Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Identify the law of Boolean algebra upon which the following equality is based
on:  a. | COMMUTATIVE | c. | DISTRIBUTIVE | b. | ASSOCIATIVE | d. | None of these |
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2.
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Identify the law of Boolean algebra upon which the following equality is based
on:  a. | COMMUTATIVE | c. | DISTRIBUTIVE | b. | ASSOCIATIVE | d. | None of these |
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3.
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Identify the law of Boolean algebra upon which the following equality is based
on:  a. | COMMUTATIVE | c. | DISTRIBUTIVE | b. | ASSOCIATIVE | d. | None of these |
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4.
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Identify the law of Boolean algebra upon which the following equality is based
on:  a. | COMMUTATIVE | c. | DISTRIBUTIVE | b. | ASSOCIATIVE | d. | None of these |
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5.
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Identify the law of Boolean algebra upon which the following equality is based
on:  a. | COMMUTATIVE | c. | DISTRIBUTIVE | b. | ASSOCIATIVE | d. | None of these |
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6.
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Using the theorems and laws of Boolean algebra, simplify the following logic
expression.  a. | K | c. | JK | b. | J | d. |  |
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7.
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Using the theorems and laws of Boolean algebra, simplify the following logic
expression.  a. | 1 | c. |  | b. | 0 | d. |  |
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8.
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Using the theorems and laws of Boolean algebra, simplify the following logic
expression.  a. | X+Y | c. | Y | b. |  | d. | X |
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9.
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Using the theorems and laws of Boolean algebra, simplify the following logic
expression. 
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10.
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Using the theorems and laws of Boolean algebra, simplify the following logic
expression. 
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11.
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Using the theorems and laws of Boolean algebra, simplify the following logic
expression. 
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12.
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YOU MUST COMPLETE THE MULTIPLE RESPONSE QUESTION FIRST TO ANSWER THIS
QUESTION. This involves the coffee brew design.
If you worked for the company that
manufactured the coffee vending maching containing the poorly designed circuit, how much money would
your new design save the company annually if each GATE cost 15 cents and the company made
500,000 vending machines per year?
a. | $0.60 | d. | $300,000 | b. | $525,000 | e. | The cost is the same for each design, so the
company would not save any money. | c. | $225,000 |
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13.
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How many two-input gates are
needed to build the equivalent circuit for X = ABCD?
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14.
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A · 1 =
________.
a. | 1 | c. | A | b. | 0 | d. |  |
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15.
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A + 1 =
________.
a. | 1 | c. | A | b. | 0 | d. |  |
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16.
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A + 0 =
________.
a. | 1 | c. | A | b. | 0 | d. |  |
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17.
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A + 0 =
________.
a. | 1 | c. | A | b. | 0 | d. |  |
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18.
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A + A =
________.
a. | 1 | c. | A | b. | 0 | d. |  |
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19.
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A ·  =
________.
a. | 1 | c. | A | b. | 0 | d. |  |
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20.
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A +  =
________.
a. | 1 | c. | A | b. | 0 | d. |  |
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21.
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 =
________.a. | 1 | c. | A | b. | 0 | d. |  |
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22.
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A +  B =
________.
a. | AB | c. | A + B | b. |  B | d. |  +
B |
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23.
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 + AB =
________.a. |  +
B | c. | A +
B | b. | AB | d. |  B |
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24.
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The simplest form of X = A(B +
C) + C is ________.
a. | X = AB + AC +
C | c. | X = AB +
C | b. | X = AB +
AC | d. | X = A + B +
C |
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25.
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The simplest form of X = A(B +
C) + AC is ________.
a. | X = AB +
AC | c. | X = B +
AC | b. | X = A +
AC | d. | X = AB + BC |
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26.
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The simplest form of X = (A +
B) + AB is ________.
a. | X = A +
B | c. | X =  +
B | b. | X =
B | d. | X =  +
AB |
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27.
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The simplest form of X = AC +
 (A + B) is ________.
a. | X = AC + B | c. | X = A + B | b. | X = AC + B | d. | X =  +
AC |
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28.
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The simplest form of X = A(B +
C) +  B is ________.
a. | X = AB +  B | c. | X = AC +  B | b. | X = AC | d. | X = B +
AC |
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29.
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The simplest form of X = AB +
ABC + A( +  ) is
________.
a. | X = A + AC +  | c. | X = AB + A | b. | X = A | d. | X = AB +  |
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30.
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Which equation is in its
simplest form?
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Multiple Response
Identify one
or more choices that best complete the statement or answer the question.
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31.
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Shown below is a poorly designed AOI circuit that is part of a coffee vending
machine. Calculate the unsimplified logic expression and then calculate the simplified logic
expression using Boolean algebra. T is Temperature, P is Pressure and W is water.  Two answers are correct.
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