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827:

827 0688759652

:

- . , , " " " ", .

2963-2 (RUS) . :

2963-2

II ... 372:

!

.

. , , , . 2

. 1

. 2

     . 1 (`80), 133, 155, 155, . 1. a b (. 2). :

(1)
(2)
(3)
(4)
(5)

     a3 b3 +5 R, ( 15,1 ). , , .

     : -, -- , -, ---, ; -, S P [1].

     a1, a2 b1, b2 , . a3 b3 , , . a4 b4 , , .

. 3

     . 3 , 4- , 1 (133, 155). a0 a1 a2, a2 "1" . b0 . a4 b4 "1" ( (4) (5)). S0 . , , .

     , a1 b1 a4 b4 , a1, a2 b1, b2 "0" ( (4) (5)). , , , S , S1 . , , , . .

     2 ( `82), 133, 155, 155, . 4.

. 4

:


( )
(6)

( ---)
(7)
(8)
(9)

     (8) (9) . a1 b1 .

     (6)(9), (. 3), , (4) (5).

     (n > 4) , , , , .

     i- i- . : i- Di i- Fi. i- :

Pi = aibi + aipi + bipi = aibi + (ai + bi) pi = Di + Fipi ,

(10)

     Di = aibi; Fi = ai + bi . Fi : Fi = ai bi ( ). Di Fi :

	     11 1111    
	    01101011
	+ +
	    00100101
	 S   10010000

    , D0 = a0b0 = 1.1 = 1, i = 4, , i = 5 : D5 = a5b5 = 1.1 = 1, i = 7.

     , 4- (, fast) :

P0 = D0 + F0p ,

(11)

     P0 i = 0; p i = 0.

    

P1 = D1 + F1P0,

(12)

     (11) (12), :

P1 = D1 + F1D0 + F1F0p,

(13)

     , :

P2 = D2 + F2P1 = D2 + F2D1 + F2F1D0 + F2F1F0p ,

(14)


P3 = D3 + F3P2 = D3 + F3D2 + F3F2D1 + F3F2F1D0 + F3F2F1F0p ,

(15)

     (12)(13) D1 = a1b1, D2 = a2b2, D3 = a3b3 F1 = a1 + b1, F2 = a2 + b2, F3 = a3 + b3.

     :

S0 = a0 b0 P

(16)

S1 = a1 b1 P0

(17)

S2 = a2 b2 P1

(18)

S3 = a3 b3 P2

(19)

     (11)(19) 3, 133, 155, 155. . 5. , 3 (11)(14). (11) - : P0 = a0b0 + (a0 + b0)p = a0 + b0 + a0b0p.

. 5

     , (11), (13)(15), , , (15) :

D0 = D3 + F3D2 + F3F2D1 + F3F2F1D0

(20)

F0 = F3F2F1F0p

(21)

     D0 ; F0 .

     . 4 (133, 134, 155, 530, 531, 533, 555, 564, 1531, 1533). 179 (100, 500, 1500) 03 (585, 589). () . , "0", , (, ).

    . 5 4, 134 ( 80- ). , . 3, , (4) (5). i = 1 3 .

. 6

     . 6 , , 5 (`183), 533, 555. . 6, :

(22)
(23)

     . , , . .

. 7

     . 7 6 (` 283), : 533, 555, 555, 1531. 3, .

. 8

     . 8 / 7 (`385), 533, 555, ( 01) () . / , . . . S/A (Subtractor/Adder). S/A = 1, " ", S/A = 0, " ".

     " " " (-)". " 1" . 0- R , 1 ( ), 0 ( ). C .

     :

(24)
(25)

     (24):

(26)

     :

(27)
(28)

     m2 S/A. , 1.

7

S =
R S/A a b C = =
0 0
1
0 0 0
1 1
1 0 0 0   0 0 0
0 0 1 0 1
0 1 0 0 1
0 1 1 1 0
1 0 0 0 1
1 0 1 1 0
1 1 0 1 0
1 1 1 1 1
1 1 0 0   0 0 1
0 0 1 1 0
0 1 0 0 0
0 1 1 0 1
1 0 0 1 0
1 0 1 1 1
1 1 0 0 1
1 1 1 1 0

     7 . 9. , . - 5339 (`384).

. 9

     1761, 5611, 5641 (CD 4008A, B). . 10 , . , P3 ( (15)).

. 10

     , , . , 180 100, 500 (MC 10180, MC 10180P) /, : " ", " ", " ", "0 ".

     , . (1 , 0 ). ? , , ( !)

     . : = 10 = 1010, = 11 = = 1011, : = 5 = 0101, = 4 = 0100. ( ) :

    A   1010    A   1010
   +   +       -   +
    B   1011    B   0100
    P    0           1
        ----        ----
       10101       01111

     :

     , .

     :

     . 11 4- , " " ( , ). , "S: = S ".

. 11

     , , " ", :

(29)

     n , .

     " " , , ( , ). . 12.

. 12

     , , . - (), , . ( " 2"), . : - , , , , , , , .

     , [210].

  1. .. // Chip News. 2000. #2. .37-40.
  2. .., .., .. : . : . 1976. 480 .
  3. .., .., .. . .: . 1983. 272 .
  4. : / .. , .. , .. .; . .. , .. . .: . 1986. 384 .
  5. .. .: . . .: . 1987. 320 .
  6. .. : . .: . 1987. 352 .
  7. .. . .: . 1988. 320 .
  8. The TTL Data Book. Volume 1, Texas Instruments, 1989.
  9. : / .. , .. , .. . : . 1994. 240 .
  10. .., .. : . .: . 1996. 885 .

.: 532 9955
: 532 0161




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