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    $\begingroup$ (+1) Very informative answer, though it was scary when you dropped the other F word at the end of the first paragraph! $\endgroup$ Commented Nov 21, 2021 at 0:59
  • $\begingroup$ //" then learn how to do it with reduced data widths and with fixed point..."// ---- they might not need to, they could have an ARM or a SHArC or something. ---- //" ...Then learn how to do it so that it runs fast."// That's usually necessary for embedded processing because sometimes they throw the least MIPS power necessary to accomplish a job. But this answer is spot on. Brings me back to 1979 to 1990 . $\endgroup$ Commented Nov 23, 2021 at 0:49
  • $\begingroup$ @robertbristow-johnson: I'm currently working on a cost-sensitive video processing app. So, yes -- speed is essential, and part of that is going to be half-precision floats or integers or something. $\endgroup$ Commented Nov 23, 2021 at 1:48
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    $\begingroup$ If you get to influence the design of the "half-precision floats ...or something", and if you're not doing Block Floating-Point, I really recommend a float format that is like the DEC PDP-10 but put in denormals at the bottom of the range. Then no bit pattern is not a number. And fixed-point compare works with floating-point numbers. And you may not need 8 bits for the exponent, but do the constant-offset exponent like IEEE. 00000 is your smallest exponent. $\endgroup$ Commented Nov 23, 2021 at 1:59