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Q. Explain the technique to calculate the address of an element in an array. A 25 × 4 matrix array DATA is stored in memory in 'row-major order'. If base address is 200 and ω = 4 words per memory of the cell. Calculate the DATA address [12, 3]
Ans:
In a row major representation, address of any element a[i][j] can be found using the formula written below: a[i][j]=base(a)+(i*m+j)*size where base(a) is base address, m is the number of columns and size represent size of word. DATA[12,3]=200+(12*4+3)*4 =200+(48+3)*4 =200+51*4 =200+204 =404
In a row major representation, address of any element a[i][j] can be found using the formula written below: a[i][j]=base(a)+(i*m+j)*size where base(a) is base address, m is the number of columns and size represent size of word.
DATA[12,3]=200+(12*4+3)*4
=200+(48+3)*4
=200+51*4
=200+204
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