S31b) What is this single precision floating point number using IEEE 754 encoding in decimal notation?ExponentFraction30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 80 0 1 0 1 1 1211210 2⁹ 282048 1024 512 256O27 26 25 24 2³128 64321680071|0 1 0 1 1 ο ο ο ο ο ο ο ο ο ο ο ο ο ο ο ο ο ο2² 2¹ 2⁰ 2-¹4210.56 5 402-² 2-3 2-4 2.50.250.1250.06252-60.03125 0.015625

In computer science and numerical representation, a floating-point number format specified by the…

b) What is this single precision floating point number using IEEE 754 encoding in decimal notation? Exponent Fraction 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 6 5 3 2 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 S 28 27 26 25 128 64 32 211 210 2⁹ 2048 1024 512 256 24 2³ 16 N 8 2² 4 ม 2¹ 2⁰ 2 1 2.¹ 2-² 2.3 2-4 2.5 0.125 0.0625 0.5 0.25 0.03125 No 2-6 0.015625

b) What is this single precision floating point number using IEEE 754 encoding in decimal notation? Exponent Fraction 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 6 5 3 2 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 S 28 27 26 25 128 64 32 211 210 2⁹ 2048 1024 512 256 24 2³ 16 N 8 2² 4 ม 2¹ 2⁰ 2 1 2.¹ 2-² 2.3 2-4 2.5 0.125 0.0625 0.5 0.25 0.03125 No 2-6 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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08. Given the following binary number in 32-bit (single precision) IEEE-754 format 00111I10011011010000000000000000 The decimal value closest to this floating point number is
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Convert the following numbers into base ten. (a) 32five (b) 22six (c) 410five (d) 3203five (e) 202five (f) 1222six (g) 202four (h) 404seven (i) 1000two (j) 11011two (k) 88sixteen (l) 707sixteen ?
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S 31 0 S 31 a) Show the IEEE 754 binary representation for the floating-point number 1024.8125 in single precision. Exponent 30 29 28 27 26 25 24 23 22 21 20 19 2¹¹ 21⁰ 2⁹ 2² 27 25 2³ 2048 1024 512 256 128 64 30 29 28 211 2048 0 1 0 210 1024 1 1 O 24 32 16 1 0 2⁹ 2² 27 25 512 256 128 64 21 20 1 0 19 b) What is this single precision floating point number using IEEE 754 encoding in decimal notation? Exponent 27 26 25 24 23 22 24 1 1 2³ 32 16 N 18 17 2³ 2² 00 AN 4 18 17 16 15 14 13 2³ 8 000 00 14 AN Fraction 2² 2⁰ 2 1 4 13 ܘ ܘ ܘ ܘ ܘ ܘ ܘ ܘ ܘ ܪ 2² 2² 2 2-¹ 2-² 2-3³ 2-4 2-5 0.5 0.25 0.125 0.0625 0.03125 Fraction 10 12 11 10 9 2⁰ 1 2-² 0.5 8 7 00 00 2-² 2-³ 2-4 2-5 0.25 0.125 0.0625 0.03125 A ܘ ܘ ܘ ܘ ܝ 0 2-6 0.015625 1 2-6 0.015625
Convert the following decimal number into it's IEEE 754 Floating Point representation. -23.5625 What is the following hexadecimal number in binary format? OxA47D What is the IEEE 754 floating point representation of the following number: 93.75
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