Array Address Calculation Questions

 

1. 

An array X [-15……….10, 15……………40] requires one byte of storage. If beginning location is 1500 determine the location of X [15][20].

2.

A matrix B[10][20] is stored in the memory with each element requiring 2 bytes of storage. If the base address at B[2][1] is 2140, find the address of B[5][4] when the matrix is stored in Column Major Wise.

3.

Each element of an array arr[15][20] requires ‘W’ bytes of storage. If the address of arr[6][8] is 4440 and the base address at arr[1][1] is 4000, find the width ‘W’ of each cell in the array arr[][] when the array is stored as Column Major Wise.

4.

A matrix ARR[-4…6, 3…8] is stored in the memory with each element requiring 4 bytes of storage. If the base address is 1430, find the address of ARR[3][6] when the matrix is stored in Row Major Wise.

5. 

A matrix A[m][m] is stored in the memory with each element requiring 4 bytes of storage. If the base address at A[1][1] is 1500 and the address of A[4][5] is 1608, determine the order of the matrix when it is stored in Column Major Wise.

6. 

A matrix P[15][10] is stored with each element requiring 8 bytes of storage. If the base address at P[0][0] is 1400, determine the address at P[10][7] when the matrix is stored in Row Major Wise.

7. 

 A matrix A[m][n] is stored with each element requiring 4 bytes of storage. If the base address at A[1][1] is 1500 and the address at A[4][5] is 1608, determine the number of rows of the matrix when the matrix is stored in Column Major Wise.

8. 

The array D[-2…10][3…8] contains double type elements. If the base address is 4110, find the address of D[4][5], when the array is stored in Column Major Wise.

9.

An array AR[-4 … 6, -2 … 12], stores elements in Row Major Wise, with the address AR[2][3] as 4142. If each element requires 2 bytes of storage, find the Base address.

10. 

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.

11.

A matrix B[10][7] is stored in the memory with each element requiring 2 bytes of storage. If the base address at B[x][1] is 1012 and the address at B[7][3] is 1060, determine the value ‘x’ where the matrix is stored in Column Major Wise

12. 

A square matrix A [m × m] is stored in the memory with each element requiring 2 bytes of storage. If the base address at A[1][1] is 1098 and the address at A[4][5] is 1144, determine the order of the matrix A[m × m] when the matrix is stored in Column Major Wise

13. 

A character array B[7][6] has a base address 1046 at 0, 0. Calculate the address at B[2][3] if the array is stored in Column Major Wise. Each character requires 2 bytes of storage.

14.

Each element of an array A[20][10] requires 2 bytes of storage. If the address of A[6][8] is 4000, find the base address at A[0][0] when the array is stored in Row Major Wise.

15.

A two-dimensional array defined as X[3…6, -2…2] requires 2 bytes of storage space for each element. If the array is stored in Row Major Wise order, determine the address of X[5][1], given the base address as 1200.

Ans:

1    1660, 2285

2    2206

3    4

4    1610

5    6

6    2256

7    6

8     4366

9    3952

10    2032

11    3

12    5

13    1092

14    3864

15.    1226