Comments on: Floating Point Arithmetic Before IEEE 754
https://blogs.mathworks.com/cleve/2019/01/18/floating-point-arithmetic-before-ieee-754/
Cleve Moler is the author of the first MATLAB, one of the founders of MathWorks, and is currently Chief Mathematician at the company. He writes here about MATLAB, scientific computing and interesting mathematics.Mon, 21 Jan 2019 20:37:42 +0000hourly1https://wordpress.org/?v=4.9.8By: Nick Thompson
https://blogs.mathworks.com/cleve/2019/01/18/floating-point-arithmetic-before-ieee-754/#comment-7980
Mon, 21 Jan 2019 20:37:42 +0000https://blogs.mathworks.com/cleve/?p=4410#comment-7980I always wondered why so much of the bit budget devoted to the exponent? It seems roundoff is normally a much bigger problem for people than over/underflow, so I always figured it’d be better to give a couple more bits to the mantissa. (Of course, this is a separate question since you stated that the IEEE 754 format was somewhat determined by backwards compatibility.)
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