60 pts) Convert the following numbers into 32-bit IEEE 745 floating format. You need to include...

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60 pts) Convert the following numbers into 32-bit IEEE 745 floating format. You need to include...

60 pts) Convert the following numbers into 32-bit IEEE 745 floating format. You need to include all calculation steps in order to get full credit. Before submission, you could verify your final answer here: https://www.h-schmidt.net/FloatConverter/IEEE754.html

B.-7.1875

engineering Computer-Science

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Answer 1

Answer #1

-7.1875 in simple binary => 111.0011
so, -7.1875 in normal binary is 111.0011 => 1.110011 * 2^2

single precision:
--------------------
sign bit is 1(-ve)
exp bits are (127+2=129) => 10000001
frac bits are 11001100000000000000000

so, -7.1875 in single-precision format is 1 10000001 11001100000000000000000
in hexadecimal it is 0xC0E60000

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Answer 2

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