Question

1- True or False: Machine Epsilon is always less than Overflow.

a. True

b. False

Answer #1

false,machine epsilon is the maximum relative error of the choosen rounding procedure. Because the error is machine dependent and is called machine epsilon.

error = true value - Approximate value

the length of the size of the computer has finite memory so that there is a finite or fixed sequence of digit are stored .

Hence even in storing an exact decimal number in its converted form in the computer memory then error is introduced. This error is machine dependent.

To represent real number ,if there are m bit is used for the magnitude of the mantissa then the machine epsilon is .

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8....

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