Fixed point representation calculator

1. What is fixed-point representation?
2. How do you convert to fixed-point?
3. How do you represent 0.8 in binary?
4. What is Q15 format?

What is fixed-point representation?

In computers, fixed-point representation is a real data type for numbers. Fixed point representation can convert data into binary form, and then the data is processed, stored, and used by the computer. It has a fixed number of bits for the integral and fractional parts.

How do you convert to fixed-point?

Lossy Conversion of Fixed-Point Numbers

To convert from floating-point to fixed-point, we follow this algorithm: Calculate x = floating_input * 2^(fractional_bits) Round x to the nearest whole number (e.g. round(x) ) Store the rounded x in an integer container.

How do you represent 0.8 in binary?

We can go on, but even now, we can see that decimal 0.8 is binary 0.11001100... (and many digits). In fact, it is a periodic number with period 1100, so we won't find the exact number of binary digits to write 0.8 precisely. It is 1100 all the way down.

What is Q15 format?

For example, the Q15 is a popular format in which the most significant bit is the sign bit, followed by 15 bits of fraction. The Q15 number has a decimal range between –1 and 0.9999 (0x8000 to 0x7FFF). This Q-value specifies how many binary digits are allocated for the fractional portion of the number.