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- [Instructor] The binary number system works the same way as the decimal number system. The only difference is what each of these places represents. This is a four digit binary number 1010. Each of these digits can also be called a bit, since a bit represents zero or one. Now this four digit number equals the decimal number 10. And were going to see why. This first place, this is the ones place, just like in decimal. Now theres zero here, so that means were gonna multiply zero times one, get the very exciting value of zero. The second place, the second bit here, thats where things get more interesting. This is actually the twos place, not the tens place, and theres a one here, so were gonna multiply one times two. So so far, this number equals two. The third place, the third bit, this is zero and this is the fours place. So were going to multiply zero times four, which is once again just zero. And were still looking at the number two. Finally, this fourth bit here, this is the