3.4.1. ДВОИЧНАЯ СИСТЕМА СЧИСЛЕНИЯ

  




  


Цифры: 0 и 1
       { 0, 1 }

  




Базис:
	-------------
	P	2^P
	-------------	
	10	1024
	9	512
	8	256
	7	128
	6	64
	5	32
	4	16
	3	8
	2	4
	1	2
	0	1
	-1	1/2
	-2	1/4
	-3	1/8
	-4	1/16
	-5	1/32
	-6	1/64
	-7	1/128
	-8	1/256
	-9	1/512
	-10	1/1024
	-------------	



Таблица сложения:

         + |  0   1
	---+--------
	 0 |  0   1
	 1 |  1   10



Таблица умножения:

         * |  0   1
	---+--------
	 0 |  0   0
	 1 |  0   1



Числа
	------------------------------------
	Binary  |	| Octal	| Hexdecimal
	{2}	|  {4}	|  {8}  | {16}
	--------+-------+-------+-----------
	   0000 |  00   |  00   |  0	
	   0001 |  01 	|  01   |  1
	   0010 |  02   |  02   |  2
	   0011 |  03   |  03   |  3
	   0100 |  10   |  04   |  4
	   0101 |  11   |  05   |  5
	   0110 |  12   |  06   |  6
	   0111 |  13   |  07   |  7
	   1000 |  20   |  10   |  8
	   1001 |  21   |  11   |  9
	   1010 |  22   |  12   |  A
	   1011 |  23   |  13   |  B
	   1100 |  30   |  14   |  C
	   1101 |  31   |  15   |  D
	   1110 |  32   |  16   |  E
	   1111 |  33	|  17   |  F
	------------------------------------



Дробные числа:

	--------------------
	.0	= 0
	.1	= 1/2

	.00	= 0
	.01	= 1/4
	.10	= 2/4 = 1/2
	.11	= 3/4

	.000	= 0
	.001	= 1/8
	.010	= 2/8 = 1/4
	.011	= 3/8
	.100	= 4/8 = 1/2
	.101	= 5/8
	.110	= 6/8 = 3/4
	.111	= 7/8

	.0000	= 0
	.0001	= 1/16
	.0010	= 2/16 = 1/8
	.0011	= 3/16
	.0100	= 4/16 = 1/4
	.0101	= 5/16
	.0110	= 6/16 = 3/8
	.0111	= 7/16
	.1000	= 8/16 = 1/2
	.1001	= 9/16
	.1010	= 10/16 = 5/8
	.1011	= 11/16
	.1100	= 12/16 = 3/4
	.1101	= 13/16
	.1110	= 14/16 = 7/8
	.1111	= 15/16
	--------------------




Таблица степеней 2:

	----------------------------------------------
	2^1	2
	2^2	4		4^1
	2^3	8                   	8^1
	2^4	16              4^2       	16^1
	2^5	32
	2^6	64              4^3     8^2
	2^7	128
	2^8	256             4^4       	16^2
	2^9	512                     8^3
	2^10	1024            4^5
	2^11	2048
	2^12	4096            4^6     8^4     16^3
	2^13	8192
	2^14	16384           4^7
	2^15	32768                   8^5
	2^16	65536           4^8             16^4
	2^17	131072
	2^18	262144          4^9     8^6
	2^19	524288
	2^20	1048576         4^10            16^5
	----------------------------------------------
	2^21 = 2097152
	2^22 = 4194304
	2^23 = 8388608
	2^24 = 16777216
	2^25 = 33554432
	2^26 = 67108864
	2^27 = 134217728
	2^28 = 268435456
	2^29 = 536870912
	2^30 = 1073741824
	2^31 = 2147483648
	2^32 = 4294967296
	2^33 = 8589934592
	2^34 = 17179869184
	2^35 = 34359738368
	2^36 = 68719476736
	2^37 = 137438953472
	2^38 = 274877906944
	2^39 = 549755813888
	2^40 = 1099511627776
	2^41 = 2199023255552
	2^42 = 4398046511104
	2^43 = 8796093022208
	2^44 = 17592186044416
	2^45 = 35184372088832
	2^46 = 70368744177664
	2^47 = 140737488355328
	2^48 = 281474976710656
	2^49 = 562949953421312
	----------------------------------------------