Data Types and Type Conversion
Overview
Teaching: 15 min
Exercises: 20 minQuestions
What kinds of data do variables store?
How can I convert one type to another?
Objectives
Explain key differences between integers and floating point numbers.
Explain key differences between numbers and character strings.
Use built-in functions to convert between integers, floating point numbers, and strings.
Recap from lesson about Data Types
Every value has a type
- Every value in a program has a specific type.
- Integer (
int
): whole numbers like 3 or -512. - Floating point number (
float
): fractional numbers like 3.14159 or -2.5. - Whole numbers may also be stored as floats, e.g.
1.0
, but1.0
would still be stored as afloat
. - Character string (usually called “string”,
str
): text (but not necessarily only letters).- Written in either single quotes or double quotes (as long as they match).
- The quotation marks aren’t printed using
print()
, but may appear when viewing a value in the Jupyter Notebook or other Python interpreter.
Use the built-in function type
to find the type of a value
We can use the built-in function type
to find out what type a value has.
- This works on variables as well.
- But remember: the value has the type — the variable is just a label.
- When you change the value of a variable to a new data type, the results of
print(type(your_variable))
will change accordingly.
print(type(52))
<class 'int'>
title = 'Biochemistry'
print(type(title))
<class 'str'>
Types control what operations (or methods) can be performed on a given value
- A value’s type determines what the program can do to it.
print(5 - 3)
2
print('hello' - 'h')
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
<ipython-input-2-67f5626a1e07> in <module>()
----> 1 print('hello' - 'h')
TypeError: unsupported operand type(s) for -: 'str' and 'str'
You can use the +
and *
operators on strings
- “Adding” character strings concatenates them.
full_name = 'Ahmed' + ' ' + 'Walsh'
print(full_name)
Ahmed Walsh
- Multiplying a character string by an integer N creates a new string that consists of that character string repeated N times (since multiplication is repeated addition).
- There are more ways that traditional math operators will work on other data types. There isn’t a perfect formula for figuring out what they do, so experimentation is valuable.
separator = '=' * 10
print(separator)
==========
Here, the variable “separator” is set to the value “=” (equals sign) ten times in a row.
Strings have a length (but numbers don’t)
- The built-in function
len
counts the number of characters in a string.
print(len(full_name))
11
- But numbers don’t have a length (not even zero).
print(len(52))
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
<ipython-input-3-f769e8e8097d> in <module>()
----> 1 print(len(52))
TypeError: object of type 'int' has no len()
Preventing Errors: Handling numbers and strings in Python Operations
- You cannot add numbers and strings.
print(1 + 'A')
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
<ipython-input-4-fe4f54a023c6> in <module>()
----> 1 print(1 + '2')
TypeError: unsupported operand type(s) for +: 'int' and 'str'
- This is not allowed because it’s ambiguous: should
1 + '2'
be3
or'12'
? - Some types can be converted to other types by using the type name as a function.
print(1 + int('2'))
print(str(1) + '2')
3
12
Integers and floats can be mixed freely in operations
- Integers and floating-point numbers can be mixed in arithmetic.
- Python automatically converts integers to floats as needed.
print('half is', 1 / 2.0)
print('three squared is', 3.0 ** 2)
half is 0.5
three squared is 9.0
Variables only change value when something is assigned to them
- If we make one cell in a spreadsheet depend on another, and update the latter, the former updates automatically.
- This does not happen in programming languages.
first = 1
second = 5 * first
first = 2
print('first is', first, 'and second is', second)
first is 2 and second is 5
- The computer reads the value of
first
when doing the multiplication, creates a new value, and assigns it tosecond
. - After that,
second
does not remember where it came from.
Exercises
Fractions
What type of value is 3.4? How can you find out?
Solution
It is a floating-point number (often abbreviated “float”).
print(type(3.4))
<class 'float'>
Automatic Type Conversion
What type of value is 3.25 + 4?
Solution
It is a float: integers are automatically converted to floats as necessary.
result = 3.25 + 4 print(result, 'is', type(result))
7.25 is <class 'float'>
Choose a Type
What type of value (integer, floating point number, or character string) would you use to represent each of the following? Try to come up with more than one good answer for each problem. For example, in # 1, when would counting days with a floating point variable make more sense than using an integer?
- Number of days since the start of the year.
- Time elapsed since the start of the year.
- Standard book loan period.
- Number of reference queries in a year.
- Average library classes taught per semester.
Solution
- Integer
- Float
- Integer
- Integer
- Float
Strings to Numbers
Where reasonable,
float()
will convert at string or an integer to a floating point number, andint()
wil convert a string or a floating point number to an integer.print("string to float:", float("3.4")) print("float to int:", int(3.4))
string to float: 3.4 float to int: 3
Note: conversion is some times also called typecast.
If the conversion doesn’t make sense, however, an error message will occur
print("string to float:", float("Hello world!"))
--------------------------------------------------------------------------- ValueError Traceback (most recent call last) <ipython-input-5-df3b790bf0a2> in <module>() ----> 1 print("string to float:", float("Hello world!")) ValueError: could not convert string to float: 'Hello world!'
Given this information, what do you expect the following program to do?
What does it actually do?
Why do you think it does that?
print("fractional string to int:", int("3.4"))
Solution
What do you expect this program to do? It would not be so unreasonable to expect the Python
int
command to convert the string “3.4” to 3.4 and an additional type conversion to 3. After all, Python performs a lot of other magic - isn’t that part of its charm?However, Python throws an error. Why? To be consistent, possibly.
--------------------------------------------------------------------------- ValueError Traceback (most recent call last) Cell In[1], line 1 ----> 1 print("fractional string to int:", int("3.4")) ValueError: invalid literal for int() with base 10: '3.4'
If you ask Python to perform two consecutive typecasts, you must convert it explicitly in code.
num_as_string = "3.4" num_as_float = float(num_as_string) num_as_int = int(num_as_float) print(num_as_int)
3
We could also write it in a single line like this:
int(float("3.4"))
Arithmetic with Different Types
Which of the following will print 2.0? Note: there may be more than one right answer.
first = 1.0 second = "1" third = "1.1"
first + float(second)
float(second) + float(third)
first + int(third)
first + int(float(third))
int(first) + int(float(third))
2.0 * second
Solution
Answer: 1 and 4.
- is correct
- gives 2.1
- gives an error because we cannot convert text to int directly
- is correct
- gives 2 (as an integer not as a float)
- gives an error because
second
is a string.
Division Types
Recap:
There are three different types of division:
- ‘Normal’ division (aka floating-point division) is what most people may be familiar with: 5 / 2 = 2.5
- Floor division, which cuts out the part after the period: 5 // 2 = 2
- Modulo division, which only keeps the remained after division: 5 % 2 = 1
In Python 3, the
/
operator performs floating-point division, the//
operator performs floor division, and the ‘%’ (or modulo) operator calculates the modulo division:print('5 / 3:', 5/3) print('5 // 3:', 5//3) print('5 % 3:', 5%3)
5 / 3: 1.6666666666666667 5 // 3: 1 5 % 3: 2
Exercise:
If
num_students
is the number of students enrolled in a course (let say 600), andnum_per_class
is the number that can attend a single class (let say 42), write an expression that calculates the number of classes needed to teach everyone.The output should look like this:
600 students, 42 per class 14 full classes, plus an extra class with only 12 students
Solution
Depending on requirements it might be important to detect when the number of students per class doesn’t divide the number of students evenly. Detect it with the
%
operator and test if the remainder that it returns is greater than 0.num_students = 600 num_per_class = 42 num_classes = num_students // num_per_class remainder = num_students % num_per_class print(num_students, 'students,', num_per_class, 'per class') print(num_classes, 'full classes, plus an extra class with only', remainder, 'students')
600 students, 42 per class 14 full classes, plus an extra class with only 12 students
Key Points
Every value has a type.
Use the built-in function
type
to find the type of a value.Types control what operations can be done on values.
Strings can be added and multiplied.
Strings have a length (but numbers don’t).
Preventing Errors: Handling numbers and strings in Python operations.
Integers and floats can be mixed freely in operations.
Variables only change value when something is assigned to them.