CODEWITHSUNDEEP
floating-pointstandardsieee-754
monguin
monguin

Reputation: 394

What is the rationale for exponent and mantissa sizes in IEEE floating point standards?

I have a decent understanding of how floating point works, but I want to know how the specific exponent and mantissa sizes were decided upon. Are they optimal in some way? How can optimality be measured for floating point representations (I assume there are several ways)? I imagine these issues are addressed in the official standard, but I don't have access to it.

Upvotes: 3

Views: 965

Answers (2)

Simon Byrne
Simon Byrne

Reputation: 7864

According to this interview with Will Kahan, they were based on the VAX F and G formats of the era.

Of course that doesn't answer the question of how those formats were chosen...

Upvotes: 3

Johan Kotlinski
Johan Kotlinski

Reputation: 25729

For 32-bit IEEE floats, the reasoning is that the precision should be at least as good as 24 bits fixed point.

Why exactly 24 bits, I don't know, but it seems like a reasonable tradeoff.

I suppose having a nice "round" number like that (mantissa + sign = 3 bytes, exponent = 1 byte) can also make implementations more efficient.

Upvotes: 0

Related Questions