1 00:00:02,550 --> 00:00:04,590 Welcome back to the course on C++. 2 00:00:04,950 --> 00:00:07,590 So today we will learn about no system. 3 00:00:09,670 --> 00:00:11,500 No system. 4 00:00:16,150 --> 00:00:21,240 So if you remember, we have already discussed in brief about numbers this system in our first lesson, 5 00:00:21,730 --> 00:00:23,830 but don't worry, we will start from scratch. 6 00:00:28,510 --> 00:00:33,890 OK, so I told you, no system can be categorized into two types weighted. 7 00:00:37,140 --> 00:00:38,190 And unweighted. 8 00:00:46,090 --> 00:00:48,910 Okay, so let us first talk about Richard and my system. 9 00:00:49,570 --> 00:00:52,150 So in Virginia, my system each digit. 10 00:00:54,730 --> 00:00:55,900 Has been assigned. 11 00:01:00,050 --> 00:01:00,770 Some veidt. 12 00:01:03,770 --> 00:01:04,580 On bases. 13 00:01:06,900 --> 00:01:08,020 Off deposition. 14 00:01:12,910 --> 00:01:18,490 Since we're tied, assigned on bases of position, so we can also say that it is a body tional. 15 00:01:20,990 --> 00:01:21,570 We waited. 16 00:01:23,260 --> 00:01:24,150 No system. 17 00:01:26,600 --> 00:01:33,830 Because Viertel assigned on bases of position decimal system is an example of victim number system. 18 00:01:35,240 --> 00:01:39,120 OK, so 235, let us take an example to 35. 19 00:01:39,770 --> 00:01:47,840 So here digital has a vote of 10 to the power to digitally has a vote of ten to the Pavon and digit 20 00:01:47,840 --> 00:01:49,940 five has a very tough 10 to the power. 21 00:01:50,150 --> 00:01:50,480 Zero. 22 00:01:51,690 --> 00:01:58,140 So each digit has been assigned some weights on basis of their position. 23 00:01:58,920 --> 00:02:02,370 And since the votes are assigned on basis of position. 24 00:02:02,760 --> 00:02:06,690 So it is also calls for additional weighted numbers system. 25 00:02:08,280 --> 00:02:10,800 OK, so let's talk about and Virginia, my system. 26 00:02:11,800 --> 00:02:14,610 Swain and rigid animal system, all digits. 27 00:02:16,070 --> 00:02:17,090 Have seen vid. 28 00:02:19,070 --> 00:02:20,750 Have seen vid. 29 00:02:22,670 --> 00:02:27,020 In my system is an example of unretired, no system. 30 00:02:27,920 --> 00:02:33,800 For example, one, one, one, and telling them the system did business team. 31 00:02:35,840 --> 00:02:37,880 All digits have same weight. 32 00:02:38,000 --> 00:02:38,810 That is when. 33 00:02:40,070 --> 00:02:44,370 So and we're in a mess system means all the dudes will have theme it. 34 00:02:44,960 --> 00:02:46,770 There is no system is an example of one. 35 00:02:46,770 --> 00:02:51,350 We didn't have a system because all the dudes are having same that this one. 36 00:02:52,510 --> 00:02:56,340 Our Topham visited and unweighted in my system, vigilant. 37 00:02:56,520 --> 00:02:58,480 My system is more important. 38 00:03:00,650 --> 00:03:03,330 And in my system is not important. 39 00:03:05,690 --> 00:03:11,330 And we will never use and we did them my system, because on Viginia, my system is very inefficient 40 00:03:11,330 --> 00:03:12,260 and time consuming. 41 00:03:12,680 --> 00:03:12,940 OK. 42 00:03:13,310 --> 00:03:19,310 For example, if you want to write 235 in unweighted, no more system, that is an Bailamos system. 43 00:03:19,610 --> 00:03:22,910 So how will you write 235 entire Lembo system? 44 00:03:23,840 --> 00:03:24,770 You will write when. 45 00:03:24,770 --> 00:03:25,070 When. 46 00:03:25,070 --> 00:03:25,370 When. 47 00:03:25,370 --> 00:03:25,670 When. 48 00:03:25,670 --> 00:03:25,940 When. 49 00:03:25,940 --> 00:03:26,240 When. 50 00:03:27,350 --> 00:03:28,190 How many times? 51 00:03:28,760 --> 00:03:30,760 You will write 235 times. 52 00:03:31,160 --> 00:03:31,460 When. 53 00:03:32,530 --> 00:03:36,130 And that will correspond to 235 in decimal. 54 00:03:37,110 --> 00:03:40,920 So unwaged know my system is very inefficient and time consuming. 55 00:03:41,340 --> 00:03:43,200 That's why we will never use it. 56 00:03:44,190 --> 00:03:46,470 So we will study only we did it on my system. 57 00:03:55,360 --> 00:03:56,710 So I engaged in my system. 58 00:03:56,830 --> 00:03:59,500 We will study four types of within in my system. 59 00:04:00,190 --> 00:04:01,420 First is decimal. 60 00:04:03,250 --> 00:04:04,690 Second is binary. 61 00:04:08,430 --> 00:04:09,990 Third is octal. 62 00:04:12,460 --> 00:04:14,470 And is hexadecimal. 63 00:04:18,050 --> 00:04:20,020 OK, so I invaded my system. 64 00:04:20,290 --> 00:04:25,690 These food are the most famous, rigid, no system, and hence we will study only these food. 65 00:04:26,260 --> 00:04:27,000 So let's start. 66 00:04:27,980 --> 00:04:30,040 So first time having decimal in my system. 67 00:04:32,320 --> 00:04:40,190 So decimal system is most commonly used name system, and we use it in our day to day life base or against 68 00:04:40,240 --> 00:04:45,140 it, our mix of our decimal number system is 10 and that digits are. 69 00:04:47,250 --> 00:04:47,820 Zero. 70 00:04:48,090 --> 00:04:50,280 One, two, three. 71 00:04:51,960 --> 00:04:54,360 Six, seven, eight and nine. 72 00:04:55,440 --> 00:05:02,400 So I'm having total 10 digits, or you can see Buzard radix of our decimal number system is 10. 73 00:05:03,900 --> 00:05:05,400 OK, so let's take an example. 74 00:05:08,380 --> 00:05:13,420 Let's say my number is three, two, five, eight and nine. 75 00:05:14,570 --> 00:05:16,070 So this is a decimal number. 76 00:05:16,630 --> 00:05:16,880 OK. 77 00:05:17,300 --> 00:05:19,070 So what is the rate of digit nine? 78 00:05:19,520 --> 00:05:21,960 So the rate of digit nine is ten to the power. 79 00:05:21,980 --> 00:05:22,400 Zero. 80 00:05:23,240 --> 00:05:24,050 We're double digit. 81 00:05:24,280 --> 00:05:27,180 Distant to the part when we double digit. 82 00:05:27,230 --> 00:05:30,060 Five is ten to the power to weight off. 83 00:05:30,080 --> 00:05:31,640 What did you do is to the power. 84 00:05:31,660 --> 00:05:32,080 Three. 85 00:05:32,430 --> 00:05:35,420 We are double digit for eastern with about four and so on. 86 00:05:36,680 --> 00:05:37,300 Ten to the power. 87 00:05:37,310 --> 00:05:38,540 Five 10 to the power. 88 00:05:38,540 --> 00:05:40,040 Sixteen to the power of seven. 89 00:05:40,490 --> 00:05:41,750 And it will keep going on. 90 00:05:42,560 --> 00:05:42,890 Okay. 91 00:05:43,430 --> 00:05:44,870 So invest malama system. 92 00:05:45,440 --> 00:05:52,400 My base or against it exist in and I am having to beloff 10 digits starting from zero till nine. 93 00:05:53,090 --> 00:05:55,730 And this is an example of four decimal number system. 94 00:05:56,390 --> 00:05:58,670 So this ten represent that. 95 00:05:58,670 --> 00:05:59,870 This is a decimal number. 96 00:06:00,470 --> 00:06:02,510 Okay, so 10 represent that. 97 00:06:02,840 --> 00:06:04,320 This is a decimal number. 98 00:06:07,790 --> 00:06:10,320 OK, so let's talk about bindery number system. 99 00:06:13,030 --> 00:06:14,370 By naming them my system. 100 00:06:17,260 --> 00:06:19,240 So, Bundeena, my system is important. 101 00:06:19,360 --> 00:06:19,690 Why? 102 00:06:20,140 --> 00:06:23,380 Because computer understand only binary, and that is zero. 103 00:06:23,470 --> 00:06:27,640 And when and data in computer memory is stored in binary. 104 00:06:28,750 --> 00:06:31,450 OK, so base order can say it. 105 00:06:31,450 --> 00:06:32,760 Relics of our by need. 106 00:06:32,850 --> 00:06:38,170 My system is doomed because I'm having only two digits to zero and one. 107 00:06:39,460 --> 00:06:41,190 Zero and one. 108 00:06:42,270 --> 00:06:49,120 Let's take an example, let's say when one zero zero one zero one supports. 109 00:06:49,450 --> 00:06:52,030 This is a binary number based two. 110 00:06:52,450 --> 00:06:53,440 So B is two means. 111 00:06:53,560 --> 00:06:55,280 This is a binary number. 112 00:06:57,140 --> 00:07:02,400 OK, so one has a very tough door to the bar as zero. 113 00:07:02,920 --> 00:07:05,100 This has a weight off to the Bodmin. 114 00:07:05,620 --> 00:07:07,840 This digit has a very tough to square. 115 00:07:08,230 --> 00:07:10,390 This dude has a very tough crowd of about three. 116 00:07:10,750 --> 00:07:12,590 This has a very tough to depart for. 117 00:07:13,090 --> 00:07:15,470 This has a weight of two to the power five. 118 00:07:15,910 --> 00:07:18,010 And this has a weight of two to the parsecs. 119 00:07:18,040 --> 00:07:19,240 And it will keep going on. 120 00:07:19,640 --> 00:07:19,900 Okay. 121 00:07:21,280 --> 00:07:29,020 So one, two, four, eight, sixteen, 32, 64 and so on. 122 00:07:29,260 --> 00:07:30,340 So these are words. 123 00:07:30,900 --> 00:07:31,170 OK. 124 00:07:34,540 --> 00:07:36,090 Him as this loser are. 125 00:07:38,070 --> 00:07:41,400 Now, let's talk about, OK, Bellambi system. 126 00:07:46,920 --> 00:07:52,490 Base or you can see the right mix of the lumber system, is it? 127 00:07:53,040 --> 00:07:54,120 And the digits are. 128 00:07:56,850 --> 00:07:57,540 Zero. 129 00:07:57,630 --> 00:08:01,950 One, two, three, five, six and seven. 130 00:08:02,430 --> 00:08:04,240 So I'm having total eight digits. 131 00:08:04,590 --> 00:08:07,470 That's very bizarre relics of our Columbus system, is it? 132 00:08:08,210 --> 00:08:09,420 Let us take an example. 133 00:08:10,800 --> 00:08:13,160 Suppose three. 134 00:08:13,260 --> 00:08:14,070 Five. 135 00:08:14,220 --> 00:08:14,760 One. 136 00:08:15,090 --> 00:08:15,330 Two. 137 00:08:15,810 --> 00:08:17,340 So this is an optimal number. 138 00:08:17,400 --> 00:08:17,730 Why? 139 00:08:17,820 --> 00:08:19,410 Because I have written it here. 140 00:08:19,740 --> 00:08:21,900 So this is represent that. 141 00:08:21,990 --> 00:08:23,580 This is that of the lumber. 142 00:08:25,760 --> 00:08:27,050 Very tough as you do is. 143 00:08:27,230 --> 00:08:28,160 It was about zero. 144 00:08:28,300 --> 00:08:29,070 We're double digit. 145 00:08:29,090 --> 00:08:32,080 One is eight to the bar, one very tough digit. 146 00:08:32,090 --> 00:08:35,090 Five is it to the power to their double digit. 147 00:08:35,150 --> 00:08:37,580 Three, is it to about three and so on. 148 00:08:38,030 --> 00:08:38,300 OK. 149 00:08:38,690 --> 00:08:40,700 It is about forwarded to the power of five. 150 00:08:40,760 --> 00:08:42,320 It is about a six and so on. 151 00:08:46,850 --> 00:08:49,640 Now, let's talk about hexadecimal and my system. 152 00:08:51,980 --> 00:08:54,830 Hexadecimal, no system. 153 00:08:58,810 --> 00:09:04,930 So in our computer's memory, addresses are stored in hexadecimal numbers. 154 00:09:05,540 --> 00:09:05,840 OK? 155 00:09:06,490 --> 00:09:10,810 In our computer's memory and this is stored in hexadecimal numbers. 156 00:09:11,710 --> 00:09:11,880 OK. 157 00:09:11,980 --> 00:09:16,900 So base or against the right mix of our hexadecimal number is. 158 00:09:17,870 --> 00:09:18,350 Sixteen. 159 00:09:18,770 --> 00:09:19,790 And their budget said. 160 00:09:22,820 --> 00:09:23,390 Zero. 161 00:09:23,900 --> 00:09:28,640 One, two, three, seven, eight, nine. 162 00:09:29,180 --> 00:09:35,000 And then I'm having A, B, C, D, E and F. 163 00:09:36,000 --> 00:09:38,910 So it means Den and be present. 164 00:09:39,000 --> 00:09:39,540 Fifteen. 165 00:09:40,470 --> 00:09:43,980 And here I am having 11 to 14. 166 00:09:44,730 --> 00:09:45,470 And 13. 167 00:09:46,160 --> 00:09:48,820 Okay, so these are total 16 digits. 168 00:09:49,410 --> 00:09:52,440 And I can see base or Reddick's of I hexadecimal. 169 00:09:52,470 --> 00:09:54,150 My system is 16. 170 00:09:54,930 --> 00:09:56,130 Let us take an example. 171 00:09:56,880 --> 00:10:00,840 When the three F to. 172 00:10:02,330 --> 00:10:03,400 Base 16. 173 00:10:03,710 --> 00:10:07,550 So this 16 represent that this is a hexadecimal number. 174 00:10:08,380 --> 00:10:14,980 We are double digit two is sixteen to the power about zero Veda offered digit F is 16 to the bar, one 175 00:10:15,390 --> 00:10:16,330 very tough digit. 176 00:10:16,390 --> 00:10:19,540 Three is sixteen to the power to their double digit. 177 00:10:19,600 --> 00:10:21,360 There is sixteen to the power 23. 178 00:10:21,740 --> 00:10:23,230 And similarly, we're double digit. 179 00:10:23,260 --> 00:10:25,150 One is 16, but about four. 180 00:10:26,440 --> 00:10:29,100 Now you may be thinking what is D and F? 181 00:10:29,590 --> 00:10:31,510 So there is basically 13. 182 00:10:33,410 --> 00:10:34,760 And efforts fifteen. 183 00:10:35,210 --> 00:10:41,300 So if we want to perform any calculation on hexadecimal numbers, I will consider these as Tartine. 184 00:10:41,750 --> 00:10:43,600 And I will consider efforts. 185 00:10:43,730 --> 00:10:44,240 Fifteen. 186 00:10:44,720 --> 00:10:44,970 OK. 187 00:10:45,590 --> 00:10:49,880 But if we want to represent 13 in hexadecimal number, I will write these. 188 00:10:50,120 --> 00:10:51,160 I will not write 13. 189 00:10:51,290 --> 00:10:52,110 I will read these. 190 00:10:52,670 --> 00:10:52,970 OK. 191 00:10:57,200 --> 00:11:00,830 So these are four most popular waited in my system. 192 00:11:03,340 --> 00:11:06,160 It takes off for days and the limbic system is Ben. 193 00:11:07,570 --> 00:11:13,300 Takes off by noon, and my system is too laidig, so -- love, my system is eight and radix off 194 00:11:13,330 --> 00:11:15,700 hexadecimal and my system is 16. 195 00:11:17,040 --> 00:11:21,900 I can also have many more rigid in my system, for example, base. 196 00:11:22,890 --> 00:11:24,760 Three rigid no system BS. 197 00:11:25,230 --> 00:11:31,340 We did the most system base, seven rigid, no system base, eleven rigid number system and minimal. 198 00:11:32,680 --> 00:11:36,880 And these four items most popular and we will only started this. 199 00:11:37,210 --> 00:11:37,500 OK. 200 00:11:38,080 --> 00:11:42,820 And in these four, we're doing them a system bindery and asimilar most important. 201 00:11:43,660 --> 00:11:43,940 OK. 202 00:11:44,410 --> 00:11:47,290 So in the next class, we will learn about convergence. 203 00:11:49,010 --> 00:11:51,530 So next class will be on convergence. 204 00:11:51,980 --> 00:11:53,440 So what is the meaning of confusion? 205 00:11:53,480 --> 00:11:58,010 Confusion means how will you convert a binary number to a decimal number? 206 00:12:00,150 --> 00:12:01,020 Or vice versa. 207 00:12:01,620 --> 00:12:06,390 Similarly, how we look on word are decimal number two in octa lumber or vice versa. 208 00:12:06,950 --> 00:12:10,070 Okay, so in next class we will learn about convergence. 209 00:12:10,710 --> 00:12:12,520 So I hope you enjoyed today's return. 210 00:12:12,840 --> 00:12:13,290 I will soon. 211 00:12:13,290 --> 00:12:13,920 The next one.