Number Representation

We have learned that the field of digital signal processing manipulates sequences of numbers. In a digital machine, these numbers can only be represented in a binary format. In the case of fixed-point arithmetic, there is a set procedure that converts a decimal number (e.g., a voltage or current signal) into its binary representation for positive numbers. For example, the number $13$ can be written as:

$$13 = 1\times 10^1 + 3\times 10^0=10+3$$ ...