# Binary decimal places

Next we disregard the whole number part of the previous result the 1 in this case and multiply by 2 once again. The whole number part of this new result is the second binary digit to the right of the point. We will continue this process until we get a zero as our decimal part or until we recognize an infinite repeating pattern. Disregarding the whole number part of the previous result this result was.

The whole number part of the result is now the next binary digit to the right of the point. So now we have. In fact, we do not need a Step 4. We are finished in Step 3, because we had 0 as the fractional part of our result there.

You should double-check our result by expanding the binary representation. The method we just explored can be used to demonstrate how some decimal fractions will produce infinite binary fraction expansions. This is just a way of writing down a value. Other ways include Roman Numerals , Binary , Hexadecimal , and more. You could even just draw dots on a sheet of paper! The Decimal Number System is also called "Base 10", because it is based on the number 10, with these 10 symbols:.

But notice something interesting: But you don't have to use 10 as a "Base". You could use 2 "Binary" , 16 "Hexadecimal" , or any number you want to! The whole number part of the result is the first binary digit to the right of the point. So far, we have. Next we disregard the whole number part of the previous result the 1 in this case and multiply by 2 once again.

The whole number part of this new result is the second binary digit to the right of the point. We will continue this process until we get a zero as our decimal part or until we recognize an infinite repeating pattern.

Disregarding the whole number part of the previous result this result was. The whole number part of the result is now the next binary digit to the right of the point. So now we have. In fact, we do not need a Step 4. We are finished in Step 3, because we had 0 as the fractional part of our result there.