5. Euler's number, e, is one of the most important numbers in mathematics. It is an irrational number, and is bounded between the two rational approximations 19/7 and 193/71. The numerical value of e truncated to 50 decimal places is: 2.71828 18284 59045 23536 02874 71352 66249 77572 47093 69995 The double-precision floating-point approximation of e has the hexadecimal representation 4005BF0A8B145769. a. What is the fractional binary number denoted by this floating-point value? b. What is the fractional binary representation of 19/7? At what hit position (relative to the binary point) do these two approximations to e diverge?

5. Euler's number, e, is one of the most important numbers in mathematics. It is an irrational number, and is bounded between the two rational approximations 19/7 and 193/71. The numerical value of e truncated to 50 decimal places is: 2.71828 18284 59045 23536 02874 71352 66249 77572 47093 69995 The double-precision floating-point approximation of e has the hexadecimal representation 4005BF0A8B145769. a. What is the fractional binary number denoted by this floating-point value? b. What is the fractional binary representation of 19/7? At what hit position (relative to the binary point) do these two approximations to e diverge?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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