I would appreciate it if you could clarify the functionality of the remainder operator in this

I find it puzzling how the == 0 is used in conjunction with the remainder part of the code. Take for instance (4+4) % 2 == 0, it seems like it should evaluate to 4, but this piece of code actually generates outputs like true, false, true, false, and so on.

var size = 8;

var board = "";

for (var y = 0; y < size; y++) {
  for (var x = 0; x < size; x++) {
    if ((x + y) % 2 == 0)
      board += " ";
    else
      board += "#";
  }
  board += "\n";
}

console.log(board);

Answer №1

let size = 8;

let board = "";

for (let y = 0; y < size; y++) {
  for (let x = 0; x < size; x++) {
    if ((x + y) % 2 == 0)
      board += " ";
    else
      board += "#";
  }
  board += "\n";
}

console.log(board);

Functioning as anticipated.

The remainder is generated by the modulus operator. Using this, you can create a checkerboard pattern. To reverse it, utilize === 1. If you desire each row to be the same, simply use x%2 === 0 or x%2 === 1.

Answer №2

When we add 4 and 4, then find the remainder when divided by 2.

After dividing 8 by 2, we get 4 as the quotient and 0 as the remaining value.

This operation helps us determine the remaining value after division.

For example, when finding the remainder of 10 divided by 17, we get 10.

Using long division for the above case,

1) We see there are no multiples of 17 in 10, so the answer is 0.

2) Subtracting 0 times 17 from 10 leaves us with a remainder of 10.

Answer №3

% represents the modulus operation in mathematics. The result of this operation is the remainder obtained after dividing one number by another. For example, when we calculate (4+4)%2, it is equivalent to 8%2. Since 2 evenly divides into 8 without any remainder, the output will be 0.

Answer №4

It seems that there might be a misunderstanding in how the modulo operator works. This particular example demonstrates the modulus remainder of each iteration. If the division on the left side of the equation results in no remainder, then the output is 0.

const size = 8;

let board = "";

for (let y = 0; y < size; y++) {
  for (let x = 0; x < size; x++) {
    console.log(x + ' plus ' + y + ' (' + (x+y) +') modulus 2 equals ' + (x + y) %2);
    board += ((x + y) % 2 === 0) ? " " : "#";
  }
  board += "\n";
}

console.log(board);

Answer №5

Consider %(modulo) to be the 'leftover' after division

Here are a few examples...

10 % 2 = 0; // 2 divides into 10 evenly with no remainder

12 % 2 = 0; // 2 divides into 12 without any left over

5%2 = 1; // 2 divides into 5 once, leaving a residue of 1

6%3 = 0; // 3 goes into 6 completely, nothing remains

3%5 = 3; // 5 cannot divide into 3, so the remainder is 3, which equals the initial number

(4+4)%2 = 0 // When you add 4 and 4 first, then take modulo 2, the result is 0

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