(Solved) : 3 Find Nearest Floating Point Representation 12 Bit Construction Following Real Numbers 19 Q44173519 . . .

3) Find the nearest floating-point representation in this 12-bit construction for the following real numbers: (i) 19.25 (ii) -0.3333 and (iii) 0.005. (They may or may not be exact.) If a real number does not posses an exact floating-point representation, then there is a roundoff error for its representation, i.e., Eroundoff = |number (real) – number ( floating point ) decimal X 100%. What is the maximum roundoff error for a normal floating-point representation in the 12-bit construction for -0.3333? What is the maximum roundoff error for a subnormal floating-point representation in this 12-bit construction for 0.005? Show transcribed image text 3) Find the nearest floating-point representation in this 12-bit construction for the following real numbers: (i) 19.25 (ii) -0.3333 and (iii) 0.005. (They may or may not be exact.) If a real number does not posses an exact floating-point representation, then there is a roundoff error for its representation, i.e., Eroundoff = |number (real) – number ( floating point ) decimal X 100%. What is the maximum roundoff error for a normal floating-point representation in the 12-bit construction for -0.3333? What is the maximum roundoff error for a subnormal floating-point representation in this 12-bit construction for 0.005?
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Answer to 3) Find the nearest floating-point representation in this 12-bit construction for the following real numbers: (i) 19.25 …
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