Decimal to Binary, New equation!

 Have you ever imagined we could convert decimal to binary using an expression?

Well no, we always use a `long division` like method ,see Fig.1

Fig.1: image source

Is there a computer expression?

Before that lets see some interesting patterns of binary ,see Fig.2

Fig.2 notice the image carefully

As you can see 

in row 1 patern goes like 0,1,0,1,0,1,0,1 because row 1 is for [place holder 1-top to bottom]

in row 3 patern goes like 0,0,0,0,1,1,1,1 because row 3 is for [place holder 4-top to bottom]

Note: I mean rows as from right to left

The expression!

Values Here:

Number: 0-infinity (a value to be converted to binary)

binary holder: 1 / 2 / 4 / 8 / 16 / 32 / ... (Place of binary needed, just like tens, hundreds)

Result: 0 or 1

 

Is it not interesting when there is no if condition, and we can get 0 or 1 with just a simple expression?

Expression in words:

expression 1: [the number, subtracted from (reminder we get ,when we divide the same number by binary holder)]

note that, result of expression 1 is completely divisible by binary holder.

expression 2: [expression 1 divided by binary holder and getting its reminder when we divide it by 2]

the answer of expression 2 is either 0 or 1.

Expression in code(js):

function placeNeeded(number) {
  var i;
  for (i = 1; Math.pow(2, i) <= number; i++) {}
  return i;
}

function FindBinary(Number) {/*main Function*/
  var x;
  var placeRequired = placeNeeded(Number); /*instead of the function you can even set 5 or 6,
but if the Number(like 19) exceeds,then some of binary digits will be trimmed,BE AWARE,using the function is better*/
  var BinaryValue = "";
  var binaryHolder = 1;
  for (x = 1; x <= placeRequired; x++) {
    var Algorithm =
      ((Number - (Number % binaryHolder)) / binaryHolder) %
      2; /*main Algorithm*/
    BinaryValue = Algorithm + BinaryValue;

    console.log(BinaryValue, "Debug output(from function)");//REMOVE THIS LINE
    binaryHolder += binaryHolder;
  }
  return BinaryValue;
}
console.log(FindBinary(19), "Result");//Use it AS PER YOUR NEED