作者nihility7893 (千本樱)
看板NTU-Exam
标题[试题] 100上 李建模 交换电路与逻辑设计 第一
时间Wed Jan 11 10:37:11 2012
课程名称︰交换电路与逻辑设计
课程性质︰必修
课程教师︰李建模
开课学院:电资学院
开课系所︰电机系
考试日期(年月日)︰2011/10/19
考试时限(分钟):50 min
是否需发放奖励金:是
(如未明确表示,则不予发放)
试题 :
Switching circuits & Logic Design , Fall 2011
Quiz # 1
Problem 1 : (40 points)
(A)
Please provide the dual of the following function in a minimum
sum-of-products form : f(A,B,C)=[A + (BC)'][A' + B(C'+A)].(20 points)
(B)
Please simplify the following equation using law/theorem(s) of Boolean algebra:
A'B'+ABC+B'CD+ABD'+ACD.(20%)
Problem 2 : (35%)
(A)
What is the result of the operation : 1⊕1⊕1⊕1⊕1⊕1⊕1⊕1⊕1⊕1?
(Please provide your reasoning to receive the credits.) (10 points)
(B)
Convert the unsigned binary number.1110101100111.0111_2(最後的2是底标) , to
an unsigned base 8 number. (10 points)
(C)
If the maximum length of the fractional part is only 8-bit long in a calculator
,what is the error generated when converting 3.1416_10 to binary ? (15 points)
Problem 3 : (25 points)
(A)
Please draw the Karnaugh map of
F(D,C,B,A)= Σm(0,2,3,4,7,8,10) + Σ d(5,12,13,15).
Pleasw note that A is the lease significant bit and D is the most significant
bit. That means ,D'C'B'A corresponds to minterm m_1 while DC'B'A' corresponds
to minterm m_8 .(15 points)
(B)
Please show all essential prime implicants of F. (10 points)
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