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8) How many gates, inicluding inverters, are required to implenent the equation,

ID: 3755750 • Letter: 8

Question

8) How many gates, inicluding inverters, are required to implenent the equation, X-A AB AB 18) after it is simplified using Boolean algebra? C) 3 D) 4 B) 2 19) The NAND gate is referred to as a "universal" gate, because it C) can be used to build all the other types of gates A) 1 19) A) is used in all the countries of the world B) can be found in almost all digital circuits D) was the first gate to be integrated Figure 5-3 20) Which circuit in Figure 5-3 represents the NAND implementation of a NOR gate? 20) A) Figure (A) B) Figurel B). C) Figure (C). D) Figure (D). 21) Which circuit in Figure 5-3 represents the NAND implementation of an AND-OR function? A) Figure (A) B) Figure (B). C) Figure (C) 21) D) Figure (D). 22) Which circuit in Figure 5-3 represents the NAND implementation of an inverter? A) Figure (A) B) Figure (B). C) Figure (C). 22) D) Figure (D).

Explanation / Answer

18:

Answer A: 1 gate

Explanation:

X = A + AB + A’B

= A + B(A+A’)

= A +B ; since A+A’ is 1

= A or B only 1 gate is enough

19:

Answer: C

Explanation:

NAND, NOR gates are known as universal gates since we can construct all the other gates using NAND or NOR gates.

20:

Answer: D (figure D)

Explanation:

Using De Morgan law AB = A’ + B’, The NOR gate can be implemented by usng NAND gate with the circuit in figure D

21:

Answer : B (Figure B)

Explanation:

If the inputs in the Figure A combined to each other, then the circuit will work as OR Gate

Figure B Gives the functioning of AND Gate

Figure C is equivalent for NOT gate (Inverter)

Figure D is equivalent for NOR Gate

22:

Answer : C (Figure C)

Explanation:

If the inputs in the Figure A combined to each other, then the circuit will work as OR Gate

Figure B Gives the functioning of AND Gate

Figure C is equivalent for NOT gate (Inverter)

Figure D is equivalent for NOR Gate

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