# Binary to Decimal Converter

## Enter Binary Number

## Decimal Number

#### Q: How to Binary to Decimal Converter?

Let’s take a number like we just did. That 1, 1, 0, 1, 0, 1,and let’s convert that. So that’s a base two number and we want to convert that to see what is that in decimal. When we’re converting between these bases, there’s no shorthand. 2 times 2 times 2times 2 is not 10. 2 times 2 times 2 is 8. There’s no equivalency there between the two and so we just have to go through and convert these based on the positional value of each digit. So again, we’ll do this kind of large down here. We’ve got one, two, three, four, five, six digits. And remember that each to calculate, just like we do in decimal and say that this is a this is the spot that’s 10 to the 0, so this is the 1 spot.

This is 10 to the 1, so this is the 10 spot. This is 10 to the 2 so that’s the 100 spots. You know this intuitively because you’ve done it for so long that if you get a number like this, you know right off the bat that’s 100,000. You know, right off the bat, that 100,000 in decimal. But we go through that same process in hexadecimal or binary and it’s confusing to you because it’s new. Well, let’s make it more intuitive by practicing with it. So we get 1, 1, 0, 1 again this is back to our same problem base 2, and we want to know what that is in base 10.

All numbers are going to have a decimal place. Either has zeros on this site or not. But anything to the left of this is a 0, and then if we goto to this side, it’s going to end up being 2 to the negative 1, 2 to the negative 2, and so on. But on this side scratch that for a minute on this site, we’re going to have 2 to the 0, 2 to the 1, 2 to the 2, 2 to the 3, 2 to the 5, 2 to the 5. And it’s really easy in binary again, because 2 to the 0 is always going to be any number power of 0 is 1. 2 to the 1 is going to be 2, 4 it’s always just going to be doubled 8, 16, 32. **Decimal to Binary Converter**