From the course: Computer Science Principles: Digital Information

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Binary numbers

Binary numbers

From the course: Computer Science Principles: Digital Information

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Binary numbers

- [Voiceover] Binary states are the basis of how computers store, process and share information using states of on or off. Using the binary number system we can represent these states using a base two system with two digits, zero and one. Using the rules of number systems we can create a system for what a binary digit looks like. We have a maximum of two possible digits, zero and one. We then, also, have multiple columns that exponentially increase in value from right to left based on two, the base number of the system. If we count up from zero, we can see how binary begins to work. First, I start with zero, then I add one, making it one. If I add again, I've maxed out the possible number of digits in the first column, so I then carry that over to the next column and return back to zero in the first. We continue to add one, adding digits to the number and eventually get one that is several digits consisting of multiple ones and zeros. Using the formula, we can apply it to each column.…

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