嘻道奇闻
- 文章199742
- 阅读14625734
二进制小数转十进制怎么？附详细步骤与案例
鏈夋病鏈夋兂杩囦綘瀹剁殑Wi-Fi淇″彿寮哄害銆佹墜鏈哄睆骞曚寒搴﹁皟鑺傝繖浜涙暟瀛楄儗鍚庯紝鍏跺疄閮借棌鐫€浜岃繘鍒跺皬鏁扮殑绉樺瘑锛熶粖澶╁挶浠氨鏉ョ偣纭牳浣嗚秴瀹炵敤鐨勫共璐р€斺€斺€?strong>鈥嬩簩杩涘埗灏忔暟杞崄杩涘埗鈥?/strong>鈥嬶紒鍒"灏忔暟"淇╁瓧鍚撳埌锛岃窡鐫€鎴戜竴姝ユ鏉ワ紝淇濆噯浣犲崐灏忔椂鍚庡氨鑳藉湪鏈嬪弸闈㈠墠绉€鎿嶄綔锛?/p>
馃毃 涓哄暐瑕佸杩欎釜锛熷挶浠厛鍒€ョ潃璺?/h3>
涓句釜鎺ュ湴姘旂殑渚嬪瓙锛氫綘鐜┿€?span>鐜嬭€呰崳鑰€銆嬫椂锛岃嫳闆勬妧鑳戒激瀹冲€煎彲鑳芥槸浜岃繘鍒跺瓨鍌ㄧ殑銆傚亣璁惧悗缇跨殑鏅敾浼ゅ鍊兼槸 鈥?strong>鈥?10.101鈥?/strong>鈥嬶紙浜岃繘鍒讹級锛岃浆鎹㈡垚鍗佽繘鍒跺氨鏄?鈥?strong>鈥?.625鈥?/strong>鈥嬧€斺€旇繖涓嬩綘鏄庣櫧涓哄暐鏈夋椂鍊欎激瀹冲€煎甫灏忔暟鐐逛簡鍚э紵
鈥?strong>鈥嬫洿鐙犵殑鈥?/strong>鈥嬶細璁＄畻鏈哄瓨鍌ㄩ鑹层€侀煶棰戦兘寰楃敤浜岃繘鍒跺皬鏁般€備笉鎳傝繖涓紝浣犺繛鎵嬫満灞忓箷涓哄暐鏄剧ず"濮ㄥ绾?閮借В閲婁笉娓咃紒
馃幆 鏍稿績濂楄矾锛氭媶锛佹媶锛佹媶锛?/h3>
鈥?strong>鈥嬭浣忚繖涓彛璇€鈥?/strong>鈥嬶細鈥?strong>鈥嬫暣鏁板皬鏁板垎寮€绠楋紝鏉冨€肩浉鍔犲緢绠€鍗曗€?/strong>鈥嬨€傚挶浠敤 鈥?strong>鈥?011.1101鈥?/strong>鈥?杩欎釜鏁板紑鍒€锛?br/> 1锔忊儯 鈥?strong>鈥嬫暣鏁伴儴鍒嗭紙1011锛夆€?/strong>鈥嬶細鑰佽鐭╀粠鍙冲線宸︾畻
- 绗?浣嶏細1脳2鈦?= 鈥?strong>鈥?鈥?/strong>鈥?/li>
- 绗?浣嶏細1脳2鹿 = 鈥?strong>鈥?鈥?/strong>鈥?/li>
- 绗?浣嶏細0脳2虏 = 鈥?strong>鈥?鈥?/strong>鈥?/li>
- 绗?浣嶏細1脳2鲁 = 鈥?strong>鈥?鈥?/strong>鈥?/li>
- 鈥?strong>鈥嬪悎璁♀€?/strong>鈥嬶細1+2+0+8=鈥?strong>鈥?1鈥?/strong>鈥?/li>
2锔忊儯 鈥?strong>鈥嬪皬鏁伴儴鍒嗭紙.1101锛夆€?/strong>鈥嬶細杩欐浠庡乏寰€鍙虫暟
- 绗?1浣嶏細1脳2鈦宦?= 鈥?strong>鈥?.5鈥?/strong>鈥?/li>
- 绗?2浣嶏細1脳2鈦宦?= 鈥?strong>鈥?.25鈥?/strong>鈥?/li>
- 绗?3浣嶏細0脳2鈦宦?= 鈥?strong>鈥?鈥?/strong>鈥?/li>
- 绗?4浣嶏細1脳2鈦烩伌 = 鈥?strong>鈥?.0625鈥?/strong>鈥?/li>
- 鈥?strong>鈥嬪悎璁♀€?/strong>鈥嬶細0.5+0.25+0+0.0625=鈥?strong>鈥?.8125鈥?/strong>鈥?/li>
鈥?strong>鈥嬫渶缁堢粨鏋溾€?/strong>鈥嬶細11锛堟暣鏁帮級+0.8125锛堝皬鏁帮級=鈥?strong>鈥?1.8125鈥?/strong>鈥?br/> 鏄笉鏄劅瑙夊儚鍦ㄦ媶蹇€掑寘瑁癸紵鏁存暟鏄富鍟嗗搧锛屽皬鏁版槸璧犲搧锛屽悎璧锋潵鎵嶆槸瀹屾暣鍖呰９锛?/p>
馃洜锔?鎵嬫妸鎵嬫暀瀛︼細涓夌姝﹀櫒浠讳綘閫?/h3>
姝﹀櫒1锔忊儯锛氭潈鍊兼牳绠楁硶锛堥€傚悎寮鸿揩鐥囷級
浠?鈥?strong>鈥?.1011鈥?/strong>鈥?涓轰緥锛?/p>
| 浜岃繘鍒朵綅 | 1 | 0 | 1 | 1 |
|---|---|---|---|---|
| 鏉冨€?/td> | 2鈦宦?/td> | 2鈦宦?/td> | 2鈦宦?/td> | 2鈦烩伌 |
| 璁＄畻 | 0.5 | 0 | 0.125 | 0.0625 |
| 鈥?strong>鈥嬫€诲拰鈥?/strong>鈥嬶細0.5+0+0.125+0.0625=鈥?strong>鈥?.6875鈥?/strong>鈥?/td> | ||||
| 鈥?strong>鈥嬩寒鐐光湪鈥?/strong>鈥嬶細鍍忔煡蹇€掑崟鍙凤紝姣忎綅鏁板瓧瀵瑰簲涓撳睘"韬唤鐮?锛?/td> |
姝﹀櫒2锔忊儯锛氫箻2鍙栨暣娉曪紙閫傚悎鎬ユ€у瓙锛?/h4>
鎶婂崄杩涘埗灏忔暟0.6875杞洖鏉ヨ瘯璇曪細
- 0.6875脳2=1.375 鈫?鈥?strong>鈥嬪彇鏁?鈥?/strong>鈥嬶紝鍓?.375
- 0.375脳2=0.75 鈫?鈥?strong>鈥嬪彇鏁?鈥?/strong>鈥嬶紝鍓?.75
- 0.75脳2=1.5 鈫?鈥?strong>鈥嬪彇鏁?鈥?/strong>鈥嬶紝鍓?.5
- 0.5脳2=1.0 鈫?鈥?strong>鈥嬪彇鏁?鈥?/strong>鈥嬶紝鍒氬ソ娓呴浂
鈥?strong>鈥嬬粨鏋滃€掔潃鍐欌€?/strong>鈥嬶細1011 鈫?鎵€浠?.6875=0.1011
鈥?strong>鈥嬪鍟婐煄夆€?/strong>鈥嬶細杩欐嫑鍍忕帺璐悆铔囷紝鍚冨埌鏁存暟1灏遍€氬叧锛?/li>
姝﹀櫒3锔忊儯锛氬垎鏁拌浆鎹㈡硶锛堥€傚悎鏁板璇句唬琛級
杩樻槸0.1011锛?br/>
= 1/2 + 0/4 + 1/8 +1/16
= (8+0+2+1)/16
=11/16=0.6875
鈥?strong>鈥嬬粷浜嗮煍モ€?/strong>鈥嬶細鎶婁簩杩涘埗灏忔暟褰撴姭钀ㄥ垏鍧楋紝鍑戝16鍧楀氨鑳芥嫾鍑哄畬鏁存暟鍊硷紒
馃挕 閬垮潙鎸囧崡锛氭柊鎵嬪繀鐪嬬殑琛€娉暀璁?/h3>
1锔忊儯 鈥?strong>鈥嬮『搴忔悶鍙嶅綋鍦烘毚姣欌€?/strong>鈥嬶細灏忔暟閮ㄥ垎蹇呴』浠庡乏寰€鍙崇畻锛屽拰鏁存暟鏂瑰悜鐩稿弽锛佹湁鍝ヤ滑鎶?.1011绠楁垚(1脳2鈦?+(0脳2鲁)...鐩存帴寰楀埌16锛岀瑧skr浜?/p>
2锔忊儯 鈥?strong>鈥嬭礋娆℃柟绠楁垚璐熸暟鈥?/strong>鈥嬶細2鈦宦?0.5鍙笉鏄?0.5锛佹浘缁忔湁鍏勫紵绠?.1杞崄杩涘埗寰?0.5锛屽樊鐐规€€鐤戜汉鐢?/p>
3锔忊儯 鈥?strong>鈥嬫棤闄愬惊鐜笉浼氬仠鈥?/strong>鈥嬶細鍍忓崄杩涘埗1/3=0.333...锛屼簩杩涘埗涔熸湁0.1(鍗佽繘鍒?.5)銆?.01(0.25)杩欑被"骞插噣鏁?銆傚鏋滈亣鍒?.00110011...杩欑鏃犻檺寰幆锛岀畻鍒伴渶瑕佺殑绮惧害灏卞仠鎵嬶紒
馃専 鐙瑙佽В锛氭垜鐨勭浼犵绫?/h3>
骞蹭簡鍗佸勾缂栫▼锛屽彂鐜颁釜鈥?strong>鈥嬫儕澶╃瀵嗏€?/strong>鈥嬶細鍏跺疄浜岃繘鍒跺皬鏁板拰鍗佽繘鍒跺皬鏁版槸闀滃儚鍏崇郴锛?/p>
- 鍗佽繘鍒?.5=浜岃繘鍒?.1 鈫?閮芥槸1/2
- 鍗佽繘鍒?.25=浜岃繘鍒?.01 鈫?閮芥槸1/4
- 鍗佽繘鍒?.125=浜岃繘鍒?.001 鈫?閮芥槸1/8
鈥?strong>鈥嬬湅鍑洪棬閬撴病鈥?/strong>鈥嬶紵瀹冧滑鍏跺疄鏄悓涓€鎵规暟瀛楀湪涓嶅悓杩涘埗涓嬬殑"鐨偆"锛佷笅娆￠亣鍒?.125鐩存帴璁版垚0.001锛屾瘮鑳屽叕寮忓揩10鍊嶏紒
杩樻湁涓€?strong>鈥嬬钘忔妧宸р€?/strong>鈥嬶細鐢ㄦ墜鏈鸿绠楀櫒楠岃瘉缁撴灉鏃讹紝鍏堣緭鏁存暟閮ㄥ垎锛屽啀闀挎寜"="閿Е鍙戠瀛﹁绠楀櫒锛岀洿鎺ュ垏杩涘埗杞崲鈥斺€斿埆鍛婅瘔鍒汉杩欐槸鎴戞暀鐨勶紒