南京邮电大学数字电路第二章习题

南京邮电大学数字电路第二章习题2.1有A、B、C三个输入信号，试列出下列问题的真值表，并写出其最小项表达式m()。

(1)如果A、B、C均为0或其中一个信号为1时，输出F=1，其余情况下F=0。(2)若A、B、C中出现奇数个0时输出为1，其余情况下输出为0。(3)若A、B、C中有两个或两个以上为1时，输出为1，其余情况下输出为0。Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/20232ABCF1F2F3000110001100010100011011100100101011110011111001解：真值表和最小项表达式如下：Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/202332.4试直接写出下列各式的反演式和对偶式。Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/20234Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/202352.10试写出下列各函数表达式F的F和F′的最小项表达式。Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/20236Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/202372.11试用公式法把下列各表达式化简为最简与或式。Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/20238Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/202392.12用卡诺图法把下列函数化简为最简与或式。011111011010110100ABCEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/20231011Ø10Ø1Ø111Ø101Ø110010110100ABCDEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/2023111011111ØØ01ØØØØ0010110100ABCDEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/2023122.13用卡诺图法将下列函数化简为最简或与式。011111011010110100ABCEvaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/2023132.14已知Evaluationonly.CreatedwithAspose.Slidesfor.NET3.5ClientProfile.Copyright2004-2011AsposePtyLtd.2/2/202314Ø1101111Ø010110100ABCØ1Ø11Ø01Ø010110100ABCA10Ø11Ø101010110100BC⊕﹦Evaluationonly.