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1.8 — Introduction to literals and operators

Literals

Consider the following two statements:

What are “Hello world!” and 5? They are literals. A literal (also known as a literal constant) is a fixed value that has been inserted directly into the source code.

Literals and variables both have a value (and a type). However, the value of a literal is fixed and can’t be changed (hence it being called a constant), whereas the value of a variable can be changed through initialization and assignment.

Operators

In mathematics, an operation is a mathematical calculation involving zero or more input values (called operands) that produces a new value (called an output value). The specific operation to be performed is denoted by a construct (typically a symbol or pair of symbols) called an operator.

For example, as children we all learn that 2 + 3 equals 5. In this case, the literals 2 and 3 are the operands, and the symbol + is the operator that tells us to apply mathematical addition on the operands to produce the new value 5.

Author's note

For reasons that will become clear when we discuss operators in more detail, for operators that are symbols, it is common nomenclature to append the operator’s symbol to the word operator.

For example, the plus operator would be called operator+, and the extraction operator would be called operator>>.

You are likely already quite familiar with standard arithmetic operators from common usage in mathematics, including addition (+), subtraction (-), multiplication (*), and division (/). In C++, assignment (=) is an operator as well, as are << (insertion) and >> (extraction). Some operators use more than one symbol, such as the equality operator (==), which allows us to compare two values to see if they are equal. There are also a number of operators that are words (e.g. new, delete, and throw).

The number of operands that an operator takes as input is called the operator’s arity (almost nobody knows what this word means, so don’t drop it in a conversation and expect anybody to have any idea what you’re talking about). Operators in C++ come in three different arities:

Unary operators act on one operand. An example of a unary operator is the - operator. For example, given -5, operator- takes literal operand 5 and flips its sign to produce new output value -5.

Binary operators act on two operands (known as left and right). An example of a binary operator is the + operator. For example, given 3 + 4, operator+ takes the left operand (3) and the right operand (4) and applies mathematical addition to produce new output value 7. The insertion (<<) and extraction (>>) operators are binary operators, taking std::cout or std::cin on the left side, and the item to output or variable to input to on the right side.

Ternary operators act on three operands. There is only one of these in C++, which we’ll cover later.

Note that some operators have more than one meaning depending on how they are used. For example, operator- has two contexts. It can be used in unary form to invert a number’s sign (e.g. to convert 5 to -5, or vice versa), or it can be used in binary form to do subtraction (e.g. 4 - 3).

Chaining operators

Operators can be chained together such that the output of one operator can be used as the input for another operator. For example, given the following: 2 * 3 + 4, the multiplication operator goes first, and converts left operand 2 and right operand 3 into new value 6 (which becomes the left operand for the plus operator). Next, the plus operator executes, and converts left operand 6 and right operand 4 into new value 10.

We’ll talk more about the order in which operators execute when we do a deep dive into the topic of operators. For now, it’s enough to know that the arithmetic operators execute in the same order as they do in standard mathematics: Parenthesis first, then Exponents, then Multiplication & Division, then Addition & Subtraction. This ordering is sometimes abbreviated PEMDAS, or the mnemonic “Please Excuse My Dear Aunt Sally”.

Quiz time

Question #1


For each of the following, indicate what output they produce:

a)

Show Solution

b)

Show Solution

c)

Show Solution


1.9 -- Introduction to expressions
Index
1.7 -- Keywords and naming identifiers

32 comments to 1.8 — Introduction to literals and operators

  • insertion chaining operators

    I have a question regarding: binary operator << (insertion)

    1) If we have the following code, is it an example of chaining operators too?

    2) for the first operator <<, we have std::cout on the left and string literal on the right, how about the second operator <<?How its operands are defined and processed because the string literal is already considered for the first operator <<?

    3)Also is operator << in general processed from left to right or right to left?

    Thank you.

    • nascardriver

      1)
      Yes

      2)

      The first part returns `std::cout`.

      3)
      Left to right, but the individual parts are executed in an unspecified order, more on that later.

  • involving zero input value

    "In mathematics, an operation is a mathematical calculation involving zero or more input values (called operands) that produces a new value (called an output value). "

    Would you please give me an example of an operator that has zero operands?

    Thank you.

    • Alex

      Many architectures support an operation called a "no op", which is an operation that has no operands. It does nothing for one clock-cycle, and is often used for delays. See https://en.wikipedia.org/wiki/NOP_(code)

  • Ed

    (2+3)+4 this would equal 9

  • Igor B.

    I'm not a native English speaker, but arity term (even if it's new word) sounds like quite a good generalization for a row: UnAry, BinAry, TernAry.
    BTW, I've not said yet - thank you for the tutorial! So far it's great!

  • Vitaliy Sh.

    in <p>'s "You are likely already..."; "Binary ..."
    (+), (-), (*), (/), (=), (==), (<<), (>>).

    ** <code>?

  • Jim

    I'm not sure if this is a dumb question or not.

    But aren't the brackets and braces in C++ also considered operators?  Including ( ), { }, [ ].

    How are these signs treated in C++ $, %, ^,. ?
    I'm sure that you can always output the words dollar and percent instead.  The up-arrow (to the power of) could be extended out with multiplication> But I'm sure programmers have figured out how to do this in C++ by now.

    • nascardriver

      (), [], % and ^ are operators. ^ is a bitwise xor, not a power operation.
      {} isn't an operator. It's used for scoping and initialization.
      $ has no use in C++.

  • Marie Bethell

    Hi, I think there's a typo; "Consider the following two statement: ". There should be an s on the end of statement.

  • geekersquad

    what is operand?

  • Bella

    How can you identify the difference between literals and variables?
    I mean isn't a literal printed out the exact same way as a variable?
    How do we know the difference. You wrote here...

    "Literals and variables both have a value (and a type). However, the value of a literal is fixed and can’t be changed (hence - called a constant), whereas the value of a variable can be changed through initialization and assignment."

    std::cout << "Hello world!";
    int x{ 5 }; // you said “Hello world!” and 5 are literals.

    OKAY... you're saying "5" is a literal even though it has underwent the procedure of initialization by using { }.
    The "hello world" text, I understand can be viewed as both a literal and variable(data)
    but the - 'int x {5}' -  I don't understand.
    Is identifying the difference between literal and variable/ data important? As I'm struggling to understand this topic.

    • A literal is the value you write down in your code. 5 and "Hello world!" are literals, what you do with them doesn't matter. `x` is a variable.
      If you don't understand it, you'll probably get the hang of it as you go along.

  • Nice

    Thank you so much for this, man. It's really helpful and easy to understand

  • km

    Does this not turn 5 into a variable?? int x { 5 }
    I can change the value of x after this which means it's not a constant right?

  • Rutvik Kapade

    dude i really love you ,this is like a online c++ bible for me and its free and really easy to understand ,god bless you. I am a student and i dont earn ,but this is helping me alot. = ) thanks again!

  • Andu

    Hi,

    "For example, the plus operator would be called operator+, and the extraction operator would be called operator<<." Should be operator>> !?

  • This is sooooo useful Thanks SOOO much whoever made this <3

  • Henrique dos Santos

    It's PEMDAS, not PEDMAS according to https://en.wikipedia.org/wiki/Order_of_operations

    • Alex

      Acronym fixed! Thanks for pointing out the omission.

      • Walter

        The acronym works both ways, and I've heard PEDMAS myself. I think it might be a USA vs UK thing?

        • Alex

          Yeah, I learned PEDMAS, but I think PEMDAS is more common and better because "Please Excuse My Dear Aunt Sally" is an easy mnemonic.

          • PEDMAS, PEMDAS and BODMAS all work. Multiplication & division are actually done in the same order, similar to addition and subtraction.

          • In my school, I had learnt about BODMAS rule and that is what knew till date.
            I heard the acronym PEMDAS for the first time in this article.

            Yes, all these mmemonics are due to geographic reasons.
            (https://en.wikipedia.org/wiki/Order_of_operations)

            In the United States, the acronym PEMDAS is common. It stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. PEMDAS is often expanded to the mnemonic "Please Excuse My Dear Aunt Sally".

            Canada and New Zealand use BEDMAS, standing for Brackets, Exponents, Division/Multiplication, Addition/Subtraction.

            Most common in the UK, Pakistan, India, Bangladesh and Australia and some other English-speaking countries is BODMAS meaning either Brackets, Order, Division/Multiplication, Addition/Subtraction or Brackets, Of/Division/Multiplication, Addition/Subtraction. Nigeria and some other West African countries also use BODMAS.
            Similarly in the UK, BIDMAS is also used, standing for Brackets, Indices, Division/Multiplication, Addition/Subtraction.

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