二进位也可以很有趣

1、二進位也可以很有趣32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,48, 49, 50, 51, 52, 53, 54, 55,56, 57, 58, 59, 60, 61, 62, 631二進位也可以很有趣16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,48, 49, 50, 51, 52, 53, 54, 55,56, 57, 58, 59, 60, 61, 62, 632二進位也可以很有趣 8, 9, 10, 11, 12, 13,

2、14, 15, 24, 25, 26, 27, 28, 29, 30, 31,40, 41, 42, 43, 44, 45, 46, 47,56, 57, 58, 59, 60, 61, 62, 633二進位也可以很有趣 4, 5, 6, 7, 12, 13, 14, 15,20, 21, 22, 23, 28, 29, 30, 31,36, 37, 38, 39, 44, 45, 46, 47,52, 53, 54, 55, 60, 61, 62, 634二進位也可以很有趣 2, 3, 6, 7, 10, 11, 14, 15,18, 19, 22, 23, 26, 27, 30, 31,3

3、4, 35, 38, 39, 42, 43, 46, 47,50, 51, 54, 55, 58, 59, 62, 635二進位也可以很有趣 1, 3, 5, 7, 9, 11, 13, 15,17, 19, 21, 23, 25, 27, 29, 31,33, 35, 37, 39, 41, 43, 45, 47,49, 51, 53, 55, 57, 59, 61, 636二進位也可以很有趣(原理) 1, 3, 5, 7, 0 0 0 0 0 1 = 1 9, 11, 13, 15, 0 0 0 0 1 0 = 217, 19, 21, 23, 0 0 0 0 1 1 = 3 25, 27

4、, 29, 31, 0 0 0 1 0 0 = 433, 35, 37, 39, 0 0 0 1 0 1 = 5 41, 43, 45, 47, 0 0 0 1 1 0 = 649, 51, 53, 55, 0 0 0 1 1 1 = 7 57, 59, 61, 63 0 0 1 0 0 0 = 87二進位也可以很有趣(原理) 2, 3, 6, 7, 0 0 0 0 0 1 = 1 10, 11, 14, 15, 0 0 0 0 1 0 = 218, 19, 22, 23, 0 0 0 0 1 1 = 3 26, 27, 30, 31, 0 0 0 1 0 0 = 434, 35, 38, 3

5、9, 0 0 0 1 0 1 = 5 42, 43, 46, 47, 0 0 0 1 1 0 = 650, 51, 54, 55, 0 0 0 1 1 1 = 7 58, 59, 62, 63 0 0 1 0 0 0 = 88二進位也可以很有趣(原理) 4, 5, 6, 7, 0 0 0 0 0 1 = 1 12, 13, 14, 15, 0 0 0 0 1 0 = 220, 21, 22, 23, 0 0 0 0 1 1 = 3 28, 29, 30, 31, 0 0 0 1 0 0 = 436, 37, 38, 39, 0 0 0 1 0 1 = 5 44, 45, 46, 47, 0 0

6、 0 1 1 0 = 652, 53, 54, 55, 0 0 0 1 1 1 = 7 60, 61, 62, 63 0 0 1 0 0 0 = 89二進位也可以很有趣(原理) 8, 9, 10, 11, 0 0 0 1 1 1 = 7 12, 13, 14, 15, 0 0 1 0 0 0 = 824, 25, 26, 27, 0 0 1 0 0 1 = 928, 29, 30, 31, 0 0 1 0 1 0 = 1040, 41, 42, 43, 0 0 1 0 1 1 = 11 44, 45, 46, 47, 0 0 1 1 0 0 = 1256, 57, 58, 59, 0 0 1

7、1 0 1 = 13 60, 61, 62, 63 0 0 1 1 1 0 = 1410二進位也可以很有趣(原理)16, 17, 18, 19, 0 1 0 0 0 0 = 1620, 21, 22, 23, 0 1 0 0 0 1 = 1724, 25, 26, 27, 0 1 0 0 1 0 = 1828, 29, 30, 31, 0 1 0 0 1 1 = 1948, 49, 50, 51, 0 1 0 1 0 0 = 2052, 53, 54, 55, 0 1 0 1 0 1 = 2156, 57, 58, 59, 0 1 0 1 1 0 = 2260, 61, 62, 63 0 1

8、0 1 1 1 = 2311二進位也可以很有趣(原理)32, 33, 34, 35, 1 0 0 0 0 0 = 3236, 37, 38, 39, 1 0 0 0 0 1 = 3340, 41, 42, 43, 1 0 0 0 1 0 = 3444, 45, 46, 47, 1 0 0 0 1 1 = 3548, 49, 50, 51, 1 0 0 1 0 0 = 3652, 53, 54, 55, 1 0 0 1 0 1 = 3756, 57, 58, 59, 1 0 0 1 1 0 = 3860, 61, 62, 63 1 0 0 1 1 1 = 3912卡片玩法與原理 請玩者心裡想一個

9、0到63的整數不要告訴你(廢話), 然後你依第六張、 第五張、第四張 . 第一張拿給他, 請他告訴你上面有沒有他想的數, 為了表示你是過目不忘, 交給他之前假裝看一看, 交給他後不要立刻 拿回來, 只請他分別放不同手中作為證據。 答案: 如果六張都沒有就是 0。 在每張給他之前看清楚第一個數, 只要他說有就加到答案中, 等到 最後一張給他, 等他說出有沒有後, 答案也出來了。 原理: 其實每張紙都是代表一個二進位數 (binary number)。 有就是 1, 沒有就是 0。 與上一遊戲一樣, 他已經把答案告訴你了 ! 因每張紙上第一位數就是該位的比重(weight, 加權)。13二進位也可

10、以很有趣 /* 寫程式印出前述之六張卡片 */ for( int i=0; i = 5; i+) printf(二進位也可以很有趣nn ); /* 印出第 i 張卡片 */ printf(nnn); 14二進位也可以很有趣 for( int i=0; i = 5; i+) printf(二進位也可以很有趣nn ); for(k=0; k = 63; k+) if( k & (2的 i 次方) != 0) printf(%2d, , k); if(必要時) printf(n); printf(nnn); 15int yy = 1, 2, 4, 8, 16, 32; for( int i=0; i

11、 = 5; i+) printf(二進位也可以很有趣nn ); for(k=0; k = 63; k+) if( k & yyi != 0) printf(%2d, , k); if(必要時) printf(n); printf(nnn); 用一個陣列記住 2的 i 次方16if(必要時) printf(n); int np = 0; /* numbers printed */ for(k=0; k = 63; k+) if( k & yyi != 0) printf(%2d, , k); np+; / number printed if( np%8 = 0) printf(n); 17if(

12、必要時) printf(n); int np = 0; for(k=0; k = 63; k+) if( k & yyi != 0) printf(%2d, , k); / np+; / number printed if( (+np)%8 = 0) printf(n); / 每印完八個數就換列 (new line) 18二進位也可以很有趣完整程式 /* 寫程式印出前述之六張卡片 */#includeint yy = 1, 2, 4, 8, 16, 32;int k, np;main( ) for( int i=0; i = 5; i+) printf(二進位也可以很有趣nn ); np=0;

13、 /* 印出第 i 張卡片 */ printf(nnn); 19問題與思考 * 為什麼要依第六張(32開頭那張)、 第五張、 第四張 . 第一張拿給玩者? * 如果不用一個table (array) 來記住2的i 次方, 那要怎麼做? 用乘的 有何缺點? * 每張卡片最後一列也印了逗點, 如何改進? (hint: 加一列 if )20問題與思考 (ASCII code )#includemain( ) printf( %c 的 ASCII code是%dn, 0, 0); printf( %c 的 ASCII code是%dn, A, A); printf( %c 的 ASCII code是%

14、dn, a, a); 如果系統使用EBCDIC碼呢?21問題與思考 (ASCII code )#includemain( ) int i, k=0; for(i=65; i=122; +i) printf( %c 的 ASCII code, i); printf( 是%d, i); +k; printf(k%3=0? n : t); printf(n ); 22問題與思考 (中文碼?)#includeunsigned char x9 = 0 ;main( ) int m = 0 xa4, n=0 x6a; x0 = m; x1=n; x2 = 0 xae, x3=97; x4 = 0 xa6,

15、 x5=0 x6e; printf(=%s=n, x); 2324實數與準確度(precision)#includefloat x, xdelta; int i; /*precision.c */main( ) double y; x = 1234567.2, xdelta = 0.0001; printf(Before loop, x=%fn, x); for(i=1; i gcc precision.cccbsd2:precision/ ./a.outBefore loop, x=1234567.250000first y = 1234567.250100After loop, x=123

16、4567.250000ccbsd2:precision/ float 實數佔用 32 bits26double 實數準確度#includedouble x, xdelta; int i; /*precdbl.c */main( ) double y; x = 1234567.2, xdelta = 0.0001; printf(Before loop, x=%fn, x); for(i=1; i gcc precdbl.cccbsd2:precision/ ./a.outBefore loop, x=1234567.200000first y = 1234567.200100After loo

17、p, x=1234568.000001ccbsd2:precision/ double 實數佔用 64 bits28kShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G5D1A-w*t$qYnVkSgPdLaI7F3C0z)v&s#pXmUiRfOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$r

18、ZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5D2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlThQeNbJ8G5D1A-w*t$qYnVkSgPdMaI7F7F3C0z)v&s#pXmUiRfO

19、cK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)

20、w&s!pYmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$qZnWkSh

21、PeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRfOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0z)v&s#pXmUiRfOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5H5E

22、2A+x(u$rZnWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlThQeNbJ8G5D1A-w*t$qYnVkSgPdLaI7F3C0z)v&s#pX

23、mUiRfOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7

24、F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-A-w*t!qYnVjSgPdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u

25、$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfN

26、cK8H5E2A+x(u$r$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVkSgPdLaI7F3C0

27、z)v&s#pXmUiRfOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D2A-x*t$qZnVk

28、ShPdMaI7F4F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlThQeNbJ8G5D1A-w*t$qYnVkSgPdLaI7F3C0z)v&s#pXmUiRfOcK9H5E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H

29、5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMeMbJ8G4D1A-w*t!qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0