a little war well Hi dear student Welcome back to the next explainer Video tutorials As in the previous

topic we will also use a counter here But unlike the tide system here the number of digits will only

be two Let's assume that we have a number that has three digits a junior digit A senior digit the

most senior digit and each digit has its own counter And this counter for that digit And with the

help of a yellow point we here will specify a step or opposition in which

this or that digit is It is the younger digit The senior is the most senior digit while there are

no mammoths And we stand in the first step by analogy with the decimal system

at us The younger side is here this position therefore the first changes it accordingly will work

First discounter we saw the first mammoth and it has counted in this digit We change a

condition That is it was zero The point has passed here that is have made one

step and value of this digit became one I We have counted one mammoth As soon as the second

mammoth appears and as soon as we have counted it we have made one step that is having made one

more step We come back to the beginning of this counter about what this arrow and a yellow point

speaks That is we had here one mammoth appeared One more mammoth and there were two And as we have

the counter only two extra systems can accept only 01 that is paired mammoths throws on the senior digit here

and here appears a unit Actually it is not a unit but a pair of mammoths Here

is the meaning of this unit a pair of mammoths here units of mammoths When here appears

a unit it is one mammoth and when appears one more mammoth them becomes too We throw them

in this box and we designate one so one is one bear of mammoths And these two mammoths we have

designated as one That means one bear of mammoths And notice as soon as we took

a step and through a pair of mammoths here the value of the high digit

has changed That is the counter of the second digit also triggered a step and the counter took

the value of one unit And the third counter we still stand in its place As

soon as another mammoth appeared we changed the state of the junior digit There was zero

We made a step became one Here we have one bear of mamet's Here we have one

unit of mammoths in total three in system 011 It is equal to three decimal

system Apparently for example we count in decimal system one mammoth two mammoths three mammoths 10

individuals Then these three mammoths in the system will take values as soon as we

have counted The fourth mammoth that is we had one mammoth Here there was one more table

too That is we threw this pair here But here already we have one pair and the counter

of this digit two at us can accept only two values So it's also full So this register

in turn clothes Two pairs over here and one appears here There was one mammoth Here there was

a paired Here we have four mammoths So to buy two pairs of mammoths equals for here the mammoths

We transferred accordingly This value we have updated that We have 100 value 1002 Personal system equals four Decimal system

is clear At first we had one pair of mammoths already there was one then we had

one more for this pair We transferred here and here became two pairs It does

not fit here anymore So these two pairs are for that we threw over here and

there is a unit of four mammoths and there is one unit that's here means one mammoth The unit that's

here means a pair of mammoths The unit that's here means for mammoths From here we can see

an analogy with the decimal system In the decimal system the first position were units in the 2nd

have in the first position Units in the second position tools and the third position force If

there will be one more position If many mammoths we will count Yes here accordingly will

be already three AIDS If one more position here 16 will be one position 32 That is each digit

will be two times more than the previous And in the decimal system there were 10 This digit was

greater than this decimal system The difference is 10 And in the two systems the difference would

be two times the units off 248 That is each unit in each digit would have way

Here The tools of 4th of AIDS here are 16 and here 32 As you see the

analogy is complete except for the base and the base we can see the name of this system to system

means each digit will change by a factor of two with the increase of a

digit in the decimal 10 times eight times eight and so on But these systems

we will consider a little later with the occurrence of the following mammoth value of this category changes on the

opposite That is it was zero became one with the occurrence of the following mammoth Here was one

will appear one more mammoth became too Here already does not fit we transfer this

pair Here here was zero Here appeared one Here we have four mammoths There is a pair of mammoths

here No mammoths Accordingly 1 1 0 is six mammoths one more mammoth will appear accordingly We have changed

the condition of this category and 1112 persons in the tight system will be seven 46 What

happens with the appearance of another member here we had one mammoth was another counter

appeared And through the value here but there was already one pair of mammoths They became four So this fall

We through here but here already afford that is to force no longer fit and here

these eight mammoths We through here is respectively updated Here appears a one and we get

will write the number intend superfluous system It is not present mammoth One mammoth to mammoth

We overflow counters and value passed to the previous position Actually we could write on correct Zero

mammoths we have transferred to this position and appeared one instead of zero I We returned to

the beginning of the counter Now let's see how it happens in the system of the absence of mammoths in

all positions 2000 One mammoth appeared with the appearance of the 2nd mammoth We have

these counter overflows With the appearance of another mammoth We have a one here We have the counter

overflows here too All two pairs we pass here appears one actually it is not one it

is four Here unit weight is equal to one It is one mammoth In the second position unit weight

is equal to do in the third position unit weight is equal to four And in the fourth position

unit weight is equal to eight and so on If the number of mammoths will be many

accordingly here of course Why gray highlighted not zeros pulled which are to the left of the

last unit They simply are not written to not wait for the record and as

soon as their value starts to change they start to be written here We wrote only on the unit As

soon as the value of the next position has changed we have already begun to reflect

here was one position here already Two positions and as soon as counters of opposition are failed at us and

the third position appears accordingly We display also the third position Actually here there are a lot of them We

simply do not write them in order not to wait for the record Now we will consider how it

is possible to reflect numbers in the system by analogy with the tight system 1-1 with one exception Since we

have here the system based system of two then instead of 10 in the tight system we will

write to in the tight system we wrote like this 1 to 10 0 degrees

plus another zero such as 10 in the first degree of the base 10 because

it is a tight system and the personal system instead of 10 we write to here is

where these two came from The principle of construction is the same as in the

decimal system We take the value of the first position We write 12 to the power of zero because this

is the zero position plus we take the value of the next digit zero to to

the first power because this is the first position and so on Here is this writing of this number

in the system but as I have already said this number we will allocate here

The note positions This zero position first position 2nd 34 and so on And here these degrees they show

positions If we take their values from the first position multiply two degrees with the value

of position zero here First position 2nd 3rd 4th and so on here is an analogy

with tide system 121 Here we write the basis of the system in the next topic Dear colleagues we will

consider the river system and before proceeding to the next topic you need to do your homework and only after

doing your homework Do you need to continue your studies after you have not learned

the previous lessons There is no special point in proceeding to the next topic Because you see in

each next topic we refer to the information we received in the previous topic I wish you

success If you have any questions in I'm more than sure you and we can make it work

Thanks for watching