Question

Represent in IEEE 32bit form:

0.01100011 * 2^-83

and

0.101010101

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Not really sure how to solve these things " I know how to represent "

the first one what I did is since there's 83 zeros after the point I should multiply by 2^85

to get:

1.100011 and then represent it as the sign is positive so:

0

and exponent 85 + 127

and mantisa " not sure about the spelling " but it's
100011 + 17 zero

and the second one is solved by multiplying to get 101010101 + 15 zero and then multiply by 2^-23 to get 1.01010101 and then do thee same thing ??

please help