MTH510-Assignment1

MTH510-Assignment1 - MTH 501/510 Assignment # 1 Fall 2011...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MTH 501/510 Assignment # 1 Fall 2011 DUE (at the beginning of your Lab): the week of October 3 1. Recall that a floating-point number can be expressed as (- 1) s (1 + f ) 2 e where s , f and e are binary numbers. Recall that s is the sign indicator, f the mantissa (or fractional part), and e the exponent. In single-precision, the sign is 1 bit long, the mantissa is 23 bits long, and the exponent has 8 bits. What is the largest positive number in single-precision? 2. Express the decimal number 92 . 953125 as a binary fraction. 3. (a) Consider the function f ( x ) = x 4- 8 . 86 x. Use 3-digit rounding to compute f (2 . 76). What is the true percent relative error of your answer? (b) Find three 3-digit numbers such that x ( y + z ) 6 = xy + xz in 3-digit chopping. 4. (a) Find the MacLaurin series for e 2 x , and use it to estimate e . 1 with at least 4 signifi- cant figures (by hand). As part of your answer, add terms one at a time until an appropriate stopping criterion gives you an estimate of the desired accuracy.stopping criterion gives you an estimate of the desired accuracy....
View Full Document

Ask a homework question - tutors are online