How to Calculate Smallest Float Value in IEEE 754 Standard [Single Precision]

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This video will show you process to compute smallest value in ieee 754 standard [single precision]
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If you have all zeroes in the exponent is equal to zero, it is reserved. But it is reserved for a 'dirty zero'. this means the exponent is still equal to -126 but the hidden number of 1 is taken away in the mantisse. So you can make it as small as 2^-126*2^-23. I'm not sure if this approach is universal.

ibenoosterlynck
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Thank You. Please, can you explain how to calculate the biggest one?

aymanehrouch
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Now it makes sense. I appreciate your explanation. Thank you! :)

PiddBoo
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Why all 0s in exponent part is reserved.. means for which purpose?

tusharnagpal
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shouldn't the Number with Maximum magnitude and with negative sign will be the smallest number...??
1
please correct me if iam wrong

CrackingTheGames
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In case of smallest fractional number what would be the exponent the actual value ?i found 0-127=-127.Please correct me if i wrong

thewindowseat
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How 127+ real exponent = -126 ? (I didn't get this). Please explain sir

AdventuresWithPooja