The ieee 754 known as the floating point standard specifies, Ask an Expert

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The IEEE 754 (known as the floating point standard) specifies the 128-bit word as having 15 bits for the exponent. What is the length of the fraction? What is the rounding unit? How many significant decimal digits does this word have? Why is quadruple precision more than twice as accurate as double precision, which is in turn more than twice as accurate as single precision?

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