We divide electronics into 2 big parts: **analog** and **digital**.

Everything in the natural world is analog.

Temperature, light, distance, speed, humidity, sound, everything is measured in a nearly infinite amount of values and precision.

Analog is natural. Digital, however, is artificial. Humans, in their ancestral quest to understand nature and create artificial systems and simulations, came up with the concept of digital measurements and values.

A digital representation can only assume 2 states: **on** or **off**. 1 or 0.

Representing basic values using only `0`

and `1`

values made it possible to solve complex problems in a simple way, and eventually led us to creating things like our computers, smartphones and the Internet.

We can combine multiple binary values to represent numbers that have more than 2 states. With 2 numbers we can define 4 states, with 3 numbers 8, with 4 numbers 16, and so on.

Then we use specific protocols and conventions to represent values.

For example we can represent decimal numbers using a series of bits:

`1`

can be represented as \[1\times2^0\]

`10`

can be represented as \[1\times2^1 + 0\times2^0\]

`111`

can be represented as \[1\times2^2 + 1\times2^1 + 1\times2^0\]

Leading zeros in a number can be dropped, or added if needed, because they do not mean anything on the left of the top left `1`

: `110`

can be represented a `0110`

or `00000110`

if needed. It holds the same exact meaning, because as the system above explained, we are simply multiplying a power of 2 times zero.

Depending on the value we need to represent we need to have an adequate number of digits to represent enough numbers.

If we want to have 16 values, so we can count from 0 to 15, we need 4 digits (bits). With 5 bits we can count 32 numbers. 32 bits will give us `4,294,967,296`

possible numbers.

64 bits will give us `9,223,372,036,854,775,807`

possible numbers.

Here is a simple conversion table for the first 4 digits, which we can generate using just 2 bits:

Decimal number | Binary number |
---|---|

0 | `00` |

1 | `01` |

2 | `10` |

3 | `11` |

Here is a simple conversion table for the first 8 digits:

Decimal number | Binary number |
---|---|

0 | `000` |

1 | `001` |

2 | `010` |

3 | `011` |

4 | `100` |

5 | `101` |

6 | `110` |

7 | `111` |

If you notice, I repeated the above sequence, adding `1`

instead of `0`

in the series from 4 to 7.

Here is a simple conversion table for the first 16 digits:

Decimal number | Binary number |
---|---|

0 | `0000` |

1 | `0001` |

2 | `0010` |

3 | `0011` |

4 | `0100` |

5 | `0101` |

6 | `0110` |

7 | `0111` |

8 | `1000` |

9 | `1001` |

10 | `1010` |

11 | `1011` |

12 | `1100` |

13 | `1101` |

14 | `1110` |

15 | `1111` |

## More electronics tutorials:

- Arduino vs Raspberry Pi
- An introduction to Arduino
- The Arduino Uno rev 3 board
- The Arduino Uno WiFi rev 2 board
- Introduction to the Arduino Programming Language
- Milli Micro Nano Pico
- The Arduino MKR WiFi 1010
- Introduction to Electronics
- Electronics Basics: Analog vs digital
- Electronics Basics: Current
- Electronics Basics: Voltage
- Electronics Basics: Vcc, ground, ...
- Electronics Basics: Resistance
- Electronics Basics: Short Circuit
- Electronics Basics: Your first circuit
- Electronics Basics: Prototyping using breadboards
- Electronics Basics: using a multimeter
- Measuring voltage, current and resistance using a multimeter
- What to buy to get started with Arduino and Electronics
- Arduino project: blink a LED
- The Arduino built-in LED
- Breadboard Power Supply Module
- The Arduino Create Platform
- How to connect to a WiFi network using an Arduino
- How to run a Web Server on an Arduino