[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:16.54,0:00:20.82,Default,,0000,0000,0000,,Welcome to the 50 there in the\Nbinary number series. In this
Dialogue: 0,0:00:20.82,0:00:25.46,Default,,0000,0000,0000,,video I'm going to show you how\Nwe can deal with fractions in
Dialogue: 0,0:00:25.46,0:00:30.11,Default,,0000,0000,0000,,the binary system to be able to\Ndo that, first we're going to
Dialogue: 0,0:00:30.11,0:00:34.03,Default,,0000,0000,0000,,talk a little bit more about the\Npower definitions, and then
Dialogue: 0,0:00:34.03,0:00:37.96,Default,,0000,0000,0000,,we're going to extend the binary\Nplace value system. After that,
Dialogue: 0,0:00:37.96,0:00:42.60,Default,,0000,0000,0000,,I'm going to show you a couple\Nof examples how you can convert
Dialogue: 0,0:00:42.60,0:00:45.81,Default,,0000,0000,0000,,binary fractions into decimal\Nfractions. So let's extend or
Dialogue: 0,0:00:45.81,0:00:47.60,Default,,0000,0000,0000,,recap our knowledge about the
Dialogue: 0,0:00:47.60,0:00:53.29,Default,,0000,0000,0000,,powers. So we all remember that\Nany number to the zero power, by
Dialogue: 0,0:00:53.29,0:00:58.16,Default,,0000,0000,0000,,definition, is always one, and\Nif we talk about the negative
Dialogue: 0,0:00:58.16,0:01:03.03,Default,,0000,0000,0000,,powers, that is the same as one\Nover the positive equivalent
Dialogue: 0,0:01:03.03,0:01:08.79,Default,,0000,0000,0000,,over the same power. So what\Ndoes it mean for us? Let's have
Dialogue: 0,0:01:08.79,0:01:14.99,Default,,0000,0000,0000,,a look at some examples. So if\Nwe talk about 3:00 to the minus
Dialogue: 0,0:01:14.99,0:01:17.65,Default,,0000,0000,0000,,four, that is just simply one
Dialogue: 0,0:01:17.65,0:01:24.57,Default,,0000,0000,0000,,over. Three to four, and if we\Ntalk about two to the minus
Dialogue: 0,0:01:24.57,0:01:31.00,Default,,0000,0000,0000,,three, that is just simply 1 /\N2 to three last example.
Dialogue: 0,0:01:32.03,0:01:37.76,Default,,0000,0000,0000,,Done to the minus two, that's\Nthe same as 1 / 10 to the power
Dialogue: 0,0:01:37.76,0:01:43.74,Default,,0000,0000,0000,,of 2. Now Lisa, you need to\Nknow the negative powers, but
Dialogue: 0,0:01:43.74,0:01:48.42,Default,,0000,0000,0000,,remember when we were talking\Nabout the decimal place value
Dialogue: 0,0:01:48.42,0:01:53.10,Default,,0000,0000,0000,,system, we talked about the\Nsmallest place where you being
Dialogue: 0,0:01:53.10,0:01:56.38,Default,,0000,0000,0000,,tend to zero and then then to
Dialogue: 0,0:01:56.38,0:02:02.28,Default,,0000,0000,0000,,the one. Dented it too tentative\N310 to the four etc. Now when
Dialogue: 0,0:02:02.28,0:02:07.77,Default,,0000,0000,0000,,you look at the powers the\Npowers grow by one as we go from
Dialogue: 0,0:02:07.77,0:02:12.87,Default,,0000,0000,0000,,right to left. But what happens\Nwhen we go from left to right?
Dialogue: 0,0:02:12.87,0:02:17.18,Default,,0000,0000,0000,,The powers decreased by one and\Nthen if you introduce the
Dialogue: 0,0:02:17.18,0:02:21.49,Default,,0000,0000,0000,,decimal point you can further\Nextend this place value table so
Dialogue: 0,0:02:21.49,0:02:26.59,Default,,0000,0000,0000,,we can talk about 10 to the\Nminus one because zero last one
Dialogue: 0,0:02:26.59,0:02:28.15,Default,,0000,0000,0000,,is minus one then.
Dialogue: 0,0:02:28.49,0:02:34.21,Default,,0000,0000,0000,,Into the minus 210 to the\Nminus three etc now.
Dialogue: 0,0:02:34.89,0:02:41.22,Default,,0000,0000,0000,,If we look at it with the number\Nequivalents, this would be one.
Dialogue: 0,0:02:41.22,0:02:43.17,Default,,0000,0000,0000,,This would be 1000.
Dialogue: 0,0:02:43.85,0:02:50.71,Default,,0000,0000,0000,,1000 and 10,000. This way this\Nwould be 1 / 10 this would be
Dialogue: 0,0:02:50.71,0:02:58.55,Default,,0000,0000,0000,,1 / 100 because 10 to the power\Nof three is 100 and it will be
Dialogue: 0,0:02:58.55,0:03:00.51,Default,,0000,0000,0000,,1 / 1000 now.
Dialogue: 0,0:03:01.04,0:03:08.14,Default,,0000,0000,0000,,It might be a bit more familiar\Nif we look at this way. 1 / 10
Dialogue: 0,0:03:08.14,0:03:14.80,Default,,0000,0000,0000,,is 0.11, / 100 is 0.01 and 1 /\N1000 is 0.001, so you might
Dialogue: 0,0:03:14.80,0:03:20.13,Default,,0000,0000,0000,,depending on how you would talk\Nabout it, you either and this
Dialogue: 0,0:03:20.13,0:03:25.90,Default,,0000,0000,0000,,format or this format now. Why\Nis it good for us? But basically
Dialogue: 0,0:03:25.90,0:03:31.23,Default,,0000,0000,0000,,when we start to talk about\Ndecimal numbers and we can talk
Dialogue: 0,0:03:31.23,0:03:36.79,Default,,0000,0000,0000,,about 3.4. Two, but that's\Nbasically means that I have.
Dialogue: 0,0:03:40.61,0:03:47.91,Default,,0000,0000,0000,,Three times. 10 to the\N0 + 4 * 10 to the
Dialogue: 0,0:03:47.91,0:03:50.42,Default,,0000,0000,0000,,minus 1 + 2 times.
Dialogue: 0,0:03:51.06,0:03:56.34,Default,,0000,0000,0000,,10 To the minus two, so\Nthe place values are
Dialogue: 0,0:03:56.34,0:03:58.21,Default,,0000,0000,0000,,built into the system.
Dialogue: 0,0:03:59.87,0:04:04.16,Default,,0000,0000,0000,,Let's look at how it differs\Nwhen we talk about binary
Dialogue: 0,0:04:04.16,0:04:08.84,Default,,0000,0000,0000,,numbers. So the binary place\Nvalue system we started with two
Dialogue: 0,0:04:08.84,0:04:14.46,Default,,0000,0000,0000,,to the power of 0, two to the\Npower of 1 two three power of 2
Dialogue: 0,0:04:14.46,0:04:19.02,Default,,0000,0000,0000,,to the power of three, and so\Non. Now we can also introduce
Dialogue: 0,0:04:19.02,0:04:23.23,Default,,0000,0000,0000,,something new called a Radix\Npoint and then we can extend our
Dialogue: 0,0:04:23.23,0:04:27.09,Default,,0000,0000,0000,,knowledge of place values to the\Nbinary system because again, if
Dialogue: 0,0:04:27.09,0:04:32.01,Default,,0000,0000,0000,,you look at the powers grow from\Nright to left and then buy one
Dialogue: 0,0:04:32.01,0:04:35.52,Default,,0000,0000,0000,,and then they decrease by one\Nfrom left to right.
Dialogue: 0,0:04:35.52,0:04:39.26,Default,,0000,0000,0000,,So we can extend this to two to\Nthe minus one.
Dialogue: 0,0:04:39.88,0:04:45.42,Default,,0000,0000,0000,,Due to the minus 2, two to the\Nminus three, and so on depending
Dialogue: 0,0:04:45.42,0:04:50.18,Default,,0000,0000,0000,,on how many digits you want. So\Nwhat are these numbers here?
Dialogue: 0,0:04:51.82,0:04:52.85,Default,,0000,0000,0000,,This is 1.
Dialogue: 0,0:04:53.36,0:04:58.18,Default,,0000,0000,0000,,This is to this is for this is\Nit this one? You are quite
Dialogue: 0,0:04:58.18,0:05:02.30,Default,,0000,0000,0000,,familiar with by now. Now the\Nradix point comes here. What is
Dialogue: 0,0:05:02.30,0:05:08.15,Default,,0000,0000,0000,,2 to the minus one? Well that's\N1 / 2 one is 2 to the minus two
Dialogue: 0,0:05:08.15,0:05:13.31,Default,,0000,0000,0000,,that's 1 / 4 what is 2 to the\Nminus three? That's 1 / 8
Dialogue: 0,0:05:13.31,0:05:18.82,Default,,0000,0000,0000,,remember two to two is 4 and two\Nto three is 8. Now again what we
Dialogue: 0,0:05:18.82,0:05:22.94,Default,,0000,0000,0000,,learned about the binary place\Nvalue system is that if I'm go
Dialogue: 0,0:05:22.94,0:05:26.60,Default,,0000,0000,0000,,from. Right to left. The place.\NWhy use double?
Dialogue: 0,0:05:27.25,0:05:33.25,Default,,0000,0000,0000,,So you can see you know double\Nat 1 S, 2 W, 3 S, 4 W 4 is 8,
Dialogue: 0,0:05:33.25,0:05:37.36,Default,,0000,0000,0000,,etc. Now if we go from left to\Nright, the place values gets
Dialogue: 0,0:05:37.36,0:05:42.10,Default,,0000,0000,0000,,halved, so half of eight is 4.\NHalf of four is 2, half of two
Dialogue: 0,0:05:42.10,0:05:46.53,Default,,0000,0000,0000,,is 1. Now that's the true on the\Nright hand side from the radix
Dialogue: 0,0:05:46.53,0:05:51.27,Default,,0000,0000,0000,,point because half of 1 is half\Nhalf of half is 1/4 and half of
Dialogue: 0,0:05:51.27,0:05:55.37,Default,,0000,0000,0000,,quarter is an 8. If you can't\Nreally remember this or you have
Dialogue: 0,0:05:55.37,0:05:58.53,Default,,0000,0000,0000,,forgotten about it, try to draw\Nthem as functions as.
Dialogue: 0,0:05:58.59,0:06:02.85,Default,,0000,0000,0000,,Slices of pizza to convince\Nyourself that this is how it
Dialogue: 0,0:06:02.85,0:06:07.88,Default,,0000,0000,0000,,works, and again, the double\Noven 8 is 1/4 and a double of
Dialogue: 0,0:06:07.88,0:06:12.14,Default,,0000,0000,0000,,1/4 is 1/2. Because remember two\Nquarters Constanta your half and
Dialogue: 0,0:06:12.14,0:06:14.46,Default,,0000,0000,0000,,two 8 sconces down to 1/4.
Dialogue: 0,0:06:15.18,0:06:21.17,Default,,0000,0000,0000,,Now again. In\Nsome cases you will need the
Dialogue: 0,0:06:21.17,0:06:25.38,Default,,0000,0000,0000,,fraction numbers, but it's\Nalways a good thing to know what
Dialogue: 0,0:06:25.38,0:06:29.98,Default,,0000,0000,0000,,they look like as decimals. So\Nhalf would always be a .5
Dialogue: 0,0:06:29.98,0:06:34.58,Default,,0000,0000,0000,,quarter would be 0.25 and eight\Nwould be 0.125. Again, if you
Dialogue: 0,0:06:34.58,0:06:39.94,Default,,0000,0000,0000,,half in .5 you get .25 and if\Nyou half in .25 you got.
Dialogue: 0,0:06:40.44,0:06:45.29,Default,,0000,0000,0000,,.125 If you're not sure, double\Ncheck it with the Calculator.
Dialogue: 0,0:06:46.65,0:06:52.100,Default,,0000,0000,0000,,So why is it good for us?\NLet's look at binary fraction,
Dialogue: 0,0:06:52.100,0:07:00.40,Default,,0000,0000,0000,,so let's say I've got 11 radix\N.1 in binary. Now let's see what
Dialogue: 0,0:07:00.40,0:07:03.58,Default,,0000,0000,0000,,kind of decimal number is here
Dialogue: 0,0:07:03.58,0:07:09.91,Default,,0000,0000,0000,,so. Anything that's on the left\Nhand side from the Radix point
Dialogue: 0,0:07:09.91,0:07:14.45,Default,,0000,0000,0000,,works like just ordinary binary\Nnumbers, so the place values
Dialogue: 0,0:07:14.45,0:07:19.87,Default,,0000,0000,0000,,here. One and two, and on the\Nright hand side from the radix
Dialogue: 0,0:07:19.87,0:07:24.82,Default,,0000,0000,0000,,point is the new system that we\Njust introduced. So this place
Dialogue: 0,0:07:24.82,0:07:28.95,Default,,0000,0000,0000,,value is equivalent to 1/2. So\Nwhat I've got here.
Dialogue: 0,0:07:30.04,0:07:36.46,Default,,0000,0000,0000,,Is I bought 1 * 2\N+ 1 * 1.
Dialogue: 0,0:07:36.97,0:07:44.65,Default,,0000,0000,0000,,Plus 1 * 1/2 This is 2 +\N1, three and a half, which I can
Dialogue: 0,0:07:44.65,0:07:50.41,Default,,0000,0000,0000,,also write S 3.5, so that's the\Ndecimal equivalent of 1, one
Dialogue: 0,0:07:50.41,0:07:55.21,Default,,0000,0000,0000,,radix .1 and listen when you're\Nreading out the binary
Dialogue: 0,0:07:55.21,0:08:00.01,Default,,0000,0000,0000,,equivalent, you don't save, just\Nsimply point you, say radix
Dialogue: 0,0:08:00.01,0:08:04.33,Default,,0000,0000,0000,,point to make the difference\Ndistinction between binary and
Dialogue: 0,0:08:04.33,0:08:10.77,Default,,0000,0000,0000,,decimal fractions. Let's look at\Na different example and see how
Dialogue: 0,0:08:10.77,0:08:16.17,Default,,0000,0000,0000,,we can convert that binary\Nfraction into its decimal
Dialogue: 0,0:08:16.17,0:08:22.77,Default,,0000,0000,0000,,equivalent. So our number this\Ncase will be one radix, .101.
Dialogue: 0,0:08:22.77,0:08:29.37,Default,,0000,0000,0000,,I can again build up the\Nbinary place value table, so
Dialogue: 0,0:08:29.37,0:08:35.37,Default,,0000,0000,0000,,here's the radix point. I will\Nhave two to zero.
Dialogue: 0,0:08:35.39,0:08:40.63,Default,,0000,0000,0000,,2 to the one, two to two, and so\Non. On the left hand side and I
Dialogue: 0,0:08:40.63,0:08:45.25,Default,,0000,0000,0000,,would have two to the minus 1,\Ntwo to the minus, 2 two to the
Dialogue: 0,0:08:45.25,0:08:47.09,Default,,0000,0000,0000,,minus, three on the right hand
Dialogue: 0,0:08:47.09,0:08:50.19,Default,,0000,0000,0000,,side. The equivalent.
Dialogue: 0,0:08:51.22,0:08:58.83,Default,,0000,0000,0000,,1. 24 keep the\Npoint half a quarter.
Dialogue: 0,0:08:59.41,0:09:03.07,Default,,0000,0000,0000,,And an 8 now when it comes
Dialogue: 0,0:09:03.07,0:09:06.78,Default,,0000,0000,0000,,to our. Binary number.
Dialogue: 0,0:09:08.20,0:09:12.59,Default,,0000,0000,0000,,It's very important that you\Nplace them correctly so the
Dialogue: 0,0:09:12.59,0:09:18.30,Default,,0000,0000,0000,,points have to line up so the\Ndigits I'm using is 1 radix
Dialogue: 0,0:09:18.30,0:09:23.56,Default,,0000,0000,0000,,.101. What it means to me? I'm\Nusing one of the ones.
Dialogue: 0,0:09:24.95,0:09:28.78,Default,,0000,0000,0000,,I'm using one of the halves.
Dialogue: 0,0:09:28.93,0:09:32.55,Default,,0000,0000,0000,,And I'm using Zita over\Nthe quarters and I'm
Dialogue: 0,0:09:32.55,0:09:34.56,Default,,0000,0000,0000,,using one of the AIDS.
Dialogue: 0,0:09:35.88,0:09:41.47,Default,,0000,0000,0000,,Again, 0 times anything. Just\Ngoing to give me zero and what
Dialogue: 0,0:09:41.47,0:09:47.100,Default,,0000,0000,0000,,I've got here is 1 + 1/2 plus\Nand eight, so how my adding
Dialogue: 0,0:09:47.100,0:09:51.72,Default,,0000,0000,0000,,together half aninat? Well,\Nwhenever I'm adding fractions
Dialogue: 0,0:09:51.72,0:09:56.85,Default,,0000,0000,0000,,together I always need to make\Nthem the common denominator. So
Dialogue: 0,0:09:56.85,0:10:02.91,Default,,0000,0000,0000,,what's the common denominator of\Ntwo and eight wow 8 so I know
Dialogue: 0,0:10:02.91,0:10:06.17,Default,,0000,0000,0000,,that half is 48 and the 18.
Dialogue: 0,0:10:06.22,0:10:09.76,Default,,0000,0000,0000,,Is just 118, so I've got one.
Dialogue: 0,0:10:10.38,0:10:15.81,Default,,0000,0000,0000,,Plus four 8 + 1 eight\Naltogether makes 5 eight, so
Dialogue: 0,0:10:15.81,0:10:21.74,Default,,0000,0000,0000,,one radix .101 in binary is\Nequivalent to one and 5 eights
Dialogue: 0,0:10:21.74,0:10:27.67,Default,,0000,0000,0000,,in decimal. Now if you want to\Nconvert the five 8 into
Dialogue: 0,0:10:27.67,0:10:28.16,Default,,0000,0000,0000,,decimal.
Dialogue: 0,0:10:29.53,0:10:32.36,Default,,0000,0000,0000,,And look just keep it as a\Nfraction what you need to do.
Dialogue: 0,0:10:32.36,0:10:33.67,Default,,0000,0000,0000,,You need to do the division.
Dialogue: 0,0:10:34.20,0:10:41.14,Default,,0000,0000,0000,,So 5 / 8 is the same as 5\N/ 8, so let's do the traditional
Dialogue: 0,0:10:41.14,0:10:46.35,Default,,0000,0000,0000,,division eight into five dozen\Nguy bring into O and appoint an
Dialogue: 0,0:10:46.35,0:10:53.57,Default,,0000,0000,0000,,borrow 0. 8 into 50 Go\N6 * 6 * 8 is 48,
Dialogue: 0,0:10:53.57,0:11:00.98,Default,,0000,0000,0000,,so we got a two remainder borrow\N0, again 18 to 20 goes twice
Dialogue: 0,0:11:00.98,0:11:06.79,Default,,0000,0000,0000,,2 * 8016, Four remainder,\Nbringing another zero an 18 to
Dialogue: 0,0:11:06.79,0:11:13.67,Default,,0000,0000,0000,,40 goes five times. That means\Nthat 5 / 8 is equal to
Dialogue: 0,0:11:13.67,0:11:18.43,Default,,0000,0000,0000,,0.625, so that means that one\Nand 5 eights.
Dialogue: 0,0:11:18.47,0:11:24.23,Default,,0000,0000,0000,,Is also the same as 1.625?\NReally depends on if you
Dialogue: 0,0:11:24.23,0:11:28.43,Default,,0000,0000,0000,,happy having the equivalent\Ninstructions or you want
Dialogue: 0,0:11:28.43,0:11:30.52,Default,,0000,0000,0000,,them as decimal fractions.
Dialogue: 0,0:11:31.59,0:11:38.07,Default,,0000,0000,0000,,Let's look at another\Nexample. So if I
Dialogue: 0,0:11:38.07,0:11:41.31,Default,,0000,0000,0000,,have got 111 radix
Dialogue: 0,0:11:41.31,0:11:47.92,Default,,0000,0000,0000,,.1001. The binary place\Nvalues again start with the
Dialogue: 0,0:11:47.92,0:11:50.46,Default,,0000,0000,0000,,point. I have one.
Dialogue: 0,0:11:51.04,0:11:55.46,Default,,0000,0000,0000,,2 four and I won't need any\Nhigher place values because I've
Dialogue: 0,0:11:55.46,0:11:58.03,Default,,0000,0000,0000,,only got 3 digits and then I
Dialogue: 0,0:11:58.03,0:12:01.52,Default,,0000,0000,0000,,have 1/2. 1/4 on
Dialogue: 0,0:12:01.52,0:12:08.49,Default,,0000,0000,0000,,8. And the 16. And\Nagain because I only have got 4
Dialogue: 0,0:12:08.49,0:12:14.92,Default,,0000,0000,0000,,digits in here, I only need four\Nplace values in here. Now let's
Dialogue: 0,0:12:14.92,0:12:19.86,Default,,0000,0000,0000,,put the corresponding digits\Nunder the place values. So 111
Dialogue: 0,0:12:19.86,0:12:27.27,Default,,0000,0000,0000,,radix .1001. So what it means to\Nus is that we have 1 * 4
Dialogue: 0,0:12:27.27,0:12:33.19,Default,,0000,0000,0000,,+ 1 * 2 + 1 * 1\N+ 1 * 1/2.
Dialogue: 0,0:12:33.23,0:12:39.86,Default,,0000,0000,0000,,Plus 0 * 1/4\N+ 0 times on
Dialogue: 0,0:12:39.86,0:12:43.18,Default,,0000,0000,0000,,8 + 1 *
Dialogue: 0,0:12:43.18,0:12:49.31,Default,,0000,0000,0000,,16 Again. Or the place\Nvalues which carry zeros will
Dialogue: 0,0:12:49.31,0:12:56.42,Default,,0000,0000,0000,,not be taken into account. So we\Nhave got 4 + 2 + 1 +
Dialogue: 0,0:12:56.42,0:13:04.01,Default,,0000,0000,0000,,1/2 + 16. Now the whole part of\Nthe number B 4 + 2 + 1
Dialogue: 0,0:13:04.01,0:13:06.85,Default,,0000,0000,0000,,seventh and the fraction part of
Dialogue: 0,0:13:06.85,0:13:13.62,Default,,0000,0000,0000,,the number. Is half and a\N16 again to add them together? I
Dialogue: 0,0:13:13.62,0:13:18.63,Default,,0000,0000,0000,,need to make them into fractions\Nwith common denominator 16 will
Dialogue: 0,0:13:18.63,0:13:24.56,Default,,0000,0000,0000,,be a common denominator, so 1 /\N16 plus half breaking up into
Dialogue: 0,0:13:24.56,0:13:30.49,Default,,0000,0000,0000,,sixteens is just 8 / 16. You\Nmight remember that a half can
Dialogue: 0,0:13:30.49,0:13:35.50,Default,,0000,0000,0000,,always be represented with the\Nnumbers where the ratio top to
Dialogue: 0,0:13:35.50,0:13:38.70,Default,,0000,0000,0000,,bottom is one to two. So anytime
Dialogue: 0,0:13:38.70,0:13:43.35,Default,,0000,0000,0000,,when. Bottom part of the\Nfraction is double of the top
Dialogue: 0,0:13:43.35,0:13:48.73,Default,,0000,0000,0000,,part of the fractions. That's\Nalways 1/2, so one 816 + 1 six
Dialogue: 0,0:13:48.73,0:13:54.94,Default,,0000,0000,0000,,teens make 916's, so it's 7 and\N9 / 16. Now I'm going to spare
Dialogue: 0,0:13:54.94,0:14:00.74,Default,,0000,0000,0000,,you the long division this case\Nand I'm just going to pick up a
Dialogue: 0,0:14:00.74,0:14:04.88,Default,,0000,0000,0000,,Calculator and calculate what\Nthis is equivalent to do. So
Dialogue: 0,0:14:04.88,0:14:06.95,Default,,0000,0000,0000,,this will be 7 point.
Dialogue: 0,0:14:07.61,0:14:12.41,Default,,0000,0000,0000,,5625 Remember when you want to\Ncalculate the equivalent of it
Dialogue: 0,0:14:12.41,0:14:17.64,Default,,0000,0000,0000,,as a decimal fraction, you just\Nneed to divide 9 by 16.
Dialogue: 0,0:14:18.18,0:14:24.98,Default,,0000,0000,0000,,So 1 one\N1.1001 in binary
Dialogue: 0,0:14:24.98,0:14:31.79,Default,,0000,0000,0000,,is equivalent to\N7.5625 in decimal.
Dialogue: 0,0:14:32.91,0:14:37.36,Default,,0000,0000,0000,,I hope you now have an idea of\Nhow to convert binary
Dialogue: 0,0:14:37.36,0:14:40.70,Default,,0000,0000,0000,,fractions to decimal fractions\Nand had the extended place
Dialogue: 0,0:14:40.70,0:14:44.41,Default,,0000,0000,0000,,value system works in the\Nfollowing pages you will have
Dialogue: 0,0:14:44.41,0:14:47.38,Default,,0000,0000,0000,,some practice questions and\Nthe answers will follow.
Dialogue: 0,0:14:49.80,0:14:52.01,Default,,0000,0000,0000,,So these are the practice\Nquestions.
Dialogue: 0,0:14:57.70,0:14:59.40,Default,,0000,0000,0000,,And here are the answers.