Email your answers as a single text file to
czhang3@buffalo.edu.
Use the Subject line "337 quiz 3".
(1) IEEE 80-bit "extended precision" arithmetic uses a sign bit, a 64-bit mantissa, and a 15-bit exponent biased by 16383.
(a) What is the largest number in this system?
The largest
exponent code (all 1's) is reserved to denote special
things like "infinity" and "undefined".
Give your answer
in scientific notation, rounded to 2 decimal digits.
(b) What is the machine epsilon in this system? Again, give your answer in scientific notation, rounded to 2 decimal digits.
(2) Solving quadratics reliably: see this.