HW1 - using 64 bits in the following way: sign 1 bit,...

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MAT 421 Applied Computational Methods Prof. Gardner ( [email protected] ), Goldwater 654 Reading :S e c t i on s1 . 7(F o a t in gpo in t . 1 4
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Unformatted text preview: using 64 bits in the following way: sign 1 bit, exponent 8 bits, & mantissa 55 bits. A given real number r is written as r = ± m 2 n where the mantissa m satis±es 1 / 2 ≤ m < 1 &-128 ≤ n ≤ 127. Give the following numbers ±rst as a power of 2, & then in scienti±c notation (base 10): (a) What is the largest positive number realmax that can be stored? (b) What is the smallest positive number realmin that can be stored? (c) What is the machine epsilon ± M ?...
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This note was uploaded on 03/11/2012 for the course MAT 421 taught by Professor Staff during the Fall '11 term at ASU.

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