Question
Consider the following 16-bit floating point representation based on the IEEE floating point format: There is a sign bit in the most significant bit. The
Consider the following 16-bit floating point representation based on the IEEE floating point format:
There is a sign bit in the most significant bit.
The next seven bits are the exponent. The exponent bias is 63.
The last eight bits are the significand.
The rules are like those in the IEEE standard (normalized, denormalized, representation of 0, infinity, and NAN). As described in class, we consider the floating point format to encode numbers in a form:
(-1)s * m * 2E
where m is the mantissa and E is the exponent.
A) What is the value of m for a number with hexadecimal representation 3AA0 ?
Group of answer choices
126/127
13/8
255/256
254/255
13/256
B)
What is the value of E for a number with hexadecimal representation 3AA0 ?
Group of answer choices
-7
5
-4
-5
4
C)
What is the value of the number with hexadecimal representation 3AA0 ?
Group of answer choices
126/127
255 * 2 ** -70
13/256
254/255
257/256
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