5.(9) Float - min and max, format is 5 bit mantissa and 6 bit exponent. a.(1) Sh

Question

 5.(9) Float - min and max,  format is 5 bit mantissa and 6 bit exponent.   a.(1) Show binary representation of the largest normalized that can be represented.     b.(2) What is the actual value? ( Put it in the form of 2^x-2^y)     c.(1) Show binary representation of smallest NORMALIZED value that can be represented.     d.(2) What is the actual value? ( Put it in the form 1.0 x 2^Y )     e.(1) Show binary representation of smallest DENORMALIZED value that can be represented.     f.(2) What is the actual value? ( Put it in the form 1.0 x 2^Y )

Explanation / Answer

Solution:

Note: The first four subparts have been answered as per Chegg guidelines, please repost others.

5

The format is:

a)

Largest normalized value

1.11111 * 2^111111

b)

The actual value will be

Actual exponent = Exponent - Biased exponent = 63 - 31= 32

Which means

1.11111 * 2^32

1.96875 * 2^32

c)

smallest normalized value

1.00000 * 2^000000

d)

The actual value will be

Actual exponent = Exponent - Biased exponent = 0 - 31= -31

Which means

1.00000 * 2^-31

2 * 2^-31

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