7. A pair of 7-bit floating point formats, based on the IEEE standard, is described below: (a) Format (a) has k = 3 and n = 4. The exponent bias is 3. Format (b) has k = 4 and n = 3. The exponent bias is 7. Convert the bit patterns below, given in format (a) to bit patterns in format (b). Convert exact values when possible, otherwise use the round-to-even rule. Also, write the values of each bit pattern, for the (a) and (b) formats. Write the values, in decimal, as rational numbers, or whole integers. Bits (a) Value Bits (b) Value 1 0111 000 011 0000 101 1010 110 1011 000 0011 1 (b) What is the smallest positive denormalized number in format (b)? What is the largest positive denormalized number in format (b)?

7. A pair of 7-bit floating point formats, based on the IEEE standard, is described below: (a) Format (a) has k = 3 and n = 4. The exponent bias is 3. Format (b) has k = 4 and n = 3. The exponent bias is 7. Convert the bit patterns below, given in format (a) to bit patterns in format (b). Convert exact values when possible, otherwise use the round-to-even rule. Also, write the values of each bit pattern, for the (a) and (b) formats. Write the values, in decimal, as rational numbers, or whole integers. Bits (a) Value Bits (b) Value 1 0111 000 011 0000 101 1010 110 1011 000 0011 1 (b) What is the smallest positive denormalized number in format (b)? What is the largest positive denormalized number in format (b)?

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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