If you missed lesson #1, you can take a look at it here.
Last lesson you gained the understanding of how computers work, what bits are, and how to use the binary numbering system. You learned what basic data types are, their characteristics and how they behave. We only touched the definitions and basic use cases of Numbers.
Now you’ll see why math is important.
This time you will see how to make numbers interact with each other. The main thing you can do with numbers is arithmetic.
99 + 6 * 12
* symbols are called operators. What do you think happens first in the expression above? Have in mind the first operator stands for addition while the second stands for multiplication. Putting an operator between two values will cause it to produce a new value. Remember math class in primary school? Do you realize now how important that was?
The result of the expression above is
12 are multiplied, then the result is added.
What about now?
(99 + 6) * 12
22 - 5 / 7
7 / (27 + 3) * 99
When operators appear together without parentheses, the order in which they are applied is determined by the precedence of the operators. First multiplication and division are calculated, then addition and subtraction. Same as when using operators in math!
The four main arithmetic operators are, like in math:
% symbol is used to represent the remainder operator.
X % Y is the remainder of dividing
314 % 100 = 14
This operation is often called modulo or modulus. However remainder is a but more accurate.
What about strings?
Good question. Strings cannot be manipulated with arithmetic operators. They cannot be divided, multiplied nor subtracted. Now comes the funny bit. The + operator can be used on strings. But this process does not add strings. It only glues them together in a process called concatenation.
This expression will form the string value concatenate.
'con' + 'ca' + 'te' + 'nate'
Enough about arithmetic, let’s talk about something more interesting. Operators don’t need to be symbols, there are many different types of operator, one of which stands out.
This operator is unary, which means it operates on a single value.
This expression will return a single string value naming the type of the value to the right of the operator. In this case,
typeof 12.7 would be equal to ‘number’. What do you think would be the value of the expression below?
If you guessed
'string', then you deserve a gold star! Good job, you’re getting the hang of this.
All arithmetic operators are binary which means they operate on two values. The operator,
typeof is not, as it only operates on one. In all general cases, you will only ever come across the fact that
(-) can also be a unary operator.
- (16 - 5)
The expression above equals
-11. The minus operator changes the sign of the number value, making it, in turn, a unary operator.
To understand the concept of binary operators you first need to get acquainted with Boolean values. A Boolean value is simply a value that has the possibility of being either
false. Just like a light switch. It’s either on, or off. A value is present, or it is not. The values of
false are actual values stored in the computer’s memory.
So, what’s a binary operator now? It compares two values. It operates on two values.
3 > 2
7 < 4
These are examples of binary operators, the less than sign
(<), and the greater than sign
(>). Applying these operators to two numbers, as in this case, has the result in the shape of a Boolean value that indicates whether the expression holds true. Remember primary school math? How many more operators like these two are there?
>=is greater than or equal to
<=is less than or equal to
==is equal to
!=is not equal to
Which of these expressions hold true?
Don’t look at the solutions below before trying it yourself!
1. 9 / 3 + 1 <= 4 * 2 - 4
2. 2 + 5 * 2 > 3 - 4 / 2
3. 1 * 54 == 25 / 5 * 20
Great work! You’ve brushed up on your math skills and applied them in the field of programming. Arithmetic and operators are the core building blocks of any program. These expressions are used to check the validity in many parts of our programs. The true or false value dictates whether the program will continue executing or follow a totally opposite flow of control. These concepts will all be crystal clear to you in a few lessons when we get into them in more detail. Join me in the next lesson when I’ll be writing about logical operators, special values, and precise type comparisons.
You can read the next lesson here.
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