数字考题英文031.doc

考试时间 120 分钟 试 题 班级 学号 姓名 Part I ( 45% ) Convert the following decimal number to a. Binary b. BCD8421 c. BCD excess 3 (25.75)10 =( )2= ( )8421 =( )excess3 For the following expression , F=ABC’+A’C’D+AB’C’ + BC’D a. plot F on the K-map b. show sum of standard product terms form (minterms) in numeric form: F= show product of standard sum terms form (maxterms) in numeric form: F= 3． For F=Σ(0,1,10,11,14,15)+Σd(6,7,8,9,), Reduce to a minimum sum of products form: F= b. Reduce to a minimum product of sums form: F= For each of the following circuits, find an algebraic expression (in any form). F1= F2= F3= F4= F5= system has three inputs (A,B,C) and one output F . F is to be 1 if and only if the sum of three inputs A B C F is odd(奇数) . Form the truth table of the system. Designing a counter that module is 10 with D flip-flops, determine at least number of D flip-flops. Answer: For the following circuit, find the equations (J,K,D,Q*) and draw timing diagram. J= K= Q1*= D= Q2*= Part II ( 35% ) 1. For the following counter, show main state table and determine the module (M=?) . 2. For the following counter Find the initial state and final state of the counter Determine the module (M=?) . 3. For the following state diagram (initially state A), Show the state table and reduced state table b. Complete the trace of output Z when the trace of input x is shown as following. X 1 0 1 0 1 0 1 0 1 0 0 1 0 0 Z 0 4. For the following circuit . Analysis the circuit and describe its function(功能) Draw the timing diagram Part III ( 20% ) We have a decoder (74138 3 to 8 ) with three inputs