How to Convert Decimal to Binary - By tecmath
Transcript
| 00:01 | Good day . Welcome to Tech Math channel . This | |
| 00:02 | is a really quick explanation on how to convert decimal | |
| 00:05 | numbers to binary numbers , decimal numbers . These are | |
| 00:07 | base 10 numbers which use the digits 0123456789 10 digits | |
| 00:14 | . And also what happens is it goes up by | |
| 00:16 | factors of 10 h . Times like we go from | |
| 00:19 | tens From units to 10s , Two hundreds and each | |
| 00:22 | time we're going up 10 times the amount as we | |
| 00:24 | move up to each next our place value . Whereas | |
| 00:28 | based to only uses two digits that is zero and | |
| 00:32 | one and each progressive movement up . I guess if | |
| 00:34 | you can think about it being tens and hundreds is | |
| 00:37 | going up by a factor of two each time . | |
| 00:39 | Okay , so it's doubling . So A detailed explanation | |
| 00:43 | of this I have above and I also have in | |
| 00:45 | the link below . So if you want to see | |
| 00:47 | this it might be really , really worth having a | |
| 00:49 | look at what we're going to be looking at how | |
| 00:51 | to convert these across fairly quickly . So the first | |
| 00:54 | thing we're gonna do is I'm going to show you | |
| 00:55 | how to convert 26 across to its binary equivalent . | |
| 00:59 | So what we do first is two steps here . | |
| 01:01 | Two major steps is the first thing we do is | |
| 01:03 | we are going to start On the right here and | |
| 01:06 | I'm gonna start with the one and I'm gonna start | |
| 01:08 | doubling this number . I'm going to keep doubling up | |
| 01:10 | until the doubling I get would exceed 26 . I'll | |
| 01:14 | show you what I mean . So one , two | |
| 01:16 | double of two is four , double of four is | |
| 01:19 | eight , double of eight is 16 and double 16 | |
| 01:22 | is 32 . So I don't need to go that | |
| 01:24 | far because that would exceed 26 . That's the first | |
| 01:27 | step . The next thing we do is going to | |
| 01:28 | look at these numbers we have here and see what | |
| 01:30 | numbers we need to add to get 26 . So | |
| 01:33 | I'd start on 16 and I think okay 16 plus | |
| 01:35 | eight is 24 . We will use that one as | |
| 01:38 | well . What number do we need to add to | |
| 01:40 | 24 to get 26 ? And it's too . So | |
| 01:43 | these numbers are going to have zeros . The binary | |
| 01:46 | equivalent of 26 is 11010 What ? I'll give you | |
| 01:52 | a couple of examples . So why don't we try | |
| 01:55 | to do desolate 14 across to its binary equivalent and | |
| 01:59 | 35 across to its binary equivalent ? So the first | |
| 02:03 | thing we do is we're going to start on the | |
| 02:05 | right here and start doubling . So one 248 . | |
| 02:10 | But we don't need to go up to 16 because | |
| 02:12 | it would exceed 14 . Now we're looking at these | |
| 02:15 | numbers what we need to add to get 14 . | |
| 02:18 | Okay so one is going to go into the idea | |
| 02:20 | we're gonna be using that i id Plus four is | |
| 02:24 | equal to 12 . 12 Plus two is equal to | |
| 02:28 | 14 . We don't need this one here . So | |
| 02:30 | 14 in binary is 1110 for 35 . We're gonna | |
| 02:36 | start doubling 1248 16 and 32 . But we don't | |
| 02:43 | need to go any further obviously . So we're gonna | |
| 02:45 | be using this 32 . We always use this first | |
| 02:48 | number here on the left and to 32 you can | |
| 02:51 | probably think okay we just need to add three to | |
| 02:53 | it so three can be made up Of two and | |
| 02:55 | one . The rest of these numbers are we going | |
| 02:58 | to put a zero underneath ? So 35 in binary | |
| 03:01 | is 100011 . And that's how you convert any decimal | |
| 03:07 | number to binary really quickly . Really easily . Anyway | |
| 03:10 | , tell us what you think of that video and | |
| 03:12 | please remember to like and subscribe anyway . Thank you | |
| 03:14 | for watching . We'll see you next time . Bye | |
| 00:0-1 | . |
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