关于二进制的计算问题。 二进制计算的问题
\u5173\u4e8e\u4e8c\u8fdb\u5236\u8fd0\u7b97\u6ea2\u51fa\u7684\u95ee\u9898\u4f60\u8bf4\u7684\u8fd9\u4e2a\u68c0\u9a8c\u65b9\u6cd5\u6211\u4e5f\u6709\u5370\u8c61\uff0c\u4f46\u662f\u524d\u63d0\u662f\u76f8\u52a0\u7684\u6570\u662f\u8865\u7801\uff0c\u51c6\u786e\u7684\u8bf4\u662f\u6709\u7b26\u53f7\u6570\u7684\u8865\u7801\uff0c\u8fd9\u65f6\u50191100\u4ee3\u8868\u7684\u4e0d\u662f12\uff0c\u800c\u662f-4\uff0c\u90a3\u4e48\u8fd9\u4e2a\u5f0f\u5b50\u5c31\u662f-4+5=1\u5e76\u6ca1\u6709\u6ea2\u51fa\uff0c\u800c\u4e14\u8fd0\u7b97\u6b63\u786e\u3002\u6240\u4ee5\u4f30\u8ba1\u90a3\u4e2a\u65b9\u6cd5\u53ea\u9002\u7528\u4e8e\u201c\u6709\u7b26\u53f7\u6570\u7684\u52a0\u6cd5\u201d\u3002
\u5176\u5b9e\uff0c\u56e0\u4e3a\u6709\u7b26\u53f7\u6570\u7684\u8865\u7801\u8868\u793a\u548c\u901a\u5e38\u7684\u4e8c\u8fdb\u5236\u4e0d\u540c\uff0c\u6240\u4ee5\u4ed6\u7684\u6ea2\u51fa\u5224\u65ad\u624d\u663e\u5f97\u4e0d\u76f4\u89c2\u3002\u800c\u65e0\u7b26\u53f7\u6570\u548c\u6570\u5b66\u4e0a\u7684\u4e8c\u8fdb\u5236\u52a0\u6cd5\u5b8c\u5168\u4e00\u6837\uff0c\u6240\u4ee5\u4ed6\u7684\u6ea2\u51fa\u53cd\u800c\u66f4\u7b80\u5355\uff0c\u53ea\u8981\u5224\u65ad\u6700\u9ad8\u4f4d\u7684\u8fdb\u4f4d\u662f\u4e0d\u662f1\u5c31\u53ef\u4ee5\u4e86\u5427\uff5e
\u5c31\u5f53\u4f60\u7528\u7684\u662fC\u8bed\u8a00\u5427\uff1a
\u8fd94\u4e2a\u60c5\u51b5\u5206\u522b\u5bf9\u5e94\u7684\u5341\u8fdb\u5236\u662f 0\uff0c1\uff0c2\uff0c3
\u76f4\u63a5\u5bf9\u5b57\u8282\u8fdb\u884c\u8d4b\u503c\u5c31\u597d\u4e86\uff0c \u4e0d\u77e5\u9053\u4f60\u8bf4\u7684\u76f4\u63a5\u53d8\u66f4\u662f\u4ec0\u4e48\u610f\u601d\uff1f
一个二进制数乘以2^4相当于小数点右移4位，所以-0.1001101b*2^4=-1001.101b。
绛旓細瀵逛簬浜岃繘鍒惰岃█锛灏忔暟鐐规瘡鍙崇Щ涓浣嶏紝鐩稿綋浜庝箻浠2锛堣繖绫讳技浜庡崄杩涘埗鏁扮殑灏忔暟鐐癸紝姣忓彸绉讳竴浣嶇浉褰撲簬涔樹互10涓鏍凤級銆備竴涓簩杩涘埗鏁颁箻浠2^4鐩稿綋浜庡皬鏁扮偣鍙崇Щ4浣嶏紝鎵浠-0.1001101b*2^4=-1001.101b銆
绛旓細浜岃繘鍒剁殑璁＄畻鏁版嵁鏄敤0鍜1涓や釜鏁扮爜鏉ヨ〃绀虹殑鏁銆傚熀鏁颁负2锛岃繘浣嶈鍒欐槸鈥滈簩杩涗竴鈥濓紝鍊熶綅瑙勫垯鏄滃熶竴褰撲簩鈥濄傝绠楁満涓殑浜岃繘鍒舵槸涓涓潪甯稿井灏忕殑寮鍏筹紝鐢ㄢ滃紑鈥濇潵琛ㄧず1锛屸滃叧鈥濇潵琛ㄧず0銆備簩杩涘埗鐨勮绠楀垎涓轰簲绉嶏細1銆佸姞娉曟湁鍥涚鎯呭喌锛 0+0=0锛0+1=1锛1+0=1锛1+1=10锛0杩涗綅涓1銆2銆佷箻娉曟湁...
绛旓細1 浜岃繘鍒朵笌鍗佽繘鍒剁殑杞崲 锛1011.01锛2 锛濓紙1脳23锛0脳22锛1脳21锛1脳20锛0脳2锛1锛1脳2锛2锛10 锛濓紙8锛0锛2锛1锛0锛0.25锛10 锛濓紙11.25锛10闂浜旓細2鐨勪簩杩涘埗鎬庝箞绠锛 涓ょ鏂规硶锛1銆佺涓姝ワ細闄や簩鍙栦綑锛2/2=1...0,1/2=0...1,鎵浠ュ緱鍒01锛涚浜屾锛氬掑簭鎺掑垪锛屽緱鍒10锛...
绛旓細浜岃繘鍒剁殑涔樻硶锛0 * 0 = 0 0 * 1 = 0锛1 * 0 = 0锛1 * 1 = 1 浜岃繘鍒剁殑闄ゆ硶锛0梅0 = 0锛0梅1 = 0锛1梅0 = 0 (鏃犳剰涔)锛1梅1 = 1 閫昏緫杩愮畻浜岃繘鍒剁殑鎴栬繍绠楋細閬1寰1 浜岃繘鍒剁殑涓庤繍绠楋細閬0寰0 浜岃繘鍒剁殑闈炶繍绠楋細鍚勪綅鍙栧弽銆
绛旓細浜岃繘鍒跺氨鏄瓑浜2鏃跺氨瑕佽繘浣銆0=00000000 1=00000001 2=00000010 3=00000011 4=00000100 5=00000101 6=00000110 7=00000111 8=00001000 9=00001001 10=00001010 鈥︹﹀嵆鏄簩杩涗竴锛屼簩杩涘埗骞挎硾鐢ㄤ簬鏈鍩虹鐨勮繍绠...>> 闂鍥涳細浜岃繘鍒剁殑11111100濡備綍鎹㈢畻涓哄崄杩涘埗鏁帮紝杩愮畻杩囩▼鏄庢牱鐨勶紵 浣犳庝箞涓嶄細鎯...
绛旓細0 --- 0 1 --- 1 2 --- 10 浣庝綅婊2锛屽悜楂樹綅杩1锛屼綆浣嶅綊0鍚庨潰涔熸槸涓娆＄被鎺ㄣ3 --- 11 4 --- 100 闇瑕佹敞鎰忕殑鏄紝瀵逛簬100杩欎釜鏁板瓧鏉ヨ锛屽鏋滀笉鐗瑰埆璇存槑锛屾垜浠偗瀹氳涓鸿繖鏄10杩涘埗锛屼篃灏辨槸涓鐧惧鏋滅壒鍒敞鏄庤繖涓暟鏄2杩涘埗锛屽垯杩欎釜鏁颁唬琛ㄧ殑灏辨槸4銆傚浜1+1+1+1鏉ヨ锛岀畝鍗曟潵鐪嬶紙2杩涘埗锛夊氨...
绛旓細浜岃繘鍒舵槸璁＄畻鎶鏈腑骞挎硾閲囩敤鐨勪竴绉嶆暟鍒.浜岃繘鍒舵暟鎹槸鐢0鍜1涓や釜鏁扮爜鏉ヨ〃绀虹殑鏁.瀹冪殑鍩烘暟涓2,杩涗綅瑙勫垯鏄滈簩杩涗竴鈥,鍊熶綅瑙勫垯鏄滃熶竴褰撲簩鍔犳硶 鏈夊洓绉嶆儏鍐:0+0=00+1=11+0=11+1=00杩涗綅涓1銆愪緥1103銆戞眰 1011(2)+11(2) 鐨勫拰1011+111011+11[1]涔樻硶鏈夊洓绉嶆儏鍐:0脳0=01脳0=00脳1=01脳...
绛旓細浜岃繘鍒剁殑鍑忔硶锛0-0=0锛0-1=1(鍚戦珮浣嶅熶綅) 1-0=1锛1-1=0 (妯′簩鍔犺繍绠楁垨寮傛垨杩愮畻) 锛涗簩杩涘埗鐨勪箻娉曪細0 * 0 = 0銆0 * 1 = 0锛1 * 0 = 0锛1 * 1 = 1 浜岃繘鍒剁殑闄ゆ硶锛0梅0 = 0锛0梅1 = 0锛1梅0 = 0 (鏃犳剰涔)锛1梅1 = 1 锛涢昏緫杩愮畻浜岃繘鍒剁殑鎴栬繍绠楋細閬1寰1 浜...
绛旓細渚嬪锛浜岃繘鍒鏁1101.01杞寲鎴愬崄杩涘埗 1101.01锛2锛=1*20+0*21+1*22+1*23 +0*2-1+1*2-2=1+0+4+8+0+0.25=13.25 鎵浠ユ荤粨璧锋潵閫氱敤鍏紡涓猴細abcd.efg(2)=d*20+c*21+b*22+a*23+e*2-1+f*2-2+g*2-3 鎴栬呯敤涓嬮潰杩欑鏂规硶锛氭妸浜岃繘鍒舵暟棣栧厛鍐欐垚鍔犳潈绯绘暟灞曞紑寮忥紝鐒跺悗鎸夊崄杩涘埗...
绛旓細浜岃繘鍒舵槸璁＄畻鎶鏈腑骞挎硾閲囩敤鐨勪竴绉嶆暟鍒躲浜岃繘鍒舵暟鎹槸鐢0鍜1涓や釜鏁扮爜鏉ヨ〃绀虹殑鏁銆傚畠鐨勫熀鏁颁负2锛岃繘浣嶈鍒欐槸鈥滈簩杩涗竴鈥濓紝鍊熶綅瑙勫垯鏄滃熶竴褰撲簩鈥濄備簩杩涘埗鏁版嵁涔熸槸閲囩敤浣嶇疆璁℃暟娉曪紝鍏朵綅鏉冩槸浠2涓哄簳鐨勫箓銆備簩杩涘埗鏁版嵁鐨勭畻鏈繍绠楃殑鍩烘湰瑙勫緥鍜屽崄杩涘埗鏁扮殑杩愮畻鍗佸垎鐩镐技銆傛渶甯哥敤鐨勬槸鍔犳硶杩愮畻鍜屼箻娉曡繍绠椼1....
