[試題] 98上 李建模 交換電路與邏輯設計 小考
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）︰2009/10/22
考試時限（分鐘）：50分
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 2009
Quiz#1
Problem 1:
Substract the following pairs of 4-bit binary numbers. Assume that negative
numbers are represented in 2's complement. Indicate when an overflow occurs.
0011-1011 (20 points)
Problem 2:
Find the minimum product-of-sum form of Z=(AB⊕C)+(EF≡GH).
(20 points)
Problem 3:
Simplify F=ABC'D+A'BE+ABCE+AB'C'D+ABDE
(reduce to a sum of three terms) (20 points)
Problem 4:
(a)Please draw the Karnaugh map of F(A,B,C,D)=sigma m(0,1,3,9,11,12,14,15)
+sigma d(4,5,6,7,10). Please note that A is the most significant bit and
D is the least significant bit. That means: ABCD=0001 corresponds to the
mintern m1. (10 points)
(b)Please show the minimum SOP of F. (10 points)
(c)Please show the minimum POS of F'. (10 points)
(d)Show the maxterm expansion of F'. (10 points)
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11/13 04:02, , 1F
11/13 04:02, 1F