Computer Basics 4: Decoding a Binary NumberYouTube↗  IA↗(long shot)
Education  28.8K views 0 likes 0 dislikes   17 Jul 2015
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Spanish Jose Alonso
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Hi, I'm Briana with freeCodeCamp
¡¡ Hola, soy Briana de freeCodeCamp !!
and today we're going to be talking about the
y hoy vamos a hablar del
Binary Numeral System,
sistema binario
also known as a bunch of 1's and 0's
que es una sucesión de unos y ceros
over and over again.
We're going to start by labeling, starting backwards,
Empecemos asignando un número a cada dígito,
how many numbers there are.
empezando desde atrás.
This will be zero, one, two, three, four, five, six.
cero, uno, dos, tres, cuatro, cinco, seis
Pretty straightforward so far.
muy fácil hasta aquí
The next step that we're going to do is:
Lo siguiente que haremos será
Take two to the power of whatever place it is.
calcular dos elevado al número indicado en cada posición
So here, it'll be two to the power of zero,
Aquí será dos elevado a cero,
two to the power of one,
dos elevado a uno
two to the power of two,
dos elevado a dos,
two to the power of three,
dos elevado a tres,
you get the picture.
y así sucesivamente.
Alright, now that we've got the two to the given power
Ahora que tenemos los doses elevados a la potencia correspondiente,
figured out all we got to do is
lo que tenemos que hacer es
fill in some lengths and we'll have our solution.
algunos cálculos y llegaremos a la solución.
Two to the power of zero is one.
Dos elevado a cero es uno.
Two to the power of one is two.
Dos elevado a uno es dos.
Two to the power of two is four.
Dos elevado a dos es cuatro.
We've got 8, 16, 32, 64.
y luego, tenemos 8, 16, 32 y 64.
And that just keeps going on and on.
y seguiríamos si hubiese más dígitos.
Next what we're going to do is see which ones of
Ahora tenemos que pensar
these numbers do we keep.
qué numeros conservamos.
So the next step: figure out which numbers do we keep.
Siguiente paso: averiguar qué hacemos con esos números.
Do we just add all of these together?
¿Los sumamos todos y ya está?
And if these were all ones, then yes we would.
Si sólo tuviéramos unos, podríamos.
But some of them are zeros.
Pero tenemos algunos ceros.
The zero is the same thing as an off switch.
El cero equivale a un interruptor apagado.
1 being on, 0 being off.
1 es encendido, 0 es apagado.
So we can go ahead and cross all of these out right here
Así que podemos tachar todos estos,
because they're they're not going to really matter.
porque no importan.
We want to keep this one, this one here, and here
Nos quedamos con éste, con éste y con éste,
because they have the corresponding 1's
porque corresponden a unos,
which means: Yes! It's on!
lo cual significa que están encendidos
We want to keep that number.
y nos quedaremos con esos números.
Basically from here on out. We're just going to add these
Así que desde aquí, vamos a sumar
four numbers together. [Adding] Giving us, we've got 72, 74, 75.
estos cuatro números. Esto nos da 72, 74, 75.
So this number in binary means 75.
Así que este número binario equivale al número 75 (en decimal).
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