How do you convert a number between decimal and binary?

The number system we use to write numbers is called a positional system. Each digit of the number is a multiplier of the increasing powers of the base. So for binary:
1011₂ = 1 * 2³ + 0 * 2² + 1 * 2¹ + 1 * 2⁰ To convert the number 1011₂ to decimal, we simply need to add and multiply:= 8 + 0 + 2 + 1 = 11₁₀ (we usually don't write the base in decimal number, this is just for illustrative purposes.
To convert a decimal number into binary, we use a different method. We take on any decimal number, e.g. 294, and continuously divide it by 2 with a reminder, like so:
294 : 2 = 147 | remainder: 0 - least significant bit (last digit)147 : 2 = 73 | remainder: 173 : 2 = 36 | remainder: 136 : 2 = 18 | remainder: 018 : 2 = 9 | remainder: 09 : 2 = 4 | remainder: 14 : 2 = 2 | remainder: 02 : 2 = 1 | remainder: 01 : 2 = 0 | remainder: 1 - most significant bit (first digit)0
So the decimal number 294 converts to: 100100110₂And this holds for all numbers.