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1 (2013, c ) ishiura/lc/ 1 2, 8, (2 ) 11 2, 8, (decimal) = (a n 1 a n 2 a 1 a 0 ) 10 = 8 (octal) n 1 i=0 a i 10 i = = n 1 (a n 1 a n 2 a 1 a 0 ) 8 = 2 (binary) i=0 a i 8 i = = n 1 (a n 1 a n 2 a 1 a 0 ) 2 = i=0 a i 2 i 2 1 ( bit ) 16 ( hexadecimal ) 0,1,2,3,4,5,6,7,8,9, A, B, C, D, E, F,10,11,12,13, AE86 16 = = (a n 1 a n 2 a 1 a 0 ) 16 = r n 1 i=0 n 1 (a n 1 a n 2 a 1 a 0 ) r = a i 16 i i=0 a i r i r ( radix ) 1 1

2 11 n ( ) 2 x n 0 x 4 0 x 8 0 x 16 0 x 32 0 x { n }} { ( 2 n 1 ) ( ) ( ) (65, ) (4,294,967, ) D F F

3 12 2, 8, = 2 3, = = = = = 2 4, A6D 16 = = = = 3B4F / / C D A E B F ,, (0 1 ) ) KGU B B BE A3F 1 3

4 [ 1] = = = 53 [ 2] , 2 0, 2, = 6 10, , 6 2 = 12, , , = = = = = 13, , 1 2 = = = = = = = = = = = 53, 2,,, 2 10,, (a 5 a 4 a 3 a 2 a 1 a 0 ) 2 = a a a a a a 0 = (((((a 5 ) 2 + a 4 ) 2 + a 3 ) 2 + a 2 ) 2 + a 1 ) 2 + a 0 (Horner s rule) 1 4

5 [ 1] n n = = = = = [ 2] ( ) , 0, = = 3 10, 2 1, 1, 2 ( ) 7 10 = = 3 10, 2, 2 53/2 = =?????1 2????? /2 = =????01 2???? /2 = =???101 2??? 6 2 6/2 = =??0101 2?? 3 2 3/2 = =? ? 1 2 1/2 = = , a 0,a 1,,a 6 (a 5 a 4 a 3 a 2 a 1 a 0 ) 2 = a a a a a a 0 = (((((a 5 ) 2 + a 4 ) 2 + a 3 ) 2 + a 2 ) 2 + a 1 ) 2 + a 0 1 5

6 (, ) (0) (1) (0) (carry) (11 10 ) +) (2 10 ) (13 10 ) (1) (1) (0) (borrow) (9 10 ) ) (2 10 ) (7 10 ) (9 10 ) ) (11 10 ) ) (99 10 ) 1 1 ( 3 10 ) ( 3 10 ) 1 1 ) ( ) ( 2 10 ) 1 6

7 n 2 02 n 1 ( ), ( one s complement ) x 1, x (0 1, 1 0 ) ) ( two s complement ) x 2, x 1 1 ) (1) / ( sign magnitude ) n, n 1, 0, 1 ) (2) 1 (one s complement) x 1 ) (3) 2 (two s complement) x 2 )

8 15 x 4 (n = 4) / , 8 2 (1000) 2 ( 0, 1 ) , , ,, n x 2, 2 n x 2 ( x), = = n x 1, 2 n 1 x 2 ( x) 2 1 1, n n 1 8

9 / (5 2 ) (1) ( ) (2) ( ) (3) ( 4 ), = ( ) (5 2 ) (1) (2) x 2 2 x ) x = , , , ( ) 2 ) = 1 ( 16) = ,

10 , n x n n n ( 2 n 1 n ) x ( 8 10 ) x ( ) x ( ) x ( 32, ) x ( 2 n 1 1 ) ( 7 10 ) ( ) ( ) (32, ) ( 2,147,483, ) x (2,147,483, ) 2,, 2 (, ) = = 0001 = 1 (5 ) = = 1100 = 4, 10, = = = = 9996 = = 5 + ( 3) = = 0010, 2,,

11 D F F B BE A3F = = x 4 (n = 4) /

12 16 (1) , (2) , , 2 10 Nagisa ISHIURA 1 12

225 225 232528 152810 225 232513 -1- -2- -3- -4- -5- -6- -7- -8- -9- -10- -11- -12- -13- -14- -15- -16- -17- -18- -19- -20- -21- -22- -23- -24- -25- -26- -27- -28- -29- -30- -31- -32- -33- -34- -35- -36-

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