• Concept
• Application

Concept

Let’s take a number 147 for conversion. The calculation will be :
147 = 128 + 16 + 2 + 1

And now we can based on the table above and start allocate 1 for those involved in the calculation and 0 for not involving in the calculation.

Final result: 010010011

Application

function decimalBinaryConverter(decimal){
    const decimalArr = [256,128,64,32,16,8,4,2,1]
    let binary = ""
    for (let bit of decimalArr){
        if((decimal & bit) === bit){
            binary += "1"
        }else{
            binary += "0"
        }
    }
}

// will return `010010011`
console.log(decimalBinaryConverter(147))

Explanation

1. We first initialize a array variable called decimalArr with the decimal values from 2^N
2. Then we can start to iterate the array and start comparing the argument decimal with the index value of our decimalArr
3. We can utilize the bitwise AND operator. More reference on the AND logic gate
4. (decimal & bit) === bit
   • 147 & 128 will gives you 128
   • 147 & 64 will gives you 0
   • 147 & 32 will gives you 0
   • 147 & 16 will gives you 16
5. And we can based on this condition and convert our decimal to binary number accordingly