Fixed point implementation of 1/x

1. How do you calculate fixed-point representation?
2. How do you multiply a fixed-point?
3. How do you do fixed-point addition?
4. What is fixed-point in C++?

How do you calculate fixed-point representation?

There are three parts of a fixed-point number representation: the sign field, integer field, and fractional field. We can represent these numbers using: Signed representation: range from -(2^(k-1)-1) to (2^(k-1)-1), for k bits. 1's complement representation: range from -(2^(k-1)-1) to (2^(k-1)-1), for k bits.

How do you multiply a fixed-point?

To perform fixed-point multiplication, we can first ignore the binary point of the multiplier and multiplicand, perform the multiplication treating the operands as two's complement numbers, and, then, determine the position of the binary point for the result.

How do you do fixed-point addition?

The addition of fixed-point numbers requires that the binary points of the addends be aligned. The addition is then performed using binary arithmetic so that no number other than 0 or 1 is used. The default global fimath has a value of 1 (true) for the CastBeforeSum property.

What is fixed-point in C++?

"fpm" stands for "fixed-point math". It is designed to serve as a drop-in replacement for floating-point types and aims to provide as much of the standard library's functionality as possible with exclusively integers. fpm requires C++11 or higher.