One of DeMorgan's theorems states that (X+Y) = XY. Simply stated, this means that logically there is no difference between:

Question 2 options:

A)	a NAND gate and an OR gate with inverted inputs.

B)	a NOR gate and an AND gate with inverted inputs.

C)	an AND gate and a NOR gate with inverted inputs.

D)	a NOR gate and a NAND gate with inverted inputs.

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Question 3 (1 point)

Which of the following Boolean expressions represents the DeMorgan-ized version of the expression ((A+B)+CD)?

Question 3 options:

A)	(A+B) (CD)

B)

(A+B+C+D)

C)	(AB) (C+D)

D)

A+B+C+D

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Question 4 (1 point)

What is the non-minimized Boolean expression for the following truth table?

A	B	C	F
0	0	0	0
0	0	1	1
0	1	0	0
0	1	1	1
1	0	0	0
1	0	1	1
1	1	0	0
1	1	1	1

Question 4 options:

A)	X= A B C + A B C + A B C + A B C

B)	X= A B C + A B C + A B C + A B C

C)	X= A B C + A B C + A B C + A B C

D)	X=(A+B+C) (A+B+C) (A+B+C) (A+B+C)

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Question 5 (1 point)

Using Boolean algebra, the output expression for the preceding question may be simplified to:

Question 5 options:

A)

X = C

B)	X = BC + BC

C)	X = BC + ABC + ABC

D)	X = BC + (BC) + A + A

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Question 6 (1 point)

The most simplified form of the expression Z = (D+E+F) (D+E+F) F is:

Question 6 options:

A)	Z = (D+E)F

B)

Z = E F

C)

Z = D+EF

D)

Z = D(EF)

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Question 7 (1 point)

Which of the following Boolean expressions represents the sum-of-products form?

Question 7 options:

A)	X= A(BC) +(ABC)+ABC

B)	X= ABC+ABC+ABC

C)	X= (ABC)+ABC+ABC

D)	X= (ABC)+(A+B+C)+A+B+C

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Question 8 (1 point)

A certain Truth Table indicates a 3-input (A, B, and C) logic circuit has a HIGH output only when A=1, B=1, and C=1 or when A=0, B=1, and C=1. Which of the following is the correct output sum-of-products expression to implement the Truth Table?

Question 8 options:

A)	X= (A+B+C) (A+B+C)

B)	X= ABC+ABC

C)	X= A B C + A B C

D)	X= (A+B+C) (A+B+C)

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Question 9 (1 point)

Which of the following expressions represents the MOST simplified expression for Y=ABC[AB+C(BC+AC)]?

Question 9 options:

A)

Y=ABC

B)

Y=ABC+BC

C)

Y=AC+BC

D)

Y=BC

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Question 10 (1 point)

A logic circuit consists of a 3-input NOR gate with inputs A, B, and C. A second NOR gate has 2-inputs C and D. The output of the two NOR gates are fed directly to a 2-input AND gate. The correct Boolean expression for this circuit is:

Question 10 options:

A)	X=(A+B+C) (C+D)

B)	X=(ABC)+(CD)

C)	X=(ABC+CD)

D)	X=(A+B+C) (C+D)

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Question 11 (1 point)

The Boolean expression X = (A + B + C) is logically equivalent to what single operation?

Question 11 options:

A)

NOR

B)

NOT

C)

AND

D)

OR

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Question 12 (1 point)

Question 12 options:

Write the minterm expansion for the function detailed in the truth table below.

A	B	C	F
0	0	0	1
0	0	1	1
0	1	0	0
0	1	1	1
1	0	0	0
1	0	1	1
1	1	0	1
1	1	1	0

Note: If the answer happened to be minterms m0, m1 and m2, you would fill in the blank with: m0 + m1 + m2

F=

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Question 13 (2 points)

Question 13 options:

Minimize the function given in the previous problem using using Boolean theorems. The answer should be expressed in SOP form using A, a for A', B, b for B', C and c for C'.

Use this web page to generate the required answer. Copy and paste the answer in the answer box below.

NOTE: When you are asked to enter a Boolean equation as the answer to a fill-in-the-blank question on I-Learn, you will have to enter the complemented form of variables (signals) in lower case letters. Examples: Enter A' as: a Enter AB'CD' as: AbCd

F=