Get the free the base of a number system determines the total number of unique symbols used by th...

Name Class Date ID A MECH 1500 Quiz 2 Review True/False Indicate whether the statement is true or false. The decimal system uses the number 9 as its base. All digital computing devices perform operations in binary. The base of a number system determines the total number of unique symbols used by that system. In any number system the position of a digit that represents part of the number has a weighted value associated with it. Name Class Date ID A MECH 1500 Quiz 2 Review True/False Indicate...

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JAMES GRIME: There are people out there who want to change the way that you count. They want to change the world so that we stop counting using 10 symbols and start counting using 12 symbols. I love them. I think these guys are great. Let's talk about what we know so far. So, the way we count is the decimal system. It uses 10 symbols. So, let's just write those out, first. 0, 1, 2, 8, 9. Once we get to this point, we start to have to make our numbers using combinations of the symbols we've already got. 12, 13, 14, 22, 23. Now, if we had been born with six fingers on each hand, then we would have 12 fingers, and maybe we would have started using something called the dozen system where it's based on 12 symbols. And there are some people out there who think this is the system we should be using. They think we should have six fingers on each hand. They're disappointed we don't have six fingers on each hand, because they think it's a much easier way to count. So first, if we're going to use 12 symbols, I need two extra. Let's have a look at what they suggest. For 10, we're going to have a symbol like this. That's called deck. And for 11, we're going to have a symbol like this, which is called El. So now it reads 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, deck, El. This would be 12. In fact, they say do. So this is done, do 1, do 2, do 3, do 4, do 5, do 6, do 7, do 8, do 9, do deck, and do El. So, do El would be 12 and 11 more. So that's 23, and then you keep counting. 2 do is 24, so 2 do. Two do 1, 2 do 3, 2 do 4, and so on. Just like decimal system, really. It's the exact same idea. There's no difference between the dozen system and the decimal system. That would be 3 do, this would be 4 do. You keep going, and you would get 9 do, then you would get deck do, El do, and then you'd get do. Do. 12 12s. 12 12s, that's 144, 12 12s, or gross. So if we write that out, 12 12s will be written like this. It's 144, or gross, or go So that would be a go. Something like this would be a mo. So if we take this year, it's 2012, which is a good year to pick, since we were talking about 12. So if we took the year 2012, in the dozen system, it's written like this. That is mo go El 8. That's the current year if you count in base 12. Now, there is a reason why these guys want to count this way. Because they say it's going to make arithmetic much easier. I want to make this clear. For serious math, this system would not make any difference. But for day to day life, for your regular shopping, these guys reckon that this 12 system would make life much easier because of the number of factors that 12 has. So 10 has-- let's see. How many factors does it have? It has 1. 10 has 2, 5, and 10 itself. But 12 has much more factors. It has 1, it has 2, it has 3, it has 4, it has 6, and it has 12 itself. The reason this is useful is it will make calculations using thirds and quarters much easier than they are in decimal. Let's do something like a 4 times table. If we did that in decimal, it would...

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Form base of a is a form used to report certain financial information.

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