What is the machine precision eps

Reference no: EM13186662

For this problem, assume a binary computer with 12 bits in the floating-point mantissa.
(a) What is the machine precision eps?
(b) Let x = 6/7 and x* be the correctly rounded machine approximation to x (symmetric rounding). Exhibit x and x* as binary numbers.
(c) Determine (exactly!) the relative error E of x* as an approximation to x? and calculate the ratio l~l/eps.

Reference no: EM13186662

Questions Cloud

Which student has done the most : Three students are doing an assignment.John has finished 4/5 of the assignment,Sarah has finished 3/4 and Jo has finished 2/3. Which student has done the most?

Explain how automatic stabilizers work : Suppose you heard the following: "The gap between actual output and potential output for this year is estimated to be 6 percent to 7 percent of potential output. Wholesale prices are virtually unchanged from one yea..

State what is the total vapor pressure of the system : A 25:75 mixture of acetone:toluene is heated to 70 C at a pressure of 760 mmHg. What is the total vapor pressure of the system? Is the system a liquid below boiling, at boiling, or a gas?

Find the direction and magnitude of the resultant : Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.

What is the machine precision eps : Determine (exactly!) the relative error E of x* as an approximation to x? and calculate the ratio l~l/eps.

Depict a formula for the lowest molecular weight compound : Draw a formula for the lowest molecular weight compound that contains C, H, and possibly O, N or S, is a chiral compound, contains ONLY one functional group, and is a sulfide.

Build your own maze : Build your own maze and make it so easy so i can understand it. try to use for while statement. it is an easy task so please do not make it complicated and follow the instructions that im going to post. another thing do not use the maze that in th..

Compute p and v and t for initial and final states : Calculate P,V and T for initial and final states of each process and produce a plot of the two processes on a P,V diagram. Without resorting to equations, explain why the result for part (b) is greater than or less than the result for part (a).

Develop basic tools to expedite use of oracles dictionary : Write a script that provides all of the information in, and duplicates the formatting of, Oracle's SQL*Plus describe command. Additionally, the output should add the comments on the rows. Input: owner and table name. Output: columns for Name, Null..

User Account

All Pages