Mallard ECE 290: Computer Engineering I  Spring 2007  Graded Web...
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1/26/2007 12:22 AM
Graded WebQuiz: Duality and the Principle of
Duality
You have submitted this WebQuiz 2 times (including this time).
You may submit this WebQuiz a total of 10 times and receive full credit.
WARNING:
When you write a dual expression, it must be exact. Do not use commutativity. Use
parentheses only if required. (E.g., the dual of (x + y)z is xy + z. Both (xy)+z and yx + z will be marked
as wrong.)
Question #1
The
dual
of [(A + B') C] (B' + CD') is equal to:
(AB' + C) + B'(C + D')
(A'(B + C') + B)(C' + D)
A(B' + C) + B'(C + D')
(A(B' + C) + B')(C + D')
none of the above
You received a raw score of 100% on this question.
Question #2
Give the (exact) dual of
x' (y + 1) :
x'+y0
Knowing that
x' (y + 1) = x'
, the principle of duality tells us that
x'+y0=x'
You received a raw score of 100% on this question.
Question #3
Give the
exact
dual of the following identity:
(x + x'yz)z + 1 = 1
[x(x' + y + z) + z]0 = 0
(x(y+z)+z)0 = 0
0=0
[x(x' + y + z) + z]0
(x + yz)z + 1 = 1
all of the above
none of the above
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 Spring '08
 Staff
 Vector Space, Englishlanguage films, Duality, Dual polyhedron, Mallard ECE

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