Math

Welcome to the Math section of JDCodebase! Many programming problems involve mathematical insights — whether it's number theory, bitwise operations, or pattern-based logic. Mastering math fundamentals makes you faster and more accurate in problem-solving.

What You’ll Learn

Number properties: even/odd, primes, divisibility
Factorials, combinations, and permutations
Modular arithmetic and modulo inverse
Bit manipulation basics: AND, OR, XOR, shifts
Digit operations and numeric tricks in code

Common JavaScript Math Methods

Math.floor(x): Rounds a number down to the nearest integer.

Before: Math.floor(3.7)
Code: Math.floor(3.7);
After: 3

Math.ceil(x): Rounds a number up to the nearest integer.

Before: Math.ceil(3.1)
Code: Math.ceil(3.1);
After: 4

Math.round(x): Rounds a number to the nearest integer.

Before: Math.round(2.5)
Code: Math.round(2.5);
After: 3

Math.abs(x): Returns the absolute (positive) value.

Before: Math.abs(-7)
Code: Math.abs(-7);
After: 7

Math.max(a, b, ...): Returns the largest of zero or more numbers.

Before: Math.max(1, 4, 2)
Code: Math.max(1, 4, 2);
After: 4

Math.min(a, b, ...): Returns the smallest of zero or more numbers.

Before: Math.min(1, 4, 2)
Code: Math.min(1, 4, 2);
After: 1

Math.sqrt(x): Returns the square root of x.

Before: Math.sqrt(25)
Code: Math.sqrt(25);
After: 5

Math.pow(base, exponent): Returns base raised to the power of exponent.

Before: Math.pow(2, 3)
Code: Math.pow(2, 3);
After: 8

x % y: Returns the remainder of division.

Before: 10 % 3
Code: 10 % 3;
After: 1

Bitwise Operators (&, |, ^, ~, <<, >>): Used for low-level manipulation and fast calculations.

Before: 5 & 3
Code: 5 & 3;
After: 1

Try This Example

Check if a number is prime.

function isPrime(n) {
    if (n <= 1) return false;
    for (let i = 2; i <= Math.sqrt(n); i++) {
      if (n % i === 0) return false;
    }
    return true;
  }

Input: 17

Expected Output: true