6. Using IEEE 754 representation for single precision floating point, give the 32- bit binary encoding for the numbers below. Show the sign, exponent, and mantissa (significand). a. -2.40625 b. 11.2265625 7. Given the following binary number: 1101.0111, what will be its decimal number equivalent?

6. Using IEEE 754 representation for single precision floating point, give the 32- bit binary encoding for the numbers below. Show the sign, exponent, and mantissa (significand). a. -2.40625 b. 11.2265625 7. Given the following binary number: 1101.0111, what will be its decimal number equivalent?

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter3: Data Representation

Section: Chapter Questions

Problem 4PE

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Question

For 6a & 6b, show the final answer in hexadecimal.

6. Using IEEE 754 representation for single precision floating point, give the 32-
bit binary encoding for the numbers below.
Show the sign, exponent, and mantissa (significand).
a. -2.40625
b. 11.2265625
7. Given the following binary number: 1101.0111, what will be its decimal number
equivalent?

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Step 3: the IEEE 754 single-precision representation for 11.2265625:

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