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U2L1DeMorgansTheorems

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Using DeMorgan’s Theorems and the other theorems and laws of Boolean algebra, simplify the following expression:

mc001-1.jpg
a.
mc001-4.jpg
c.
mc001-6.jpg
b.
mc001-5.jpg
d.
mc001-7.jpg
 

 2. 

Using DeMorgan’s Theorems and the other theorems and laws of Boolean algebra, simplify the following expression:

mc002-1.jpg
a.
mc002-3.jpg
c.
mc002-5.jpg
b.
mc002-4.jpg
d.
mc002-6.jpg
 

 3. 

Using DeMorgan’s Theorems and the other theorems and laws of Boolean algebra, simplify the following expression:

mc003-1.jpg
a.
mc003-3.jpg
c.
mc003-5.jpg
b.
mc003-4.jpg
d.
mc003-6.jpg
 

 4. 

Using DeMorgan’s Theorems and the other theorems and laws of Boolean algebra, simplify the following expression:

mc004-1.jpg
a.
mc004-3.jpg
c.
mc004-5.jpg
b.
mc004-4.jpg
d.
mc004-6.jpg
 

 5. 

Using DeMorgan’s Theorems and the other theorems and laws of Boolean algebra, simplify the following expression:

mc005-1.jpg
a.
mc005-3.jpg
c.
0
b.
mc005-4.jpg
d.
1
 

 6. 

Using DeMorgan’s Theorems and the other theorems and laws of Boolean algebra, simplify the following expression:

mc006-1.jpg
a.
mc006-3.jpg
c.
mc006-5.jpg
b.
mc006-4.jpg
d.
mc006-6.jpg
 

 7. 

The simplest form of X = mc007-1.jpg is ________.
a.
X = mc007-2.jpg + mc007-3.jpg
c.
X = mc007-6.jpg mc007-7.jpg mc007-8.jpg
b.
X = mc007-4.jpg + mc007-5.jpg
d.
X = mc007-9.jpg mc007-10.jpg
 

 8. 

What is the simplest form of X = AB + Amc008-1.jpg + BC?
a.
X = AB + C
c.
X = Bmc008-2.jpg + C
b.
X = A + BC
d.
It is in its simplest form.
 

 9. 

Which of the following is an example of DeMorgan's theorem?
a.
mc009-1.jpg mc009-2.jpg = mc009-3.jpg + mc009-4.jpg
c.
mc009-8.jpg = mc009-9.jpg mc009-10.jpg
b.
mc009-5.jpg = mc009-6.jpg + mc009-7.jpg
d.
mc009-11.jpg = mc009-12.jpg + mc009-13.jpg
 

 10. 

By using DeMorgan's theorem, X = mc010-1.jpg is simplified to ________.
a.
X = A(B + mc010-2.jpg)
c.
X = A + B + mc010-4.jpg
b.
X = ABmc010-3.jpg
d.
X = A + Bmc010-5.jpg
 

 11. 

Which step in this reduction series is based on DeMorgan's Theorem?

X = mc011-1.jpg(mc011-2.jpg)      STEP 1      X = (mc011-3.jpg + mc011-4.jpg)(mc011-5.jpg)

      STEP 2      X = mc011-6.jpg mc011-7.jpg mc011-8.jpg + mc011-9.jpg mc011-10.jpg mc011-11.jpg

      STEP 3      X = mc011-12.jpg mc011-13.jpg(mc011-14.jpg + 1)

      STEP 4      X = mc011-15.jpg mc011-16.jpg
a.
STEP 1
c.
STEP 3
b.
STEP 2
d.
STEP 4
 



 
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