In programming, operators such as addition (+), multiplication (*), subtraction (-), and others are fundamental. This chapter covers basic operators, their applications, and JavaScript-specific nuances not typically covered in basic arithmetic.

Posted At: Jul 18, 2024 - 173 Views

Basic Operators and Mathematics in JavaScript and TypeScript 2024

Basic Operators and Mathematics in JavaScript and TypeScript

In programming, operators such as addition (+), multiplication (*), subtraction (-), and others are fundamental. This chapter covers basic operators, their applications, and JavaScript-specific nuances not typically covered in basic arithmetic.

Terms: "Unary", "Binary", "Operand"

  • Operand: The entities on which operators act. For instance, in 5 * 2, 5 and 2 are operands.
  • Unary Operator: An operator with a single operand, e.g., the unary negation (-) which reverses the sign of a number.
// JavaScript
let x = 5;
x = -x;
console.log(x); // -5
// TypeScript
let x: number = 5;
x = -x;
console.log(x); // -5
  • Binary Operator: An operator is binary if it has two operands. The same minus exists in binary form as well:
// JavaScript
let a = 10, b = 7;
console.log(a - b); // 3
// TypeScript
let a: number = 10, b: number = 7;
console.log(a - b); // 3

Math Operations

The following math operations are supported:

  • Addition (+)
  • Subtraction (-)
  • Multiplication (*)
  • Division (/)
  • Remainder (%)
  • Exponentiation (**)

Remainder %

The remainder operator %, despite its appearance, is not related to percents. The result of a % b is the remainder of the integer division of a by b.

Examples:

// JavaScript
console.log(11 % 3); // 2
console.log(15 % 4); // 3
console.log(10 % 5); // 0
// TypeScript
console.log(11 % 3); // 2
console.log(15 % 4); // 3
console.log(10 % 5); // 0

Exponentiation **

The exponentiation operator a ** b raises a to the power of b.

Examples:

// JavaScript
console.log(3 ** 2); // 9
console.log(2 ** 5); // 32
console.log(4 ** 0.5); // 2 (square root of 4)
// TypeScript
console.log(3 ** 2); // 9
console.log(2 ** 5); // 32
console.log(4 ** 0.5); // 2 (square root of 4)

String Concatenation with Binary +

The binary + operator can also concatenate strings:

Examples:

// JavaScript
let greeting = "Hello, " + "World!";
console.log(greeting); // Hello, World!
// TypeScript
let greeting: string = "Hello, " + "World!";
console.log(greeting); // Hello, World!

If any operand is a string, the other one is converted to a string too:

Examples:

// JavaScript
console.log('5' + 3); // "53"
console.log(2 + '5'); // "25"
// TypeScript
console.log('5' + 3); // "53"
console.log(2 + '5'); // "25"

Here's a more complex example:

Examples:

// JavaScript
console.log(3 + 3 + '4'); // "64"
console.log('4' + 3 + 3); // "433"
// TypeScript
console.log(3 + 3 + '4'); // "64"
console.log('4' + 3 + 3); // "433"

Numeric Conversion with Unary +

The unary + operator converts non-numbers into numbers. It does nothing to numbers.

Examples:

// JavaScript
let num1 = "7";
console.log(+num1); // 7

let bool = true;
console.log(+bool); // 1
// TypeScript
let num1: string = "7";
console.log(+num1); // 7

let bool: boolean = true;
console.log(+bool); // 1

Operator Precedence

If an expression has more than one operator, the execution order is defined by their precedence.

Examples:

// JavaScript
console.log(1 + 2 * 3); // 7 (Multiplication before addition)
console.log((1 + 2) * 3); // 9 (Parentheses change the order)
// TypeScript
console.log(1 + 2 * 3); // 7 (Multiplication before addition)
console.log((1 + 2) * 3); // 9 (Parentheses change the order)

Here's an extract from the precedence table:

PrecedenceNameSign
14Unary plus+
14Unary negation-
13Exponentiation**
12Multiplication*
12Division/
11Addition+
11Subtraction-
2Assignment=

Assignment

The assignment = operator assigns a value to a variable.

Examples:

// JavaScript
let z = 10 + 5;
console.log(z); // 15
// TypeScript
let z: number = 10 + 5;
console.log(z); // 15

Assignments can be chained:

Examples:

// JavaScript
let m, n, p;
m = n = p = 5 * 2;
console.log(m, n, p); // 10 10 10
// TypeScript
let m: number, n: number, p: number;
m = n = p = 5 * 2;
console.log(m, n, p); // 10 10 10

Modify-in-place

Short operators exist for modifying and assigning values:

Examples:

// JavaScript
let t = 4;
t += 3; // t = t + 3
console.log(t); // 7
// TypeScript
let t: number = 4;
t += 3; // t = t + 3
console.log(t); // 7

Increment/Decrement

Increment ++ increases a variable by 1, and decrement -- decreases it by 1.

Examples:

// JavaScript
let count = 0;
count++;
console.log(count); // 1

let decrement = 5;
decrement--;
console.log(decrement); // 4
// TypeScript
let count: number = 0;
count++;
console.log(count); // 1

let decrement: number = 5;
decrement--;
console.log(decrement); // 4

The prefix form returns the new value, while the postfix form returns the old value.

Examples:

// JavaScript
let val1 = 3;
let res1 = ++val1; // Prefix
console.log(res1); // 4

let val2 = 3;
let res2 = val2++; // Postfix
console.log(res2); // 3
// TypeScript
let val1: number = 3;
let res1: number = ++val1; // Prefix
console.log(res1); // 4

let val2: number = 3;
let res2: number = val2++; // Postfix
console.log(res2); // 3

Bitwise Operators

Bitwise operators work on the binary representation of numbers. They include &, |, ^, ~, <<, >>, >>>.

Examples:

// JavaScript
console.log(5 & 1); // 1 (AND)
console.log(5 | 1); // 5 (OR)
console.log(5 ^ 1); // 4 (XOR)
// TypeScript
console.log(5 & 1); // 1 (AND)
console.log(5 | 1); // 5 (OR)
console.log(5 ^ 1); // 4 (XOR)
``

Comma Operator

The comma operator , evaluates multiple expressions and returns the result of the last one.

// JavaScript
let x = (1 + 2, 3 + 4);
console.log(x); // 7
// TypeScript
let x: number = (1 + 2, 3 + 4);
console.log(x); // 7

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