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Answer the following questions assuming a 6-bit floating point format with a signed bit, 3-bit mantissa, 2-bit exponent, implied leading 1, and a bias of 2. 1. What is the smallest decimal number that can be represented? 2. What is the smallest positive decimal number that can be repre- sented? 3. What is the maximum rounding error with a stored exponent value of 112? (remember the bias!)

Answer the following questions assuming a 6-bit floating point format with a signed bit, 3-bit mantissa, 2-bit exponent, implied leading 1, and a bias of 2. 1. What is the smallest decimal number that can be represented? 2. What is the smallest positive decimal number that can be repre- sented? 3. What is the maximum rounding error with a stored exponent value of 112? (remember the bias!)

Database System Concepts
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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Answer the following questions assuming a 6-bit floating point format with a signed bit, 3-bit mantissa, 2-bit exponent, implied leading 1, and a bias of 2. 1. What is the smallest decimal number that can be represented? 2. What is the smallest positive decimal number that can be repre- sented? 3. What is the maximum rounding error with a stored exponent value of 112? (remember the bias!)
Transcribed Image Text:Answer the following questions assuming a 6-bit floating point format with a signed bit, 3-bit mantissa, 2-bit exponent, implied leading 1, and a bias of 2. 1. What is the smallest decimal number that can be represented? 2. What is the smallest positive decimal number that can be repre- sented? 3. What is the maximum rounding error with a stored exponent value of 112? (remember the bias!)
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