S310S31a) Show the IEEE 754 binary representation for the floating-point number 1024.8125 in single precision.Exponent30 29 28 27 26 25 24 23 22 21 20 192¹¹ 21⁰ 2⁹ 2² 27 25 2³2048 1024 512 256 128 6430 29 2821120480 1 021010241 1O2432 161 02⁹ 2² 27 25512 256 1286421 201 019b) What is this single precision floating point number using IEEE 754 encoding in decimal notation?Exponent27 26 25 24 23 22241 12³32 16N18 172³ 2²00AN418 17 16 15 14 132³80000014ANFraction2² 2⁰21413ܘ ܘ ܘ ܘ ܘ ܘ ܘ ܘ ܘ ܪ2² 2²22-¹ 2-² 2-3³2-42-50.5 0.25 0.125 0.0625 0.03125Fraction1012 11 10 92⁰12-²0.58700 002-² 2-³ 2-42-50.25 0.125 0.0625 0.03125Aܘ ܘ ܘ ܘ ܝ02-60.01562512-60.015625

IEEE 754 is a standard for floating-point arithmetic which is used to define the formats for…

S 31 a) Show the IEEE 754 binary representation for the floating-point number 1024.8125 in single precision. 30 29 28 Exponent 27 28 29 30 3 2¹1 21⁰ 2⁹ 2² 27 128 in 2048 1024 512 256 22 25 64 21 20 19 18 17 16 2³ 24 32 16 2³ 2² 2² 8 4 2 Fraction 13 2⁰ 1 12 11 2-¹ 2-² 2-3 05 0.25 2-4 0.125 0.0625 2-5 2-6 0.03125 0.015625

S 31 a) Show the IEEE 754 binary representation for the floating-point number 1024.8125 in single precision. 30 29 28 Exponent 27 28 29 30 3 2¹1 21⁰ 2⁹ 2² 27 128 in 2048 1024 512 256 22 25 64 21 20 19 18 17 16 2³ 24 32 16 2³ 2² 2² 8 4 2 Fraction 13 2⁰ 1 12 11 2-¹ 2-² 2-3 05 0.25 2-4 0.125 0.0625 2-5 2-6 0.03125 0.015625

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter3: Data Representation

Section: Chapter Questions

Problem 5PE

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