ᠲᠷᠢᠨᠠᠷᠢ ᠰᠢᠰᠲ᠋ᠧᠮ

ᠭᠤᠷᠪᠠᠲᠤ  ᠶᠢᠨ ᠲᠣᠭᠠᠯᠠᠯ  ᠤᠨ ᠰᠢᠰᠲ᠋ᠧᠮ ᠪᠤᠶᠤ ᠲᠷᠢᠨᠠᠷᠢ

ᠲᠷᠢᠨᠠᠷᠶ ᠰᠢᠰᠲ᠋ᠧᠮ ᠨᠢ 0᠂1᠂2ᠭᠡᠬᠦ ᠭᠤᠷᠪᠠᠨ ᠲᠣᠭ᠎ᠠ  ᠶᠢ ᠠᠰᠢᠭᠯᠠᠵᠤ ᠲᠣᠭᠠᠯᠠᠬᠤ ᠰᠢᠰᠲ᠋ᠧᠮ ᠪᠦᠭᠡᠳ ᠲᠷᠢᠲ᠋ (trit - trinary digit) ᠭᠡᠨ᠎ᠡ︔ᠲᠷᠢᠨᠠᠷᠶ ᠰᠢᠰᠲ᠋ᠡᠮ ᠨᠢ ᠪᠢᠨᠠᠷᠢ (ᠬᠣᠶᠠᠷᠲᠤ  ᠶᠢᠨ ᠲᠣᠭᠠᠯᠠᠯ  ᠤᠨ ᠰᠢᠰᠲ᠋ᠧᠮ)  ᠶᠢ ᠠᠰᠢᠭᠯᠠᠭᠰᠠᠨ ᠡᠴᠡ log₂3 ᠪᠤᠶᠤ ~1.58496 ᠳᠠᠬᠢᠨ ᠶᠡᠬᠡ ᠮᠡᠳᠡᠭᠡᠯᠡᠯ  ᠶᠢ ᠨᠢᠭᠡ ᠲᠷᠢᠨᠠᠲ  ᠳᠤᠷ ᠠᠭᠤᠯᠵᠤ ᠴᠢᠳᠠᠨ᠎ᠠ᠃

ᠬᠡᠷᠡᠭᠯᠡᠭᠡ

ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ  ᠤᠳ ᠶᠡᠬᠡᠪᠴᠢᠯᠡᠨ ᠪᠢᠨᠠᠷᠢ ᠰᠢᠰᠲ᠋ᠧᠮ ᠠᠰᠢᠭᠯᠠᠳᠠᠭ ᠪᠣᠯ ᠵᠠᠷᠢᠮ ᠨᠢ ᠲᠷᠢᠨᠠᠷᠢ ᠠᠰᠢᠭᠯᠠᠳᠠᠭ ᠪᠠᠢᠢᠨ᠎᠃ ᠮᠦᠨ ᠵᠠᠷᠢᠮ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ  ᠤᠳ 0᠂1᠂2 /unbalanced/ ᠪᠢᠰᠢ -1᠂0᠂1 /balanced ᠲᠷᠢᠨᠠᠷᠢ/  ᠶᠢ ᠠᠰᠢᠭᠯᠠᠵᠤ ᠬᠢᠯᠪᠠᠷ ᠬᠠᠷᠢᠴᠠᠭᠤᠯᠤᠯᠲᠠ ᠬᠢᠳᠡᠭ ᠪᠠᠢᠢᠨ᠎ᠠ᠃ ᠪᠢᠳᠡᠨ  ᠤ ᠡᠳᠦᠷ ᠪᠦᠷᠢ ᠠᠰᠢᠭᠯᠠᠳᠠᠭ ᠪᠢᠨᠠᠷᠢ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ  ᠤᠨ ᠲᠷᠠᠨ᠍ᠽᠢᠰᠲ᠋ᠣᠷ ᠴᠡᠨᠡᠭ ᠲᠡᠢ ᠡᠰᠡᠪᠡᠯ ᠴᠡᠨᠡᠭ ᠦᠭᠡᠢ ᠭᠡᠬᠦ ᠬᠣᠶᠠᠷ ᠲᠦᠯᠦᠪ ᠲᠤ ᠣᠷᠣᠰᠢᠬᠤ ᠪᠣᠯᠣᠮᠵᠢ ᠲᠠᠢ ᠪᠣᠯ ᠲᠷᠢᠨᠠᠷᠢ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ  ᠤᠨ ᠬᠢ (ᠲᠷᠠᠨ᠍ᠽᠢᠰᠲᠣᠷ ᠪᠤᠰᠤ ᠲᠷᠢᠨᠠᠷᠢ ᠯᠣᠭᠢᠻ ᠬᠠᠭᠠᠯᠭ᠎ᠠ ᠠᠰᠢᠭᠯᠠᠳᠠᠭ) ᠭᠤᠷᠪᠠᠨ ᠲᠦᠯᠦᠪ ᠲᠤᠷ ᠣᠷᠤᠰᠢᠬᠤ ᠪᠣᠯᠤᠮᠵᠢᠲᠠᠢ᠃

ᠪᠢᠨᠠᠷᠢ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ ᠪᠣᠯᠤᠨ ᠲᠷᠢᠨᠠᠷᠢ ᠻᠣᠮᠫᠶᠦ᠋ᠲ᠋ᠧᠷ  ᠤᠨ ᠲᠷᠠᠨ᠍ᠽᠢᠰᠲ᠋ᠣᠷ  ᠤᠨ ᠢᠯᠭᠠᠭ᠎ᠠ

᠃ Balanced ᠲᠷᠢᠨᠠᠷᠢ ᠠᠰᠢᠭᠯᠠᠵᠤ ᠪᠠᠢᠢᠭ᠎ᠠ ᠦᠢ᠎ᠡ  ᠳᠤᠷ ᠡᠶᠡᠷᠭᠦ ᠲᠣᠭ᠎ᠠ  ᠶᠢ ᠰᠦᠷᠦᠭ ᠲᠣᠭ᠎ᠠ ᠪᠣᠯᠭᠠᠬᠤ᠂ ᠪᠤᠴᠠᠭᠠᠬᠤ  ᠳᠤᠷ ᠬᠢᠯᠪᠠᠷ ᠪᠠᠢᠢᠳᠠᠭ ᠪᠠᠢᠢᠨ᠎ᠠ᠃ ᠤᠴᠢᠷ ᠨᠢ ᠪᠦᠬᠦ -1  ᠢ 1᠂ 1  ᠢ -1 ᠪᠣᠯᠭᠤᠭᠠᠳ ᠯᠠ ᠪᠣᠯᠤᠨ᠎ᠠ᠃ ᠮᠦᠨ ᠲᠠ ᠲᠷᠢᠨᠠᠷᠶ ᠰᠢᠰᠲ᠋ᠧᠮ  ᠢ ᠠᠰᠢᠭᠯᠠᠨ ᠦᠪᠡᠷ  ᠶᠢᠨ ᠭᠠᠷ ᠳᠡᠭᠡᠷ᠎ᠡ ᠪᠡᠨ 59048 ᠬᠥᠷᠡᠲᠡᠯ ᠲᠣᠭᠠᠯᠠᠬᠤ ᠪᠣᠯᠣᠯᠮᠵᠢᠲᠠᠢ᠃

ᠲᠣᠭ᠎ᠠ ᠨᠤᠭᠤᠳ

1 ᠡᠴᠡ 27 ᠬᠥᠷᠡᠲᠡᠯ ᠲᠣᠭ᠎ᠠ ᠨᠤᠭᠤᠳ

ᠪᠢᠨᠠᠷᠢ	ᠲᠷᠢᠨᠠᠷᠶ	ᠠᠷᠪᠠᠲᠤ
1	1	1
10	2	2
11	10	3
100	11	4
101	12	5
110	20	6
111	21	7
1000	22	8
1001	100	9
1010	101	10
1011	102	11
1100	110	12
1101	111	13
1110	112	14
1111	120	15
10000	121	16
10001	122	17
10010	200	18
10011	201	19
10100	202	20
10101	210	21
10110	211	22
10111	212	23
11000	220	24
11001	221	25
11010	222	26
11010	1000	27

ᠰᠠᠯᠪᠦᠷᠢ ᠰᠢᠰᠲ᠋ᠧᠮ  ᠦᠳ

ᠮᠦᠨ ᠭᠤᠷᠪᠠᠲᠤ  ᠶᠢᠨ ᠰᠢᠰᠲ᠋ᠡᠮ  ᠢ ᠰᠢᠬᠠᠵᠤ ᠨᠢᠭᠡ ᠲᠡᠮᠳᠡᠭᠲᠤ  ᠳᠤᠷ ᠢᠯᠡᠭᠦᠦ ᠮᠡᠳᠡᠭᠡᠯᠡᠯ ᠠᠭᠤᠯᠠᠬᠤ ᠵᠣᠷᠢᠯᠭ᠎ᠠ ᠪᠠᠷ ᠶᠢᠰᠦᠲᠤ᠂ ᠬᠣᠷᠢᠨ ᠳᠣᠯᠤᠭᠠᠲᠤ  ᠶᠢᠨ ᠰᠢᠰᠲ᠋ᠧᠮ  ᠤᠳ  ᠢ ᠠᠰᠢᠭᠯᠠᠵᠤ ᠪᠣᠯᠤᠨ᠎ᠠ᠃ ᠡᠨᠡ ᠨᠢ ᠪᠢᠨᠠᠷᠢ ᠰᠢᠰᠲ᠋ᠧᠮ ᠨᠠᠢᠢᠮᠠᠲᠤ᠂ ᠠᠷᠪᠠᠨ ᠵᠢᠷᠭᠤᠭᠠᠲᠤ  ᠶᠢ ᠠᠰᠢᠭᠯᠠᠳᠠᠭ ᠲᠠᠢ ᠠᠳᠠᠯᠢ ᠶᠤᠮ᠃

ᠪᠤᠰᠤᠳ ᠲᠣᠭᠠᠯᠠᠯ  ᠤᠨ ᠰᠢᠰᠲ᠋ᠧᠮ  ᠦᠳ

ᠬᠣᠶᠠᠷᠲᠣ ᠊ᠢᠢᠨ ᠲᠣᠭᠠᠯᠠᠯ ᠊ᠤᠨ ᠰᠢᠰᠲ᠋ᠡᠮ