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# Consider a computer system that includes all positive real numbers of the form:(0.d1d2d3d4)2 X 2"lere d1 = 1, and d2; d3, d4 are either 0 or 1, and n â‚¬ {...

## Question

###### Consider a computer system that includes all positive real numbers of the form:(0.d1d2d3d4)2 X 2"lere d1 = 1, and d2; d3, d4 are either 0 or 1, and n â‚¬ {-3,-2, -1,0,1,2,3,4}.(i) How many numbers can the computer store?ii) Find the numbers of the system that are closest to 1 and } ii) Use your answers in (ii) and find the computer' s output to the addition problem 18 + }- What is the absolute relative error |et| of the addition problem?

Consider a computer system that includes all positive real numbers of the form: (0.d1d2d3d4)2 X 2" lere d1 = 1, and d2; d3, d4 are either 0 or 1, and n â‚¬ {-3,-2, -1,0,1,2,3,4}. (i) How many numbers can the computer store? ii) Find the numbers of the system that are closest to 1 and } ii) Use your answers in (ii) and find the computer' s output to the addition problem 18 + }- What is the absolute relative error |et| of the addition problem?

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