Question: 1. b, b2b, X 2?where b; is the ith digit after the decimal, E can be only 0, 1, and -1; as well as the

1. b, b2b, X 2?where b; is the ith digit after the decimal, E can be only 0, 1, and -1; as well as the number zero. What isthe machine precision ? for this system? Assuming that subnormal numbers are not used, what is thesmallest positive number that can be represented in this system, and what is the largest? What is thesmallest positive number if subnormal are used? Express your answers in decimal form.

1. b, b2b, X 2?where b; is the ith digit after
Imagine a floating-point system in which we can store binary numbers only of the form 1. blbzb3 x 25 where bi is the ith digit after the decimal, E can be only 0, 1, and -1; as well as the number zero. What is the machine precision E for this system? Assuming that subnormal numbers are not used, what is the smallest positive number that can be represented in this system, and what is the largest? What is the smallest positive number if subnormals are used? Express your answers in decimal form

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!