課程名稱︰交換電路與邏輯設計
課程性質︰必修
課程教師︰李建模
開課學院：電資學院
開課系所︰電機系
考試日期（年月日）︰2011/10/19
考試時限（分鐘）：50 min
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
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是底標) , 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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