimensional array in C Char a[100][100] Assuming that the main memory is one byte-addressable and that array is stored starting form memory address 0, the address of A[40][50] is ____

Select one:

a. 4040

b. 5050

c. 4050

d. 5040
​

Answer 1

Explanation:

b) 5050 is the answer

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Answer 2

The main memory is one byte-addressable and that array is stored starting form memory address 0, the address of A[40][50] is b)4050

Explanation:

In C, arrays are always stored in the row-major form.

The 2−D array's location is: $loc(a[i][j]) =BA+((i-lb1)*NC+(j-lb2))*c$

where,

BA - Base Address

NC - No. of columns

c - memory size allocated to data type of array $a[lb1.........ub1][lb2................ub2]$

BA=$0$, NC=$100$, c=$1$, $a[0.........99][0...........99]$ , so lb1=$0$, lb2=$0$

$loc(a[40][50])=0+[(40-0)*100+(50-0)]*1\\=0+[4000+50]*1\\=4050$