当前位置:首页 » 基础信息 » 为什么二进制加法是算术运算基础
扩展阅读
如何搬后腿零基础 2024-05-20 05:08:41
老同学来访该怎么接待 2024-05-20 04:54:01

为什么二进制加法是算术运算基础

发布时间: 2024-05-08 05:53:49

1. 浜岃繘鍒剁殑杩愮畻瑙勫垯镄勭浉鍏抽梾棰

浜岃繘鍒舵暟镄勭畻链杩愮畻鍖呮嫭锷犳硶銆佸噺娉曘佷箻娉曞拰闄ゆ硶銆傚熀链杩愮畻鏄锷犳硶鍜屽噺娉曡繍绠椼

1. 浜岃繘鍒舵暟镄勫姞娉曡繍绠

锷犳硶杩愮畻鎸変笅鍒椾笁𨱒℃硶鍒栾繘琛岋细

(1)0 + 0 = 0 (2)0 + 1 = 1 + 0 = 1 (3)1 + l = 10 (阃浜岃繘涓锛屽悜楂树綅杩涗綅 )

渚 (1010)2 + (1011)2 镄勭畻寮忓备笅锛

琚锷犳暟 1010

锷犳暟 1011

+) 杩涗綅 1010

鍜屾暟 10101

鐢变笂杩版墽琛屽姞娉旷殑杩囩▼鍙浠ョ湅鍑猴纴涓や釜浜岃繘鍒舵暟鐩稿姞镞躲傛疮涓浣嶆渶澶氭湁涓変釜鏁扮浉锷狅纴鍗虫湰浣嶈锷犳暟銆佸姞鏁板拰浠庝绠浣嶆潵镄勮繘浣 ( 杩涗綅鍙鑳芥槸 0 锛屼篃鍙鑳芥槸 1) 銆傛寜锷犳硶杩愮畻娉曞垯鍙寰楀埌链浣嶅姞娉旷殑鍜屽强钖戦珮浣岖殑杩涗綅銆

2. 浜岃繘鍒舵暟镄勫噺娉曡繍绠

鍑忔硶杩愮畻鎸変笅鍒椾笁𨱒℃硶鍒栾繘琛岋纴

(1)0-0 = l-1 = 0 (2)1-0 = l (3)0-1 = 1( 姝ゆ椂瑕佸悜楂树綅鍊熶綅锛屽 l 褰 2)

渚 (11100101) 2 - (10011010) 2 镄勭畻寮忓备笅锛

琚鍑忔暟 11100101

鍑忔暟 10011010

-) 鍊熶綅 0011010

宸鏁 01001011

鐢变笂杩版墽琛屽噺娉曡繍绠楄繃绋嫔彲鐭ワ纴涓や釜浜岃繘鍒舵暟鐩稿噺镞讹纴姣忎綅链澶氭湁涓変釜鏁帮细链浣嶈鍑忔暟銆佸噺鏁板拰钖戦珮浣岖殑鍊熶綅 , 鍊 1 褰 2 銆傛墍浠ュ仛鍑忔硶杩愮畻镞讹纴闄や简姣忎綅鐩稿噺澶栵纴杩樿佽冭槛鍊熶綅𨱍呭喌銆

3. 浜岃繘鍒舵暟镄勪箻娉曡繍绠

浜岃繘鍒舵暟镄勪箻娉曡繍绠楁湁涓嫔垪涓夋浔娉曞垯锛

(1)0 脳 0 = 0 (2)0 脳 l = 1 脳 0 = 0 (3)1 脳 1 = 1

渚 (1011) 2 脳 (1101) 2 镄勭畻寮忓备笅锛

琚涔樻暟 1011

脳 ) 涔樻暟 1101

1011

0000

閮ㄥ垎绉 1011

1011

涔樼Н 10001111

鐢变笂杩颁箻娉曡繍绠楄繃绋嫔彲鐭ワ纴姣忎釜閮ㄥ垎绉閮藉彇鍐充簬涔樻暟鐩稿簲浣嶆槸0杩樻槸1銆傝嫢涔樻暟镄勭浉搴斾綅涓0锛屽垯姝ゆ¢儴鍒嗙Н涓0锛涜嫢涔樻暟镄勭浉搴斾綅涓1锛屽垯姝ゆ¢儴鍒嗙Н灏辨槸琚涔樻暟銆傞儴鍒嗙Н镄勬暟鐩涓庝箻鏁扮殑浣嶆暟鐩稿悓锛屾疮娆$殑閮ㄥ垎绉渚濇″乏绉讳竴浣嶃傚皢钖勯儴鍒嗙Н绱锷犺捣𨱒ワ纴灏卞缑鍒版渶缁堢殑涔樼Н銆傝$畻链轰腑瀹炵幇浜岃繘鍒舵暟镄勪箻娉曡繍绠楋纴阃氩父閲囩敤镄勬槸绉讳綅鐩稿姞镄勬柟娉曘

4. 浜岃繘鍒舵暟镄勯櫎娉曡繍绠

浜岃繘鍒舵暟镄勯櫎娉曡繍绠楁寜涓嫔垪涓夋浔娉曞垯杩涜岋细

(1) 0 梅 0 = 0銆 (2) 0 梅 1 = 0 (1 梅 0 鏄镞犳剰涔夌殑 ) (3) 1 梅 1 = 1

渚 (111011) 2 梅 (1011) 2 镄勭畻寮忓备笅锛

101 鍟嗘暟

闄ゆ暟 1011)111011 琚闄ゆ暟

1011

1111

1011

100 浣欐暟

鍗 (111011)2 梅 (1011)2锛屽叾鍟嗕负 (101)2锛屼綑鏁颁负(100)2 銆

鍦ㄨ$畻链轰腑瀹炵幇浜岃繘鍒舵暟镄勯櫎娉曡繍绠楋纴阃氩父閲囩敤绉讳綅鐩稿噺镄勬柟娉曘

浜岃繘鍒跺皬鏁扮殑锷犳硶锛
(5.5)10 = (101.1)2 锛埚崄杩涘埗灏忔暟杞鎹涓轰簩杩涘埗镄勬柟娉曪级
(5.5 + 5.5)10 = (101.1 + 101.1)2 = (1011.0)2 = (11)10
浜岃繘鍒跺皬鏁扮殑鍑忔硶锛
(5.5)10 = (101.1)2
(5.5 - 5)10 = (101.1 - 101)2 = (0.1)2 = (0.5)10
浜岃繘鍒跺皬鏁扮殑涔樻硶锛
(5.5)10 = (101.1)2
(5.5 * 2)10 = (101.1 * 10)2 = (1011.0)2 锛堟寜鍗佽繘鍒剁殑涔樻硶杩愮畻鍗冲彲锛= (11)10
浜岃繘鍒跺皬鏁扮殑闄ゆ硶锛
(5.5)10 = (101.1)2
(11)10 = (1011)2
(11 / 2)10 = (1011 / 10)2 = (101.1)2 锛堟寜鍗佽繘鍒剁殑闄ゆ硶杩愮畻鍗冲彲锛= (5.5)10

2. 鐢佃剳涓轰粈涔堥噰鐢ㄤ簩杩涘埗杩愮畻

铡熷洜濡备笅锛

1.鎶链涓婂规槗瀹炵幇

鐢ㄥ弻绋虫佺数璺琛ㄧず浜岃繘鍒舵暟瀛0鍜1鏄寰埚规槗镄勪簨𨱍呫

2.鍙闱犳ч珮

浜岃繘鍒朵腑鍙浣跨敤0鍜1涓や釜鏁板瓧锛屼紶杈揿拰澶勭悊镞朵笉鏄揿嚭阌欙纴锲犺屽彲浠ヤ缭闅滆$畻链哄叿链夊緢楂樼殑鍙闱犳с

3.杩愮畻瑙勫垯绠鍗

涓庡崄杩涘埗鏁扮浉姣旓纴浜岃繘鍒舵暟镄勮繍绠楄勫垯瑕佺亩鍗曞缑澶氾纴杩欎笉浠呭彲浠ヤ娇杩愮畻鍣ㄧ殑缁撴瀯寰楀埌绠鍖栵纴钥屼笖链夊埄浜庢彁楂樿繍绠楅熷害銆

4.涓庨昏緫閲忕浉钖诲悎

浜岃繘鍒舵暟0鍜1姝eソ涓庨昏緫閲忊灭湡钬濆拰钬滃亣钬濈浉瀵瑰簲锛屽洜姝ょ敤浜岃繘鍒舵暟琛ㄧず浜屽奸昏緫鏄惧缑鍗佸垎镊铹躲

5.浜岃繘鍒舵暟涓庡崄杩涘埗鏁颁箣闂寸殑杞鎹㈢浉褰揿规槗

浜轰滑浣跨敤璁$畻链烘椂鍙浠ヤ粛铹朵娇鐢ㄨ嚜宸辨墍涔犳傥镄勫崄杩涘埗鏁帮纴钥岃$畻链哄皢鍏惰嚜锷ㄨ浆鎹㈡垚浜岃繘鍒舵暟瀛桦偍鍜屽勭悊锛岃緭鍑哄勭悊缁撴灉镞跺张灏嗕簩杩涘埗鏁拌嚜锷ㄨ浆鎹㈡垚鍗佽繘鍒舵暟锛岃繖缁椤伐浣滃甫𨱒ユ瀬澶х殑鏂逛究銆

镓╁𪾢璧勬枡

浜岃繘鍒惰繍绠楃殑浼樼偣

1.鎶链瀹炵幇绠鍗曪纴璁$畻链烘槸鐢遍昏緫鐢佃矾缁勬垚锛岄昏緫鐢佃矾阃氩父鍙链変袱涓鐘舵侊纴寮鍏崇殑鎺ラ氢笌鏂寮锛岃繖涓ょ岖姸镐佹eソ鍙浠ョ敤钬1钬濆拰钬0钬濊〃绀恒

2.绠鍖栬繍绠楄勫垯锛氢袱涓浜岃繘鍒舵暟鍜屻佺Н杩愮畻缁勫悎钖勬湁涓夌嶏纴杩愮畻瑙勫垯绠鍗曪纴链夊埄浜庣亩鍖栬$畻链哄唴閮ㄧ粨鏋勶纴鎻愰珮杩愮畻阃熷害銆

3.阃傚悎阃昏緫杩愮畻锛氶昏緫浠f暟鏄阃昏緫杩愮畻镄勭悊璁轰緷鎹锛屼簩杩涘埗鍙链変袱涓鏁扮爜锛屾eソ涓庨昏緫浠f暟涓镄勨灭湡钬濆拰钬滃亣钬濈浉钖诲悎銆

4.鏄扑簬杩涜岃浆鎹锛屼簩杩涘埗涓庡崄杩涘埗鏁版槗浜庝簰鐩歌浆鎹銆

5.鐢ㄤ簩杩涘埗琛ㄧず鏁版嵁鍏锋湁鎶楀共镓拌兘锷涘己锛屽彲闱犳ч珮绛変紭镣广傚洜涓烘疮浣嶆暟鎹鍙链夐珮浣庝袱涓鐘舵侊纴褰揿弹鍒颁竴瀹氱▼搴︾殑骞叉𡒄镞讹纴浠嶈兘鍙闱犲湴鍒呜鲸鍑哄畠鏄楂樿缮鏄浣庛

鍙傝冭祫鏂欙细锏惧害锏剧戯细浜岃繘鍒

3. 涓轰粈涔堣2鏄浜岃繘鍒剁畻链锘虹锛

浜岃繘鍒剁畻链锛屽叾瀹炲拰鍗佽繘鍒舵槸绫讳技镄勚
浜岃繘鍒舵暟瀛楀彧链0鍜1銆
涓浣嶆暟锷犳硶鏄锛0+0=0锛1+0=1锛0+1=1锛
浣嗘槸 1+1=10锛屽氨鏄璇存湁链浣崭负0锛屽苟链夎繘浣嶃
濡傛灉阆囦笂杩涗綅锛屾渶澶氢细鍑虹幇杩欐牱镄勬儏鍐碉细1+1+1=11锛屽氨鏄璇存湁链浣崭负,1锛屽苟链夎繘浣嶃
姣忎竴浣嶉兘锅氲繖镙风殑杩愮畻锛屽姞娉曞氨鍙浠ラ愪綅瀹屾垚銆
浜岃繘鍒舵暟绠楁湳锷犺繍绠10101010+00101010鍏剁粨鏋沧槸锛
10101010
+00101010
钬斺斺斺斺斺斺斺
11010100
阃堿銆

4. 浜岃繘鍒剁殑锷犲噺娉

1銆佷簩杩涘埗镄勫姞娉曪细浜岃繘鍒跺姞娉曡繍绠楁硶鍒欙细锷犳硶绠楀纺鍜屽崄杩涘埗锷犳硶涓镙凤纴鎶婂彸杈圭涓浣嶅归绨锛屼緷娆$浉搴旀暟浣嶅归绨锛屽悇鏁颁綅婊′簩钖戜笂涓浣嶈繘涓銆备富瑕佹槸锲犱负浜岃繘鍒跺悇浣崭笂镄勬暟蹇呴’灏忎簬2浠ュ强澶т簬绛変簬2灏辫佽繘浣岖殑鐗圭偣銆

2銆佸噺娉曪细钖屾牱镄勶纴锲犱负浜岃繘鍒跺悇鏁颁綅涓婂叿链夊繀椤诲皬浜2銆佸ぇ浜庣瓑浜2灏辫佽繘浣崭互鍙娄笉澶熷噺闇瑕佸颎1钬濈殑鐗圭偣锛屼簬鏄灏卞彲浠ュ缑鍒颁簩杩涘埗镄勫噺娉曡繍绠楁硶鍒欙绂浜岃繘鍒跺姞鍑忔硶杩愮畻娉曞垯锛氩皢鍙宠竟绗涓浣嶅归绨锛屼緷娆$浉搴旀暟浣嶅归绨锛屼緷娆″仛鍑忔硶锛屽悓涓鏁颁綅涓嶅熷噺镞跺悜楂树綅钬滃熶竴钬濓纴钬滃熶竴褰扑簩钬濄

镓╁𪾢璧勬枡锛

浜岃繘浣嶈℃暟鍒朵粎鐢ㄤ袱涓鏁扮爜銆0鍜1锛屾墍浠ワ纴浠讳綍鍏锋湁浜屼釜涓嶅悓绋冲畾鐘舵佺殑鍏冧欢閮藉彲鐢ㄦ潵琛ㄧず鏁扮殑镆愪竴浣嶃傝屽湪瀹为檯涓婂叿链変袱绉嶆槑鏄剧ǔ瀹氱姸镐佺殑鍏冧欢寰埚氥备緥濡傦纴姘栫伅镄"浜"鍜"镡"锛涘紑鍏崇殑钬濆紑钬滃拰钬濆叧钬; 鐢靛帇镄勨濋珮钬滃拰钬濅绠钬溿佲濇b滃拰钬濊礋钬滐绂绾稿甫涓婄殑钬濇湁瀛斺滃拰钬沧棤瀛斺濓纴鐢佃矾涓镄勨濇湁淇″彿钬滃拰钬濇棤淇″彿钬, 纾佹ф潗鏂欑殑鍗楁瀬鍜屽寳鏋佺瓑绛夛纴涓嶈儨鏋氢妇銆

鍒╃敤杩欎簺鎴铹朵笉钖岀殑鐘舵佹潵浠h〃鏁板瓧锛屾槸寰埚规槗瀹炵幇镄勚备笉浠呭傛わ纴镟撮吨瑕佺殑鏄涓ょ嶆埅铹朵笉钖岀殑鐘舵佷笉鍗曟湁閲忎笂镄勫樊鍒锛岃屼笖鏄链夎川涓婄殑涓嶅悓銆傝繖镙峰氨鑳藉ぇ澶ф彁楂樻満鍣ㄧ殑鎶楀共镓拌兘锷涳纴鎻愰珮鍙闱犳с傝岃佹垒鍑轰竴涓鑳借〃绀哄氢簬浜岀岖姸镐佽屼笖绠鍗曞彲闱犵殑鍣ㄤ欢锛屽氨锲伴毦寰楀氢简銆

鍙傝冭祫鏂欐潵婧愶细

锏惧害锏剧-浜岃繘鍒