Кодирование числовой информации . Системы счисления

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1

. : .. , - , , . , , . (, ) . . , . - (): , , .

, , . ().

. , , , , . . , 1, 10, 100 . . - . , .

. , , , . I ( ) 1, V ( ) 5, X ( ) 10, 100, 500 1000 I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M =1000

- ( ): MXI = 1011; - , : XIX = 19; - I, X, C: - I V X; - X L C; - C D M; - . I, X, C, M; - V, L, D ; - I, X, C ( ) ; - , . . .

, , .

1 9, ( 10 90) ( 100 900) .

1101001 000220200330300440400550500660600770700880800990900

:

, . () () .

.

, , . /

, , . 4 000 .

. , 2. q (q- ) q , 0, 1, q-1. .

: q = 10.: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ( 10), . 10, , :

, :

: q = 2.: 0, 1. ( 2), . 2, , :

at (0 1), :

: q = 8.: 0, 1, 2, 3, 4, 5, 6, 7.

: q = 16.: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

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