Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

1. (15 points) Consider a 8-bit float point format with 1 sign bit, followed by 3 exponent bits Q, and then 4 precision bits P.

image text in transcribed

1. (15 points) Consider a 8-bit float point format with 1 sign bit, followed by 3 exponent bits Q, and then 4 precision bits P. The bias in the exponent b=3. If Q=0, then integer part of P is 0 , otherwise the integer part of P is 1 . If Q=(111)2, then the value means either infinity or not a number. We do not cconsider this case here. You must justify your answers fo rthe following questions. (a) (2 points) What is the range of values that such a float point value can represent (not including infinity and not a number)? (b) (2 points) What is the smallest positive value that it holds? (c) (5 points) What is the binary representation of 0.3, and what is the rounding error? (d) (6 points) If x holds 0.3, and y holds 2.0, what is the rounding error for x+y

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Machine Learning And Knowledge Discovery In Databases European Conference Ecml Pkdd 2018 Dublin Ireland September 10 14 2018 Proceedings Part 1 Lnai 11051

Authors: Michele Berlingerio ,Francesco Bonchi ,Thomas Gartner ,Neil Hurley ,Georgiana Ifrim

1st Edition

3030109240, 978-3030109240

More Books

Students also viewed these Databases questions

Question

What is the source mac address at point 3 ?

Answered: 1 week ago