課程名稱︰交換電路與邏輯設計
課程性質︰電機系大二必修
課程教師︰全系統一命題
開課學院：電資學院
開課系所︰電機系
考試日期（年月日）︰2007/10/18
考試時限（分鐘）：50min
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.[10points] Convert to base 4:A73(base 11)
2.[30points] Draw a circuit to realize the following function:
F=ABC+A'BC+AB'C+ABC'
using two OR gates and two AND gates. All of gates should have two inputs.
3.[20points] Simplify A'BCD+A'BC'D+B'EF+CDE'G+A'DEF+A'B'EF
(Note/Hint:Reduce to a sum of three terms.)
4.[15points] A half adder is the circuitthat adds two bits(x,y) to give a sum
(S) and a carry out (Cout). Give the truth table for a half adder,and design
the circuit using only two gates.
(Hint:All of the gates mentioned from Unit1 to Unit5 are allowed to use.)
5.[25points] Find a minimum sum-of-products and a minimum product-of-sums for
the following function:
f(A,B,C,D)=ΠM(0,2,10,11,12,14,15)ΠD(5,7)
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