[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:17.45,0:00:21.61,Default,,0000,0000,0000,,Hello and welcome to the first\Nvideo of the binary numbers. In
Dialogue: 0,0:00:21.61,0:00:25.43,Default,,0000,0000,0000,,this video. I would like to\Nintroduce you to the binary
Dialogue: 0,0:00:25.43,0:00:29.25,Default,,0000,0000,0000,,numbers and the binary number\Nsystem, but for us to understand
Dialogue: 0,0:00:29.25,0:00:34.11,Default,,0000,0000,0000,,that we need to look at what the\Ndecimal number system is and we
Dialogue: 0,0:00:34.11,0:00:38.27,Default,,0000,0000,0000,,need to look at the powers\Nbecause powers are at the heart
Dialogue: 0,0:00:38.27,0:00:41.74,Default,,0000,0000,0000,,of every number systems. So\Nlet's start with the powers.
Dialogue: 0,0:00:43.80,0:00:47.68,Default,,0000,0000,0000,,3 to the power of two is 3
Dialogue: 0,0:00:47.68,0:00:54.72,Default,,0000,0000,0000,,* 3. And for example, 5\Nto the power of four is 5
Dialogue: 0,0:00:54.72,0:01:00.73,Default,,0000,0000,0000,,* 5 * 5 * 5. So\Nthere are two important concepts
Dialogue: 0,0:01:00.73,0:01:02.74,Default,,0000,0000,0000,,in here, the power.
Dialogue: 0,0:01:03.76,0:01:07.71,Default,,0000,0000,0000,,And the base, they both can be\Nany different whole numbers.
Dialogue: 0,0:01:08.64,0:01:14.65,Default,,0000,0000,0000,,So the power tells us how many\Ntimes we need to multiply the
Dialogue: 0,0:01:14.65,0:01:19.27,Default,,0000,0000,0000,,base together. So in this\Nparticular case, four tasmac 2
Dialogue: 0,0:01:19.27,0:01:24.81,Default,,0000,0000,0000,,multiplied the base 5 by itself\Nfour times, and in the example
Dialogue: 0,0:01:24.81,0:01:30.35,Default,,0000,0000,0000,,of three, the two tags need to\Nmultiply the three by itself
Dialogue: 0,0:01:30.35,0:01:35.44,Default,,0000,0000,0000,,twice. Now there are two\Nimportant powers that we need to
Dialogue: 0,0:01:35.44,0:01:38.21,Default,,0000,0000,0000,,draw your attention to the first
Dialogue: 0,0:01:38.21,0:01:44.30,Default,,0000,0000,0000,,one. Is any number to the zero\Npower is by definition is always
Dialogue: 0,0:01:44.30,0:01:46.59,Default,,0000,0000,0000,,one. For example.
Dialogue: 0,0:01:48.44,0:01:55.99,Default,,0000,0000,0000,,7 to the power of 0 is 1\Ntwo to the power of 0 is one
Dialogue: 0,0:01:55.99,0:02:01.66,Default,,0000,0000,0000,,and 10 to the power of 0 is\Nalso one another important
Dialogue: 0,0:02:01.66,0:02:09.21,Default,,0000,0000,0000,,power. Is any number raised\Nto the first power is just the
Dialogue: 0,0:02:09.21,0:02:11.48,Default,,0000,0000,0000,,number itself for example?
Dialogue: 0,0:02:13.03,0:02:19.65,Default,,0000,0000,0000,,7 to the first power equals to\N7, two to the first power equals
Dialogue: 0,0:02:19.65,0:02:25.33,Default,,0000,0000,0000,,to two and 10 to the first power\Nis equal to 10.
Dialogue: 0,0:02:27.16,0:02:29.16,Default,,0000,0000,0000,,By definition, the decimal
Dialogue: 0,0:02:29.16,0:02:35.86,Default,,0000,0000,0000,,number system. Is a\Nbase 10 positional.
Dialogue: 0,0:02:37.97,0:02:39.04,Default,,0000,0000,0000,,Number system.
Dialogue: 0,0:02:41.17,0:02:43.73,Default,,0000,0000,0000,,Which uses 10 digits.
Dialogue: 0,0:02:46.13,0:02:52.85,Default,,0000,0000,0000,,And these 10 digits are 012 all\Nthe way up to 9. So that's the 9
Dialogue: 0,0:02:52.85,0:02:54.95,Default,,0000,0000,0000,,digits plus zero, which makes
Dialogue: 0,0:02:54.95,0:03:01.63,Default,,0000,0000,0000,,them 10. Now what does it mean\Nbased on and positional the base
Dialogue: 0,0:03:01.63,0:03:07.16,Default,,0000,0000,0000,,10 taskview that using 10 digits\Nand every place value or every
Dialogue: 0,0:03:07.16,0:03:11.77,Default,,0000,0000,0000,,position is represented by\Npowers of 10 and it's a
Dialogue: 0,0:03:11.77,0:03:16.38,Default,,0000,0000,0000,,positional number system because\Nif you place digits at different
Dialogue: 0,0:03:16.38,0:03:19.61,Default,,0000,0000,0000,,positions they represent\Ndifferent values. The former
Dialogue: 0,0:03:19.61,0:03:24.68,Default,,0000,0000,0000,,mathematics is representing each\Nof the place values tend to zero
Dialogue: 0,0:03:24.68,0:03:26.52,Default,,0000,0000,0000,,10 to the one.
Dialogue: 0,0:03:27.61,0:03:34.60,Default,,0000,0000,0000,,1:50 2:50 and so\Non now what they mean as
Dialogue: 0,0:03:34.60,0:03:41.67,Default,,0000,0000,0000,,numbers? 10 to 0 as we said\Nbefore, it's 110 to the one
Dialogue: 0,0:03:41.67,0:03:47.11,Default,,0000,0000,0000,,Eastern tented it too, is 100\Nand 2:50 is 1000.
Dialogue: 0,0:03:48.66,0:03:53.44,Default,,0000,0000,0000,,It might seems a little bit\Novercomplicated when you think
Dialogue: 0,0:03:53.44,0:03:59.18,Default,,0000,0000,0000,,about the decimal numbers, but\Nit is already built into the way
Dialogue: 0,0:03:59.18,0:04:04.91,Default,,0000,0000,0000,,that we read our numbers. For\Nexample, if you read out 573
Dialogue: 0,0:04:04.91,0:04:10.65,Default,,0000,0000,0000,,just the way you say the number\Nyou talk about decimal place
Dialogue: 0,0:04:10.65,0:04:16.86,Default,,0000,0000,0000,,values 573, so the hundred 500\Ntells you that five is at the
Dialogue: 0,0:04:16.86,0:04:22.62,Default,,0000,0000,0000,,hundreds place. The 70 tells you\Nthat 70s at the 10s place and
Dialogue: 0,0:04:22.62,0:04:27.50,Default,,0000,0000,0000,,three tells you that three is at\Nthe units place. Now, what
Dialogue: 0,0:04:27.50,0:04:32.38,Default,,0000,0000,0000,,happens if I use the same 3\Ndigits but in a slightly
Dialogue: 0,0:04:32.38,0:04:36.05,Default,,0000,0000,0000,,different order? So what happens\Nif I say 735?
Dialogue: 0,0:04:37.13,0:04:39.04,Default,,0000,0000,0000,,Well, as I was reading out the
Dialogue: 0,0:04:39.04,0:04:44.69,Default,,0000,0000,0000,,number. You probably notice that\Nnow is 7 at the hundreds place,
Dialogue: 0,0:04:44.69,0:04:50.71,Default,,0000,0000,0000,,three is at the 10 space and\Nfive is at the units place. So
Dialogue: 0,0:04:50.71,0:04:55.01,Default,,0000,0000,0000,,depending on which place value\Nand placing or which position
Dialogue: 0,0:04:55.01,0:04:58.88,Default,,0000,0000,0000,,and placing the digits, they\Nwill represent different values.
Dialogue: 0,0:04:58.88,0:05:04.90,Default,,0000,0000,0000,,The five in the first number is\N105 in the second number is just
Dialogue: 0,0:05:04.90,0:05:10.49,Default,,0000,0000,0000,,five units. The three in the\Nfirst number is 3 units, but in
Dialogue: 0,0:05:10.49,0:05:11.78,Default,,0000,0000,0000,,the second number.
Dialogue: 0,0:05:11.94,0:05:16.09,Default,,0000,0000,0000,,E 310 switches 30 and the\Nseven in the first number
Dialogue: 0,0:05:16.09,0:05:20.23,Default,,0000,0000,0000,,is seven 10s, which is 70\Nand in the second number
Dialogue: 0,0:05:20.23,0:05:22.12,Default,,0000,0000,0000,,is 700 which is 700.
Dialogue: 0,0:05:23.54,0:05:28.43,Default,,0000,0000,0000,,Now I would like to draw your\Nattention to the rule of the
Dialogue: 0,0:05:28.43,0:05:33.32,Default,,0000,0000,0000,,zeros because so far I just\Npicked out any digits which is a
Dialogue: 0,0:05:33.32,0:05:38.58,Default,,0000,0000,0000,,non 0 digit. But what happens if\NI have good zeros in my number?
Dialogue: 0,0:05:38.58,0:05:41.21,Default,,0000,0000,0000,,For example? What's the\Ndifference between 1007?
Dialogue: 0,0:05:42.38,0:05:48.66,Default,,0000,0000,0000,,Andseventeen well without having\Nthe zeros in the number I end
Dialogue: 0,0:05:48.66,0:05:54.94,Default,,0000,0000,0000,,up with a very much smaller\Nnumber, so the zeros are
Dialogue: 0,0:05:54.94,0:05:57.23,Default,,0000,0000,0000,,so-called place value holders.
Dialogue: 0,0:05:58.60,0:06:04.24,Default,,0000,0000,0000,,So today telling me that at this\Nplace value I'm not using any of
Dialogue: 0,0:06:04.24,0:06:09.48,Default,,0000,0000,0000,,the place value by placing the\Nzero. So in this case I'm using
Dialogue: 0,0:06:09.48,0:06:15.12,Default,,0000,0000,0000,,seven of the units, not using\Nany of the 10s an I'm not using
Dialogue: 0,0:06:15.12,0:06:19.56,Default,,0000,0000,0000,,any of the hundreds and I'm\Nusing one of the thousands
Dialogue: 0,0:06:19.56,0:06:24.39,Default,,0000,0000,0000,,without the zeros here. I'm just\Ntelling you that I'm using seven
Dialogue: 0,0:06:24.39,0:06:27.62,Default,,0000,0000,0000,,or the ones and I'm using one of
Dialogue: 0,0:06:27.62,0:06:31.63,Default,,0000,0000,0000,,the tents. You will agree with\Nme that the two numbers are
Dialogue: 0,0:06:31.63,0:06:35.71,Default,,0000,0000,0000,,very, very different, so every\Ntime I need to build up a bigger
Dialogue: 0,0:06:35.71,0:06:38.85,Default,,0000,0000,0000,,number without using the in\Nbetween place values, I always
Dialogue: 0,0:06:38.85,0:06:40.74,Default,,0000,0000,0000,,had to place a 0 here.
Dialogue: 0,0:06:45.45,0:06:50.17,Default,,0000,0000,0000,,Now we can build up a decimal\Nplace value table and the former
Dialogue: 0,0:06:50.17,0:06:53.80,Default,,0000,0000,0000,,place value table would look\Nlike this. It's just basically
Dialogue: 0,0:06:53.80,0:06:57.43,Default,,0000,0000,0000,,the heading you have got the\Npowers and the equivalent
Dialogue: 0,0:06:57.43,0:07:01.78,Default,,0000,0000,0000,,decimal values. Now how can you\Nuse a place value table like
Dialogue: 0,0:07:01.78,0:07:05.42,Default,,0000,0000,0000,,this to position different\Nnumbers in that? Now we talked
Dialogue: 0,0:07:05.42,0:07:09.77,Default,,0000,0000,0000,,about a few different numbers,\Nso let's see what they look like
Dialogue: 0,0:07:09.77,0:07:12.31,Default,,0000,0000,0000,,in the place where you table so.
Dialogue: 0,0:07:12.84,0:07:18.95,Default,,0000,0000,0000,,573 you put a five in the\Nhundreds, seven in the Times
Dialogue: 0,0:07:18.95,0:07:25.56,Default,,0000,0000,0000,,Seven in the 10s, and three in\Nthe units column. If we talking
Dialogue: 0,0:07:25.56,0:07:29.13,Default,,0000,0000,0000,,about 735, we mix up the order.
Dialogue: 0,0:07:29.86,0:07:36.33,Default,,0000,0000,0000,,Of the digits 17. One of the\N10s. Seven of the units and 1007
Dialogue: 0,0:07:36.33,0:07:42.33,Default,,0000,0000,0000,,one of the thousand. None of the\Nhundreds. None of the 10s and
Dialogue: 0,0:07:42.33,0:07:44.18,Default,,0000,0000,0000,,seven over the units.
Dialogue: 0,0:07:44.95,0:07:50.49,Default,,0000,0000,0000,,One thing I'd like you to notice\Nis when you look at the place
Dialogue: 0,0:07:50.49,0:07:55.25,Default,,0000,0000,0000,,value table. If you're going\Nfrom right to left, you can spot
Dialogue: 0,0:07:55.25,0:07:59.100,Default,,0000,0000,0000,,that the numbers from place\Nvalue to place while you get 10
Dialogue: 0,0:07:59.100,0:08:03.96,Default,,0000,0000,0000,,times bigger, so the values\Nthemselves, the place where used
Dialogue: 0,0:08:03.96,0:08:05.54,Default,,0000,0000,0000,,gets 10 times bigger.
Dialogue: 0,0:08:06.41,0:08:11.79,Default,,0000,0000,0000,,Now if we reverse the order and\Nwe going from left to right, the
Dialogue: 0,0:08:11.79,0:08:16.01,Default,,0000,0000,0000,,place values themselves get 10\Ntimes smaller, so this is again
Dialogue: 0,0:08:16.01,0:08:19.47,Default,,0000,0000,0000,,another important feature of the\Nplace values themselves, which
Dialogue: 0,0:08:19.47,0:08:24.84,Default,,0000,0000,0000,,will help us to extend the place\Nvalue table in a later video to
Dialogue: 0,0:08:24.84,0:08:25.99,Default,,0000,0000,0000,,introduce smaller numbers.
Dialogue: 0,0:08:27.97,0:08:31.64,Default,,0000,0000,0000,,Now we have got all the\Nconceptual understanding that we
Dialogue: 0,0:08:31.64,0:08:35.68,Default,,0000,0000,0000,,need to build up the binary\Nnumbers. Binary numbers are very
Dialogue: 0,0:08:35.68,0:08:38.61,Default,,0000,0000,0000,,important for computer science\Nbecause binary numbers are
Dialogue: 0,0:08:38.61,0:08:42.28,Default,,0000,0000,0000,,basically the way to communicate\Nto the computer. Remember that
Dialogue: 0,0:08:42.28,0:08:46.32,Default,,0000,0000,0000,,the computer at a very basic\Nlevel will type up small
Dialogue: 0,0:08:46.32,0:08:49.62,Default,,0000,0000,0000,,electrical circuits, and you can\Neither turn on electrical
Dialogue: 0,0:08:49.62,0:08:53.66,Default,,0000,0000,0000,,circuits on or off, and in the\Ndifferent combinations of these
Dialogue: 0,0:08:53.66,0:08:57.33,Default,,0000,0000,0000,,electric circuits you can tell\Nthe computer to do different
Dialogue: 0,0:08:57.33,0:09:01.13,Default,,0000,0000,0000,,instructions. So depending on\Nwhat kind of binary number
Dialogue: 0,0:09:01.13,0:09:04.52,Default,,0000,0000,0000,,instructions you're giving to\Nthe computer, the computer will
Dialogue: 0,0:09:04.52,0:09:07.16,Default,,0000,0000,0000,,carry out different calculations\Nor different instructions.
Dialogue: 0,0:09:07.94,0:09:14.92,Default,,0000,0000,0000,,By definition, the binary\Nnumber system is base
Dialogue: 0,0:09:14.92,0:09:18.40,Default,,0000,0000,0000,,two positional number system.
Dialogue: 0,0:09:19.42,0:09:22.19,Default,,0000,0000,0000,,We using 2 digits.
Dialogue: 0,0:09:23.98,0:09:26.100,Default,,0000,0000,0000,,And these two digits are\Nzero and one.
Dialogue: 0,0:09:28.49,0:09:33.46,Default,,0000,0000,0000,,So what does the place where you\Ntable look for the binary
Dialogue: 0,0:09:33.46,0:09:38.01,Default,,0000,0000,0000,,numbers? But because it's a base\Ntwo number system, every place
Dialogue: 0,0:09:38.01,0:09:42.57,Default,,0000,0000,0000,,value is a power of two. So what\Nare these powers?
Dialogue: 0,0:09:43.22,0:09:49.65,Default,,0000,0000,0000,,2 to the power of 0 two to the\Npower of 1 two to the power of 2
Dialogue: 0,0:09:49.65,0:09:55.36,Default,,0000,0000,0000,,to the power of. 3 two to the\Npower of four. 2 to the power of
Dialogue: 0,0:09:55.36,0:09:59.100,Default,,0000,0000,0000,,5 and I can go on forever. As\Nyou see the differences now.
Dialogue: 0,0:10:00.33,0:10:04.25,Default,,0000,0000,0000,,That instead of base 10, I'm\Njust replacing the Terminator 2,
Dialogue: 0,0:10:04.25,0:10:08.52,Default,,0000,0000,0000,,but the powers themselves stay\Nthe same. Now what does it mean
Dialogue: 0,0:10:08.52,0:10:13.15,Default,,0000,0000,0000,,for the actual values? What is 2\Nto the zero? While remember any
Dialogue: 0,0:10:13.15,0:10:18.13,Default,,0000,0000,0000,,number to the Zero power is 1\Ntwo to the one, any number to
Dialogue: 0,0:10:18.13,0:10:24.18,Default,,0000,0000,0000,,the first power itself, so it's\N2 two to two 2 * 2 is 4, two to
Dialogue: 0,0:10:24.18,0:10:30.23,Default,,0000,0000,0000,,three 2 * 2 * 2 is 8, two to\Nfour is 16 and two to five.
Dialogue: 0,0:10:30.34,0:10:33.79,Default,,0000,0000,0000,,He's 32 and I can go\Non for higher values.
Dialogue: 0,0:10:35.08,0:10:38.95,Default,,0000,0000,0000,,So when we look at the place\Nvalues themselves compared to
Dialogue: 0,0:10:38.95,0:10:43.53,Default,,0000,0000,0000,,the decimals, Now when I go from\Nright to left, the place values
Dialogue: 0,0:10:43.53,0:10:49.16,Default,,0000,0000,0000,,get doubled. So from one we can\Nget to 2 from 2 began get to 4
Dialogue: 0,0:10:49.16,0:10:54.79,Default,,0000,0000,0000,,from 4 we can get to 8, they\Ndouble up and if I go from left
Dialogue: 0,0:10:54.79,0:10:59.37,Default,,0000,0000,0000,,to right the opposite direction\Nthey get halved from 32 to 16 I
Dialogue: 0,0:10:59.37,0:11:05.00,Default,,0000,0000,0000,,get by having it and from 16 to\N8 I get by having it again so.
Dialogue: 0,0:11:05.06,0:11:09.42,Default,,0000,0000,0000,,This is a common feature of the\Nplace where you tables any
Dialogue: 0,0:11:09.42,0:11:12.68,Default,,0000,0000,0000,,number system because there are\Nother different number systems.
Dialogue: 0,0:11:12.68,0:11:17.04,Default,,0000,0000,0000,,Every time when you go from\Nright to left, the place values
Dialogue: 0,0:11:17.04,0:11:18.85,Default,,0000,0000,0000,,get multiplied by the base.
Dialogue: 0,0:11:20.69,0:11:24.22,Default,,0000,0000,0000,,And when you go from left to\Nright, the place values get
Dialogue: 0,0:11:24.22,0:11:25.39,Default,,0000,0000,0000,,divided by the base.
Dialogue: 0,0:11:28.15,0:11:32.26,Default,,0000,0000,0000,,So when we look at the binary\Nplace value table, it's like the
Dialogue: 0,0:11:32.26,0:11:35.73,Default,,0000,0000,0000,,numbers I showed you before, but\Nput into a nicer format.
Dialogue: 0,0:11:36.98,0:11:40.74,Default,,0000,0000,0000,,So what happens in the here in\Nthe decimal place value table?
Dialogue: 0,0:11:40.74,0:11:44.80,Default,,0000,0000,0000,,We had quite a lot of different\Ndigits that we could play around
Dialogue: 0,0:11:44.80,0:11:48.87,Default,,0000,0000,0000,,with. We had the digits from\Nzero to 9, but what happens in
Dialogue: 0,0:11:48.87,0:11:52.94,Default,,0000,0000,0000,,binary? Which 2 digits can we\Nuse here? Just the zero and one.
Dialogue: 0,0:11:53.58,0:11:58.02,Default,,0000,0000,0000,,So. A binary number is\Nnothing else but a string
Dialogue: 0,0:11:58.02,0:11:59.41,Default,,0000,0000,0000,,of ones and zeros.
Dialogue: 0,0:12:01.06,0:12:05.66,Default,,0000,0000,0000,,For example, this is a binary\Nnumber. What it means then for
Dialogue: 0,0:12:05.66,0:12:10.25,Default,,0000,0000,0000,,the place values is that with\None I'm saying that use the
Dialogue: 0,0:12:10.25,0:12:14.08,Default,,0000,0000,0000,,corresponding place value and\Nwith zero I'm saying don't use
Dialogue: 0,0:12:14.08,0:12:17.53,Default,,0000,0000,0000,,the corresponding place value,\Nso the placeholder property of
Dialogue: 0,0:12:17.53,0:12:21.36,Default,,0000,0000,0000,,the zero becomes really\Nimportant and comes up a lot
Dialogue: 0,0:12:21.36,0:12:23.66,Default,,0000,0000,0000,,more often than in decimal\Nnumbers.
Dialogue: 0,0:12:25.23,0:12:31.57,Default,,0000,0000,0000,,Let's look at a few more binary\Nnumbers. So basically I can just
Dialogue: 0,0:12:31.57,0:12:37.92,Default,,0000,0000,0000,,use any ones and any zeros and\Nplace them in any order whatever
Dialogue: 0,0:12:37.92,0:12:43.77,Default,,0000,0000,0000,,to build upon binary number. So\Nlet's say 1011001 it's a binary
Dialogue: 0,0:12:43.77,0:12:49.14,Default,,0000,0000,0000,,number, 100001 is also binary\Nnumber, or 1011. Again a binary
Dialogue: 0,0:12:49.14,0:12:54.51,Default,,0000,0000,0000,,number. Now you probably notice\Nthat because we only using ones
Dialogue: 0,0:12:54.51,0:12:59.61,Default,,0000,0000,0000,,and zeros. Every single one of\Nthem could also be a decimal
Dialogue: 0,0:12:59.61,0:13:04.46,Default,,0000,0000,0000,,number. For example, the last\None could be 1011 in decimal. So
Dialogue: 0,0:13:04.46,0:13:08.50,Default,,0000,0000,0000,,how can we make a distinction\Nbetween binary and decimal?
Dialogue: 0,0:13:10.47,0:13:14.17,Default,,0000,0000,0000,,So there is a very common\Nnotation to distinguish between
Dialogue: 0,0:13:14.17,0:13:18.61,Default,,0000,0000,0000,,binary and decimal numbers. So\Nif you see a number which only
Dialogue: 0,0:13:18.61,0:13:23.42,Default,,0000,0000,0000,,uses ones and zeros to make sure\Nthat this is a binary number,
Dialogue: 0,0:13:23.42,0:13:27.86,Default,,0000,0000,0000,,you put a little two in\Nsubscript. And if you want to
Dialogue: 0,0:13:27.86,0:13:31.93,Default,,0000,0000,0000,,indicate that this is a decimal\Nnumber, you put a little
Dialogue: 0,0:13:31.93,0:13:35.63,Default,,0000,0000,0000,,subscript of 10, indicating that\Nthis is a decimal number.
Dialogue: 0,0:13:36.48,0:13:41.68,Default,,0000,0000,0000,,So if it's not clear enough from\Ncontext, always look for the
Dialogue: 0,0:13:41.68,0:13:46.44,Default,,0000,0000,0000,,subscript. It is a binary\Nnumber. Or is it a decimal
Dialogue: 0,0:13:46.44,0:13:50.77,Default,,0000,0000,0000,,number? Now it's very, very\Nimportant that you are making
Dialogue: 0,0:13:50.77,0:13:54.67,Default,,0000,0000,0000,,difference between the number\Nitself and the notation of
Dialogue: 0,0:13:54.67,0:13:58.56,Default,,0000,0000,0000,,signaling which system working\Nin this letter notation, the
Dialogue: 0,0:13:58.56,0:14:04.62,Default,,0000,0000,0000,,number 2 and here the number 10\Nare not part of the number. As
Dialogue: 0,0:14:04.62,0:14:06.79,Default,,0000,0000,0000,,long as the calculations go.
Dialogue: 0,0:14:07.12,0:14:11.56,Default,,0000,0000,0000,,This is just a way of telling\Nme or you or anybody ask that
Dialogue: 0,0:14:11.56,0:14:15.68,Default,,0000,0000,0000,,this is a binary number. Once\Nwe are aware of that, this is
Dialogue: 0,0:14:15.68,0:14:18.85,Default,,0000,0000,0000,,a binary number. This two\Nbecomes redundant, so as long
Dialogue: 0,0:14:18.85,0:14:21.70,Default,,0000,0000,0000,,as the calculations go, you\Ncan leave this number.
Dialogue: 0,0:14:22.84,0:14:26.21,Default,,0000,0000,0000,,So I hope that you have a\Nbetter understanding of the
Dialogue: 0,0:14:26.21,0:14:29.27,Default,,0000,0000,0000,,binary and the decimal number\Nsystems in the next few
Dialogue: 0,0:14:29.27,0:14:32.94,Default,,0000,0000,0000,,videos. I will show you what\Nwe can do with the binary
Dialogue: 0,0:14:32.94,0:14:33.24,Default,,0000,0000,0000,,numbers.