Why 8+9 = 19, cause we talk in base 10, if we talk in base then 11+8 = 21, (cause there is no number 9 in base 9), and how its result if we talk in base 8, base 7, or may be in base 2? (we explain for next...)

Seems has become international agreement that we talk in base 10, it is number system with using 10 numbers, cause easily its logic is many numbers which we known are ten kinds, are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, so more fun communicate in base 10

Communication language actually is only an agreement in this world.

Example::

0, 1, 2, 3, 4, 5, 6, 7, 8, and 9

are:

0

Oke, we begin the numbers system...

http://www.convertworld.com/id/angka/Desimal.html

Seems has become international agreement that we talk in base 10, it is number system with using 10 numbers, cause easily its logic is many numbers which we known are ten kinds, are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, so more fun communicate in base 10

Communication language actually is only an agreement in this world.

Example::

- 7 has been agreed be symbol to indicate something which amounts to seven, so that 7 is read by “seven”. If 8 is agreed be symbol to indicate something which amounts to seven, so that 8 is read by “seven”, then true statement is 3+4 = 8 not 3+4 = 7. And if # is agreed be symbol to indicate something which amounts to eight, so that $ is read by “seven”, then true statement is 3+4=# not 3+4=7
- Why color is called by red? Why not black or yellow? Cause its agreement like that. Why color is called by green? Ya... cause be agreed like that
- All this time we know symbol 9 which be agreement as a symbol indicate most in amount(nine), and to indicate amount more than nine, needed incorporation 2 symbol, example 10 is incorporation of symbol 1 and 0, and 33 is incorporation of symbol 3 and 3, etc. If A is agreed as a symbol indicate amount ten, then will be available base 11, is a numbers system using eleven numbers/symbols are:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and A, in which:

- 8+2=A is a true statemen, and 8+2=10 is a false statement
- 10 is a symbol indicate amount eleven, and 11 is not a symbol indicate amount eleven

0, 1, 2, 3, 4, 5, 6, 7, 8, and 9

are:

0

_{10}, 1_{10}, 2_{10}, 3_{10}, 4_{10}, 5_{10}, 6_{10}, 7_{10}, 8_{10}, 9_{10}, 10_{10}, but also has been agreement 4_{10}enough written by 4. Its case is same with some things follows:- enough written by
- enough written by log 1000
- enough written by ln
*a* - BEGITU JUGA 4
_{10}enough written by 4

Oke, we begin the numbers system...

- Numbers system base 10 (familiar with decimal)

Numbers system base 10 is numbers system using 10 numbers, are:

0, 1, 2, 3, 4, 5, 6, 7, 8, and 9

And its writing are 0_{10}, 1_{10}, 2_{10}, 3_{10}, 4_{10}, 5_{10}, 6_{10}, 7_{10}, 8_{10}, and 9_{10}, but cause has been agreement just enough written by 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9

Formula for numbers base 10:

Example:

Example for calculation in base 10:

- 3 + 5 = 8
- 6 - 12 = -7
- 4 x 9 = 36
- 21 / 7 =3

- Numbers system base 9

Numbers system base 9 is numbers system using 9 numbers, are:

0, 1, 2, 3, 4, 5, 6, 7, and 8. And its writing are 0_{9}, 1_{9}, 2_{9}, 3_{9}, 4_{9}, 5_{9}, 6_{9}, 7_{9}, and 8_{9}

Formula for numbers base 9:

Example:

- Convert numbers 32169 to numbers base 10

- Convert numbers 2365 to numbers base 9

First look for*n*value, in which result of 9^{n}equals 2365 or greater than 2365, then gotten 9^{4}= 6561, as while 9^{3}= 729. So 2365 is between 9^{4}with 9^{3}, then:

2365 = ... x 9^{3}+ ... x 9^{2}+ ... x 9^{1}+ ... x 9^{0}

If first blank is filled by number 4, its result will greater than 2365, cause

4 x 9^{3}= 2916, and if first blank is filled by number 3, its result will not greater than 2365, cause

3 x 9^{3}= 2187

So gotten first blank is filled by number 3, so that:

2365 = 3 x 9^{3}+ ... x 9^{2}+ ... x 9^{1}+ ... x 9^{0}

If second blank is filled by number 3, its result will greater than 2365, cause

3 x 9^{3}+ 3 x 9^{2}= 2430,

And if second blank is filled by number 2, its result will not greater than 2365, cause 3 x 9^{3}+ 2 x 9^{2}= 2349, so that:

2365 = 3 x 9^{2}+ 2 x 9^{1}+ ... 9^{0}

With same method like previous gotten:

2365 = 3 x 9^{3}+ 2 x 9^{2}+ 1 x 9^{1}+ 7 x 9^{0}

So, 2365 in base 10 equals 3217 in base 9, or written 2365 = 3217_{9}

- Convert numbers 32169 to numbers base 10
- Numbers System Base 8 (familiar with octal)

Number system base 8 is number system using 8 numbers/symbols, are:

0, 1, 2, 3, 4, 5, 6, and 7

And its writing are:

0_{8}, 1_{8}, 2_{8}, 3_{8}, 4_{8}, 5_{8}, 6_{8}, 7_{8}

Formula for number base 8:

Example:

- Convert numbers 5231
_{8}to base 10 numbers

- Convert numbers 2713 to numbers base 8

With using same method like convert base 10 numbers to base 9 number, then gotten:

- Convert numbers 5231
- Numbers System Base 7 (familiar with septenary)

Number system base 7 is number system using 7 numbers/symbols, are:

0, 1, 2, 3, 4, 5, and 6.

and penulisannya adalah 0_{7}, 1_{7}, 2_{7}, 3_{7}, 4_{7}, 5_{7}, and 6_{7}

Formula for base 7 numbers:

Example:

- Convert numbers 1000
_{7}to base 10 numbers

- Convert numbers 343 to base 7 numbers

With using same method like convert base 10 numbers to base 9 number, then gotten:

- Convert numbers 1000
- Numbers System base 6 (familiar with senary)

Number system base 6 is number system using 6 numbers/symbols, are:

0, 1, 2, 3, 4, and 5.

And its writing are 0_{6}, 1_{6}, 2_{6}, 3_{6}, 4_{6}, and 5_{6}

Formula for base 6 numbers:

Example:

- Convert numbers 3001
_{6}to base 10 numbers

- Convert numbers 649 to base 6 numbers

With using same method like convert base 10 numbers to base 9 number, then gotten:

- Convert numbers 3001
- Numbers System Base 5 (familiar with quinary)

Number system base 5 is number system using 5 numbers, are:

0, 1, 2, 3, and 4.

And its writng are 0_{5}, 1_{5}, 2_{5}, 3_{5}, and 4_{5}

Formula for base 5 numbers:

Example:

- Convert numbers 1234
_{5}to base 10 numbers

- Convert numbers 194 to base 5 numbers

With using same method like convert base 10 numbers to base 9 number, then gotten:

- Convert numbers 1234
- Numbers system base 4 (familiar with quaternary)

Number system base 4 is number system using 4 numbers, are:

0, 1, 2, and 3.

And its writng are 0_{4}, 1_{4}, 2_{4}, and 3_{4}

Formula for base 4 numbers:

Example:

- Convert numbers 2333
_{4}ke base 10 numbers

- Convert numbers 191 to base 4 numbers

With using same method like convert base 10 numbers to base 9 number, then gotten:

- Convert numbers 2333
- Numbers system base 3 (familiar with ternery)

Number system base 3 is number system using 3 numbers, are:

0, 1, and 2.

And its writng are 0_{3}, 1_{3}, and 2_{3}. Formula for base 3 numbers:

Example:

- Convert numbers 1212
_{3}to base 10 numbers

- Convert numbers 50 to base 3 numbers

With using same method like convert base 10 numbers to base 9 number, then gotten:

- Convert numbers 1212
- Numbers system base 2 (familiar with binary)

Number system base 2 is number system using 2 numbers, are:

0 and 1.

And its writng are 0_{2}and 1_{2}

Formula for base 2 numbers:

Example:

- Convert numbers 10100
_{2}to base 10 numbers

- Convert numbers 20 to base 2 numbers

With using same method like convert base 10 numbers to base 9 number, then gotten:

- Convert numbers 10100

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