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For the following question, assume an IEEE-754 standard floating point number with 6 bits of exponent, an exponent bias of -31, and 25 bits of
For the following question, assume an IEEE-754 standard floating point number with 6 bits of exponent, an exponent bias of -31, and 25 bits of mantissa. Due to PrairieLearn restrictions, please submit your answer as the full number. 1: What's the smallest non-infinite positive integer (an integer has nothing to the right of the decimal) this representation CANNOT represent? Hint: Think about how your floating point value changes when you change the mantissa by 1. integer 2: What power of 2 is the smallest representable positive value that is not a denormalized number? Submit the exponent only. integer 3: What power of 2 is the smallest representable positive value? Submit the exponent only. integer 4: How many NaNs can be represented with this floating point system? integer 5: What's the most negative possible denormalized number representable in this system? Write the value in hexadecimal (with uppercase letters), including the "Ox" prefix. The next few questions explore some quirkier aspects of floating-point numbers
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