Q number format vs IEEE 754 format?

1. What is IEEE 754 format?
2. What is a Q number?
3. How many numbers can IEEE 754 represent?
4. What is Q integer?

What is IEEE 754 format?

The IEEE-754 standard describes floating-point formats, a way to represent real numbers in hardware. There are at least five internal formats for floating-point numbers that are representable in hardware targeted by the MSVC compiler. The compiler only uses two of them.

What is a Q number?

Q (number) format is a fixed-point method of coding fractional and whole integers for processing by a computer's CPU or a digital signal processor (DSP). The Q format is used to enable rational number processing by a standard integer hardware arithmetic logic unit (ALU).

How many numbers can IEEE 754 represent?

So there are 2^32 - 2^25 = 4261412864 distinct normal numbers in the IEEE 754 binary32 format.

What is Q integer?

The q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming a group having a generalized sum which is similar to sum of the Tsallis q-entropies of independent systems. After, we will see that the symmetric form of q-integers is linked to the Kaniadakis calculus.