Solve Math problem By Using Linear Arrays

Solve Math problem By Using Linear Arrays:

4.1  Consider the linear arrays AAA(5:50), BBB(-5:10) and CCC(18).

(a) Find the number of elements in each array.

(b) Suppose Base(AAA) = 300 and W = 4 words per memory cell for AAA.  Find the addess of AAA[15], AAA[35] and AAA[55].

(a)  The number of elements is equal to the length; hence use the formula

                                  

                                                          Length = UB - LB + 1

Accordingly,  Length(AAA) = 50 - 5 + 1 = 46

                     Length(BBB)  = 10 - (-5) + 1 = 16

                     Length(CCC) = 18 - 1 + 1 = 18

Note that Length(CCC)  = UB, Since LB = 1

(b)  Use the formula   

                                 LOC(AAA[K])  = base(AAA) + W(K - LB)

      Hence:                 LOC(AAA[15]) = 300 + 4(15 - 5) = 340

                                  LOC(AAA[35]) = 300 + 4(35 - 5) = 420

AAA[55] is not an element of AAA, since 55 exceeds UB = 50

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