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# Integers

**00:00**
Let’s get started looking at integers.

**00:05**
Integers—what is an integer? Well, an integer is a whole number, the kind you started out counting out when you first learned about numbers at school. In Python 3, an integer is any length up to the memory limit of the computer, so you probably won’t run out of integers that you can use.

**00:25**
The default is in decimal—base 10—but as you’ll see, you’ll be able to define them and view them in different bases. You’re going to see how to create integers and different ways you can work with them in the following videos.

**00:42**
Throughout these workshops, our coding will be done using bpython, which is a version of the Python REPL that uses docstrings and color coding to make understanding code more simple. With that housekeeping out of the way, let’s look at ints.

**00:57**
As you’ve already seen, an `int`

is a whole number, and they can be created easily as seen here—creating a variable `a`

with a value of `1`

and `b`

with a value of `10`

.

**01:11**
We can see that `a`

has a value of `1`

, and `b`

has a value of `10`

. It’s possible to do simple arithmetic, such as `a + b`

, seen here, or `a - b`

. And the results are as we would expect. As mentioned previously, the default for these numbers is decimal, or base 10, but it’s possible to use other bases.

**01:37**
We can have them in binary, hexadecimal, or octal. If we want to define one in binary, here we can see we’re defining `c`

, and we start off with `0b`

and then put in the binary digits that make the number up.

**01:53**
And now we’ve defined `c`

, and if we hit `c`

and Enter, the value—as you can see—is `343`

in decimal. This is a nice, quick, easy way to convert binary numbers to decimal.

**02:09**
Here, one can be defined in octal, again using a similar pattern, but `0`

and then `o`

, for *octal*, and then putting some octal digits.

**02:18**
And again, `d`

equates to `153802`

in decimal. And `e`

will be defined in hexadecimal using `0x`

before the digits which make it up—in this case, `ac4d`

.

**02:32**
And that equates to `44109`

in decimal. Now sometimes, you’ll be in a situation where you’ve got a string which is a number, but you need to equate it to an `int`

.

**02:47**
Here I’m going to define `my_num`

as a string of `'1235'`

. If you try and do some addition with that, `my_num + b`

, you can see it doesn’t work.

**03:02**
We get a `TypeError`

and you can see that it’s trying to concatenate the string and `b`

. So, it’s actually not doing what you’d think at all, and certainly not the addition we were looking for.

**03:16**
So what’s needed is to convert `my_num`

into an integer to allow maths to be performed on it. That’s done using the keyword `int()`

, and inside we’ll put the original variable `my_num`

, and you can see that now equates to the number `1235`

, whereas `my_num`

is the string with the quotes enclosing it.

**03:40**
And there you can see the `int`

doesn’t have any quotes.

**03:48**
Now, we can define `my_num_2`

as the `int()`

with a value of `my_num`

, and now it’s possible to do the maths on it. `+ b`

gives us the value of `1245`

.

**04:05**
As you’ll see with all of the variables in this course, it’s possible to inspect the type of them using `type()`

. So here, `type()`

and then we put any of our variables in, and we can see that they are the `<class 'int'>`

, which is for integer variables.

**04:21**
And helpfully, you can see that the reported `<class 'int'>`

is the same as the keyword used to cast a variable into that type.

**04:33**
You’ve already seen how to define an integer using a base of binary, oct, or hexadecimal, but it’s also possible to perform the translation the other way around.

**04:45**
Now you’re going to see that in action using the `my_num_2`

variable, in converting it to different bases. First, it’s possible to create a binary representation of it using the `bin()`

keyword, and now you have the binary representation of `my_num_2`

. Using `oct()`

gives us the octal representation of `my_num_2`

.

**05:08**
And using `hex()`

gives us the hexadecimal version of that number. Remember, it’s still the same number—we’re just representing it in different bases.

**05:19**
You can see that these are three easy ways to represent the same number in binary, octal, or hexadecimal. And that covers integers!

**Cory** on April 23, 2020

May sound stupid, but why does bin(), oct(), hex() return a string? Does it have to deal with underlying programming of python seeing alphanumerics as a string? I apologize I like knowing how things work.

**NICKS** on Feb. 28, 2021

There aren’t any integer hex, octal, or binary objects. There are only alternative methods of creating integer objects.

The hex, octal, or binary are just string representation of the underlying integer objects. The link below explains it in a very clearly - mail.python.org/pipermail/tutor/2008-August/063967.html

**avinashk2** on March 29, 2021

How to convert `bin(27)`

to base 10 `int`

since bin gives us string?

**Bartosz Zaczyński** RP Team on March 29, 2021

**@avinashk2** If you call the built-in `int()`

function with two parameters, the first one is expected to be a string with digits while the second one is the base of the system, for example:

```
>>> int("11011", 2)
27
```

You can take the output of `bin(27)`

, drop the `0b`

prefix, and pass it back to the `int()`

function:

```
>>> bin(27)
'0b11011'
>>> bin(27)[2:]
'11011'
>>> int(bin(27)[2:], 2)
27
```

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emalfizaon Jan. 24, 2020I had researched and dived to so many resources for the fundamentals of Pyhton, this is the first amazing one that I come across. Till now I didnt know we could get the Bin, Oct and Hex in python numbers… wow