# Binary Number System And Working With Ones And Zeroes

The binary number system is an important system in digital electronics. Because in digital electronics we are using only 1’s and 0’s. But what does this mean?

That’s something I was wondering about for a long time. I thought it was something really difficult and abstract. But when I one day asked my dad about it, it really surprised me how easy it was!

It turns out that a “1” is just a wire with voltage and a “0” is a wire without a voltage. It’s that simple!

The reason for this system is to make the electronics easier. A circuit which only needs to check if there is a voltage or not on the wire is really easy. Just have a look at how the transistor works and you’ll get an idea.

In order to make any sense out of the ones and zeroes, we use a binary number system.

## Making Sense of 10011101

We call the normal number system the “decimal system”. To distinguish between the decimal system and the binary system, we use a subscript of either 2 or 10.

Example:

(Binary number)

equals

(Decimal number)

## How To Convert From The Binary Number System To Decimal?

The binary number system works like this:

• The value of the last position on the right side is 1.
• The next position, to the left of this is 2.
• The next to the left of this is 4.
• The next to the left of this is 8.
• And it keeps doubling for each position to the left.

Now to find the decimal value of a binary number, you add all the values that has a “1” in their position.

So

is

is

## How To Convert Decimal To Binary Numbers

Converting from the decimal system to the binary system is a bit more complicated, but still not too hard.

Let’s say we want to convert 118 to the binary number system.

Divide the number by two and put the remainder on the right. Do this until we get 0:

Remainder: 0
Remainder: 1
Remainder: 1
Remainder: 0
Remainder: 1
Remainder: 1
Remainder: 1

Then we take the remainders and organize into a binary number with the last remainder on the left side.

So

Wikihow also has a really good article about decimal to binary conversion.

Check out logic gates to see how this is used in a circuit on a very low-level.

Return from Binary Number System to Electronic Schematics

## More Digital Electronics Tutorials

### 1 thought on “Binary Number System And Working With Ones And Zeroes”

1. Jeg er en mand, som er i gang med at finde ud af, hvordan man gør, når man skal bygge et kredsløb med en binær kode.
Min interesse for det er, at jeg har lært at bruge plc styring på mit arbejde, og det er utroligt hvad man kan få ud af den lille kasse, hvor man bare tilslutter det ene efter det andet,og så ser det operere, efter et meget enkelt program, lavet med den binære kode.
Jeg var ansat som procesoperatør, som er den der overvåger anlægget, samt udfører det der kaldes forebyggende vedligeholdelse, men jeg var bare så imponeret af den lille kasse hvor man koblede mere og mere til så var klemmerækken fuld, jamen så satte man en ny række til.
Arbejdspladsen var en kæmpe molerfabrik, som kørte 24/7 med 3 store roterovne, samt en fraktoneringsdel plus et mølleri og så et pakkeri til mølleriet og et til fraktoneringsdelen.
Vi var 9 operatører sammen med 8 smede og 2 elektrikere plus et par mænd på pladsen og pakkefolk sammen med en masse kontorfolk.
Omsætningen steg til over 100 millioner om året og det var for år 2000. Jeg startede i 1990 hvor plc styring var nylig opstartet, det var kun 2 ovne der var koblet til så jeg fik en masse gode råd om hvordan det fungerede, så da jeg byggede mit eget hus blev det med en plc styring af alt hvad jeg kunne tilslutte, så idag er mit hus med mig overalt via min smart Phone.