## RC circuit: harmonic response

This article refers to the analysis of a simple low pass filter. The circuit is made of a resistor and capacitor, connected in series. In order to keep things simple, the calculations will be carried out in the Laplace domain.   Using the voltage divider formula, we can write: If the formula is simplified and […]

## Transfer function, Bode canonical form

The Bode canonical form is a widely used representation of the transfer function. One of the main reasons is that, using the parameters contained in the formula, drawing a graphical representation of the transfer function, in the frequency domain, becomes particularly easy. The parameters that appear in the formula have a physical meaning that can […]

## Binary numbers

What you should know: In the previous lesson, we were talking about the behavior of sequences of several bits. We showed that we were able to double the number of combinations that could be attained, just adding a bit to the left and repeating the same sequence twice, where the leftmost bit changes from 0 […]

## Binary to decimal conversion

What you should know: In the previous lesson we saw that every bit in a binary number has a value that can be calculated using the following rules: Bit Value 0 The value is always 0 1 , where position starts from 0 at the rightmost part of the sequence and increases moving to the […]

## Exercises: binary to decimal conversion

What you should know: Convert the following binary numbers to decimal Show solution 0 0 0 1 0 0 0 1 128 64 32 16 8 4 2 1 0 0 0 16 0 0 0 1 16+1=17 Show solution 1 0 0 1 1 0 0 1 128 64 32 16 8 4 2 […]

## Decimal to binary conversion

What you should know: In the lesson on binary numbers we explained that the rightmost bit of a even number in binary is always 0, while in an odd number it equals 1. Moreover, we said that divisions by two can be performed removing the rightmost bit and shifting all the others to the right […]