Course Solutions Uncategorized (Solved) : Let Floating Point Number Representation Certain System Sign Bit 3 Bit Exponent 4 Bit Sign Q34834595 . . . .

(Solved) : Let Floating Point Number Representation Certain System Sign Bit 3 Bit Exponent 4 Bit Sign Q34834595 . . . .

 

Let the floating point number representation on a certain systemhave a sign bit, a 3-bit exponent, and a 4-bit significand.

a) Show how to determine the largest positive and the smallestpositive number that can be stored on the system if the storage isnormalized. (Assume that no bits are implied, there is no biasing,exponents use two’s complement notation, and exponents of all zerosand all ones are allowed).

b) What “standard” bias should be used in the exponent if weprefer not to write negative exponents using two’s complementnotation. Show the largest positive and the smallest positivenumber that can be stored on the system using

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