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數(shù)字邏輯設(shè)計(jì) 讀者對象:本書可作為高等院校工科類專業(yè)數(shù)字邏輯設(shè)計(jì)課程的教材,也可供對數(shù)字邏輯設(shè)計(jì)感興趣的人員參考。
本書是首批國家級一流本科課程“數(shù)字邏輯設(shè)計(jì)”的主講教材,主要介紹數(shù)字邏輯設(shè)計(jì)的相關(guān)知識與思維方法。全書共11 章,內(nèi)容包括初識數(shù)字邏輯、邏輯代數(shù)基礎(chǔ)、卡諾圖化簡、組合邏輯電路、觸發(fā)器、時(shí)序邏輯電路分析、時(shí)序邏輯電路設(shè)計(jì)、可編程邏輯器件。 本書可作為高等院校工科類專業(yè)數(shù)字邏輯設(shè)計(jì)課程的教材,也可供對數(shù)字邏輯設(shè)計(jì)感興趣的人員參考。
張彥航,副教授,哈爾濱工業(yè)大學(xué)計(jì)算學(xué)部軟件學(xué)院智能軟件工程研究中心副主任,2012年碩士畢業(yè)于哈爾濱工業(yè)大學(xué)計(jì)算機(jī)科學(xué)與技術(shù)專業(yè),長期從事智能軟件工程的教學(xué)與科研工作。
第1 章開篇——初識數(shù)字邏輯············1
1.1 本書知識脈絡(luò)······················.1 1.2 初識數(shù)字邏輯······················.2 1.2.1 數(shù)字系統(tǒng)設(shè)計(jì)的三個(gè)層次····3 1.2.2 幾個(gè)基本概念·················4 1.2.3 數(shù)字系統(tǒng)中的開關(guān)器件·······5 1.3 編碼··································.5 1.3.1 BCD 碼························5 1.3.2 余3 碼·························6 1.3.3 格雷碼·························6 1.3.4 奇偶校驗(yàn)碼····················9 1.4 研討探究··························.10 1.5 深入思考··························.11 1.6 小故事大情懷····················.11 習(xí)題1 ····································.11 第2 章萬丈高樓平地起——邏輯 代數(shù)基礎(chǔ) ··························.12 2.1 幾個(gè)基本概念····················.12 2.2 基本邏輯運(yùn)算····················.13 2.2.1 與運(yùn)算(邏輯乘) ·········.13 2.2.2 或運(yùn)算(邏輯加) ·········.14 2.2.3 非運(yùn)算(邏輯反) ·········.14 2.3 復(fù)合邏輯運(yùn)算····················.15 2.3.1 與非運(yùn)算···················.15 2.3.2 或非運(yùn)算···················.15 2.3.3 與或非運(yùn)算·················.16 2.3.4 異或運(yùn)算···················.16 2.3.5 同或運(yùn)算···················.17 2.4 邏輯函數(shù)的表示方法···········.18 2.4.1 由真值表寫出標(biāo)準(zhǔn)邏輯 表達(dá)式······················.18 2.4.2 由邏輯表達(dá)式畫出真值表·.19 2.4.3 由邏輯圖得出邏輯表達(dá)式·.20 2.4.4 由邏輯表達(dá)式畫出邏輯圖·.20 2.5 邏輯代數(shù)定理及規(guī)則···········.20 2.5.1 公理························.20 2.5.2 基本定理···················.21 2.5.3 特殊定理···················.21 2.6 代數(shù)化簡法·······················.23 2.6.1 何為最簡···················.23 2.6.2 代數(shù)化簡法實(shí)例············.24 2.7 最小項(xiàng)與最大項(xiàng)·················.25 2.7.1 最小項(xiàng)與最大項(xiàng)的定義····.25 2.7.2 最小項(xiàng)與最大項(xiàng)的性質(zhì)····.25 2.7.3 最小項(xiàng)與最大項(xiàng)表達(dá)式····.26 2.8 非完全給定函數(shù)·················.28 2.8.1 無關(guān)項(xiàng)······················.28 2.8.2 非完全給定函數(shù)的定義····.29 2.9 小材大用——應(yīng)用異或門 設(shè)計(jì)旅客身高檢測器···········.29 2.10 研究探討························.30 2.11 深入思考························.30 2.12 小故事大情懷··················.31 習(xí)題2 ····································.31 第3 章方圓之間的神奇——卡諾圖 化簡 ································.33 3.1 卡諾圖的含義····················.33 3.2 填寫卡諾圖·······················.34 3.2.1 由真值表填寫卡諾圖······.34 3.2.2 由標(biāo)準(zhǔn)與或式、標(biāo)準(zhǔn)或與式 填寫卡諾圖·················.34 3.2.3 由一般表達(dá)式填寫卡諾圖·.35 3.3 基于卡諾圖的邏輯運(yùn)算·······.35 3.4 卡諾圖化簡法····················.36 3.4.1 利用卡諾圖讀取最簡 與或式······················.37 3.4.2 利用卡諾圖讀取最簡 或與式······················.38 3.4.3 利用卡諾圖讀取最簡 與或非式 ···················.38 3.5 帶無關(guān)項(xiàng)的卡諾圖化簡········.39 3.6 卡諾圖化簡的進(jìn)一步討論·····.41 3.6.1 展開定理···················.41 3.6.2 卡諾圖拆分后相鄰單元格 的判斷······················.41 3.7 研究探討··························.43 3.8 深入思考··························.43 3.9 小故事大情懷····················.44 習(xí)題3 ····································.44 第4 章玩轉(zhuǎn)邏輯門——組合邏輯 電路(一) ·······················.45 4.1 門電路的級數(shù)····················.45 4.1.1 二級門電路·················.45 4.1.2 二級門電路的8 種基本 形式 ························.47 4.2 利用單一邏輯門設(shè)計(jì)二級 組合邏輯電路···················.48 4.2.1 利用與非門設(shè)計(jì)二級組合 邏輯電路 ···················.48 4.2.2 利用或非門設(shè)計(jì)二級組合 邏輯電路 ···················.49 4.2.3 利用與或非門設(shè)計(jì)二級 組合邏輯電路 ··············.50 4.3 利用單一邏輯門設(shè)計(jì)多級 組合邏輯電路···················.51 4.3.1 利用與非門設(shè)計(jì)多級組合 邏輯電路 ···················.51 4.3.2 利用或非門設(shè)計(jì)多級組合 邏輯電路 ···················.51 4.4 多輸出電路的設(shè)計(jì)··············.52 4.5 組合邏輯電路的分析···········.53 4.6 應(yīng)用案例——多功能函數(shù) 發(fā)生器·····························.55 4.7 利用邏輯門設(shè)計(jì)組合邏輯 電路 ·······························.55 4.8 使用有限扇入門設(shè)計(jì)組合 邏輯電路 ·························.58 4.9 典型組合邏輯部件··············.59 4.9.1 半加器······················.59 4.9.2 全加器······················.60 4.9.3 并行加法器·················.61 4.9.4 集電極開路門··············.63 4.9.5 三態(tài)緩沖器·················.64 4.10 研討探究························.66 4.11 深入思考························.67 4.12 小故事大情懷··················.67 習(xí)題4 ····································.67 第5 章險(xiǎn)象環(huán)生——組合邏輯 電路(二) ·······················.69 5.1 組合邏輯電路中的險(xiǎn)象········.69 5.1.1 門延遲······················.69 5.1.2 組合邏輯電路的冒險(xiǎn)······.69 5.1.3 冒險(xiǎn)的類型·················.70 5.2 險(xiǎn)象的判別·······················.73 5.2.1 代數(shù)判別法·················.73 5.2.2 卡諾圖判別法··············.74 5.3 險(xiǎn)象的消除·······················.74 5.4 組合邏輯電路的測試···········.76 5.5 研討探究··························.76 5.6 深入思考··························.77 5.7 小故事大情懷····················.77 習(xí)題5 ····································.77 第6 章數(shù)字邏輯的基石——組合 邏輯電路(三) ·················.79 6.1 集成電路的分類·················.79 6.2 數(shù)據(jù)選擇器·······················.80 6.3 譯碼器·····························.83 6.3.1 二進(jìn)制譯碼器··············.83 6.3.2 代碼轉(zhuǎn)換譯碼器············.85 6.3.3 顯示譯碼器·················.87 6.4 編碼器·····························.88 6.4.1 普通編碼器·················.88 6.4.2 優(yōu)先權(quán)編碼器··············.90 6.5 數(shù)值比較器·······················.91 6.5.1 一位數(shù)值比較器············.91 6.5.2 多位數(shù)值比較器············.92 6.5.3 數(shù)值比較器的級聯(lián)·········.93 6.6 奇偶校驗(yàn)器·······················.94 6.7 利用中規(guī)模芯片設(shè)計(jì)組合 邏輯電路 ·························.96 6.7.1 利用中規(guī)模芯片數(shù)據(jù)選擇器 設(shè)計(jì)組合邏輯電路·········.96 6.7.2 利用中規(guī)模芯片譯碼器 設(shè)計(jì)組合邏輯電路·········100 6.8 研討探究··························103 6.9 深入思考··························103 6.10 小故事大情懷··················103 習(xí)題6 ····································104 第7 章走在時(shí)間的邊沿—— 觸發(fā)器 ·····························106 7.1 時(shí)序邏輯電路的特點(diǎn)···········106 7.1.1 兩個(gè)重要概念··············107 7.1.2 雙穩(wěn)態(tài)觸發(fā)器/鎖存器的 特點(diǎn) ························107 7.1.3 鎖存器和觸發(fā)器的區(qū)別····108 7.2 鎖存器·····························108 7.2.1 基本RS 鎖存器············108 7.2.2 門控D 鎖存器·············.113 7.2.3 鎖存器或觸發(fā)器的空翻 現(xiàn)象 ·······················.114 7.3 觸發(fā)器····························.115 7.3.1 RS 觸發(fā)器·················.116 7.3.2 D 觸發(fā)器··················.116 7.3.3 JK 觸發(fā)器·················.117 7.3.4 T 觸發(fā)器···················.119 7.3.5 T ‘觸發(fā)器···················120 7.4 帶附加輸入端的觸發(fā)器········120 7.4.1 帶異步清零端和異步 置 1 端······················120 7.4.2 帶時(shí)鐘使能端··············121 7.5 觸發(fā)器類型轉(zhuǎn)換·················122 7.5.1 代數(shù)法······················122 7.5.2 卡諾圖法···················123 7.6 研討探究·························.124 7.7 深入思考·························.124 7.8 小故事大情懷···················.124 習(xí)題7 ···································.125 第8 章與時(shí)間打交道——時(shí)序邏輯 電路分析 ·························.127 8.1 時(shí)序邏輯電路分類·············.127 8.2 寄存器····························.128 8.2.1 基本寄存器················.128 8.2.2 單向移位寄存器···········.129 8.2.3 雙向移位寄存器···········.133 8.3 計(jì)數(shù)器····························.136 8.3.1 計(jì)數(shù)器的概念及特點(diǎn)·····.136 8.3.2 計(jì)數(shù)器的種類·············.136 8.3.3 時(shí)序邏輯電路的分析 方法 ·······················.136 8.3.4 同步計(jì)數(shù)器舉例···········.137 8.3.5 異步計(jì)數(shù)器舉例···········.139 8.4 節(jié)拍發(fā)生器······················.141 8.4.1 計(jì)數(shù)型節(jié)拍發(fā)生器舉例···.141 8.4.2 移位型節(jié)拍發(fā)生器舉例···.143 8.5 時(shí)序邏輯電路的分析··········.145 8.5.1 同步時(shí)序邏輯電路的 分析 ·······················.146 8.5.2 異步時(shí)序邏輯電路的 分析 ·······················.149 8.6 應(yīng)用案例——簡易I/O 電路··.151 8.7 研討探究·························.153 8.8 深入思考·························.153 8.9 小故事大情懷···················.153 習(xí)題8 ···································.154 第9 章觸發(fā)器用起來——時(shí)序邏輯 電路設(shè)計(jì)(一) ················.158 9.1 時(shí)序邏輯電路設(shè)計(jì)方法 概述 ······························.158 9.1.1 開篇示例··················.158 9.1.2 建立原始狀態(tài)圖和原始 狀態(tài)表·····················.161 9.1.3 狀態(tài)表化簡················.167 9.1.4 狀態(tài)分配··················.173 9.2 利用觸發(fā)器設(shè)計(jì)同步時(shí)序 邏輯電路典型案例·············175 9.2.1 模8 可逆計(jì)數(shù)器············175 9.2.2 自動(dòng)售賣機(jī)·················177 9.2.3 時(shí)序鎖······················184 9.2.4 二進(jìn)制串行加法器·········187 9.2.5 串行輸入的8421BCD 碼 檢測器······················189 9.2.6 奇偶校驗(yàn)器·················193 9.3 復(fù)雜時(shí)序邏輯電路的設(shè)計(jì)·····194 9.3.1 碼制轉(zhuǎn)換器·················194 9.3.2 多序列檢測器··············198 9.4 利用觸發(fā)器設(shè)計(jì)異步時(shí)序 邏輯電路 ·························199 9.4.1 利用觸發(fā)器設(shè)計(jì)異步時(shí)序 邏輯電路的方法···········199 9.4.2 利用觸發(fā)器設(shè)計(jì)異步 計(jì)數(shù)器······················203 9.5 應(yīng)用案例——時(shí)序邏輯電路 故障診斷 ·························208 9.6 研討探究··························210 9.7 深入思考··························210 9.8 小故事大情懷···················.211 習(xí)題9 ···································.211 第10 章中規(guī)模芯片顯身手—— 時(shí)序邏輯電路設(shè)計(jì)(二) ···215 10.1 計(jì)數(shù)器芯片·····················215 10.1.1 采用清零法設(shè)計(jì)計(jì) 數(shù)器 ·····················217 10.1.2 采用置數(shù)法設(shè)計(jì)計(jì) 數(shù)器 ·····················219 10.1.3 計(jì)數(shù)器級聯(lián)··············219 10.1.4 計(jì)數(shù)器的應(yīng)用···········223 10.1.5 可變模值計(jì)數(shù)器設(shè)計(jì)····225 10.2 寄存器芯片·····················226 10.2.1 寄存器芯片74LS194 概述·····················226 10.2.2 寄存器芯片的典型 應(yīng)用 ····················.227 10.2.3 應(yīng)用案例——同步 二進(jìn)制串行加法器·····.230 10.3 應(yīng)用案例——數(shù)字密碼鎖···.231 10.4 研討探究·······················.233 10.5 深入思考·······················.233 10.6 小故事大情懷·················.233 習(xí)題10··································.234 第11 章我的芯片我做主——可編程 邏輯器件 ·······················.237 11.1 可編程邏輯器件概述········.237 11.2 ROM 的基本原理及應(yīng)用····.238 11.2.1 ROM 系列概述·········.238 11.2.2 ROM 的基本原理······.239 11.2.3 ROM 的典型應(yīng)用······.242 11.3 PROM 的基本原理及應(yīng)用··.247 11.3.1 PROM 的基本原理·····.247 11.3.2 PROM 的典型應(yīng)用·····.247 11.3.3 PROM 的擴(kuò)展··········.251 11.4 其他低密度PLD··············.255 11.4.1 PLA 的基本原理及 應(yīng)用 ····················.255 11.4.2 PAL 的基本原理及 應(yīng)用 ····················.265 11.4.3 GAL 的基本原理及 應(yīng)用 ····················.266 11.5 高密度PLD····················.271 11.5.1 CPLD 的基本原理······.271 11.5.2 FPGA 的基本原理······.272 11.6 新一代智能芯片··············.274 11.7 應(yīng)用案例——簡易十字路口 交通控制器 ····················.277 11.8 研討探究·······················.280 11.9 深入思考·······················.280 11.10 小故事大情懷················.280 習(xí)題11··································.281 附錄A 參考答案··························.283
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