Which gate will a NAND gate be equivalent to when two inputs of NAND gates are shorted?

Which of the following circuits are equivalent (i.e., they produce the same output for all inputs)? F = ab + bc + ca G = (a + b) (b + c) (c + a) H = NAND (NAND(a, b), NAND(b, c), NAND(c, a))

A

F, G and H

B

F and H

C

F and G

D

G and H

In each question below is given a statement numbered I, II and III. An assumption is something supposed or taken for granted. You have to consider the following assumption and decide which of the assumption is implicit in the statement. Statement: The Amazon.com Inc. founder, Jeff Bezos’s net worth broke $150 billion in New York on Monday morning, according to the Bloomberg Billionaires Index. That’s about $55 billion more than Microsoft Corp. co-founder Bill Gates, the world’s second-richest person. Bezos, 54, has now topped Gates in inflation-adjusted terms. The $100 billion mark that Gates hit briefly in 1999 at the height of the dot-com boom would be worth about $149 billion in today’s dollars. Assumptions: I. Jeff Bezos is the richest person in modern history. II. That makes the Amazon founder richer than anyone else on earth since at least 2000 when Forbes published its inaugural wealth ranking. III. Gates would have had a net worth of more than $150 billion if he’d held onto assets that he’s given away, largely to the Bill & Melinda Gates Foundation.

A

Only I is implicit

B

All except II, I is implicit

C

Neither I, II nor III is implicit

D

Only II is implicit

E

Both I and II are implicit

Below some statements are given. You have to take the given statements to be true even if they appear to be at variance with commonly known facts, and then decide which of conclusions logically follows from the given statements. For each question, mark out an appropriate answer choice that you think is correct. Statements: All gates are libraries. Some gates are poles. No pole is room. Some rooms are halls. Conclusions: I) Some poles are library. II) Some gates are room. III) Some libraries are gates.

A

Conclusion I follows

B

Conclusion II follows

C

Both conclusions I and III follow

D

Conclusion III follows

Calculate the minimum number of AND gates, OR gates and NOT gates required to realize Exclusive-OR operation if only using AND, OR and NOT gates are allowed.

A

2 AND, 1 OR and 2 NOT gates or 1 AND, 2 OR and 2 NOT gates

B

2 AND, 2 NOT and 2 OR gates

C

3 AND, 1 NOT and 2 OR gates

D

2 AND and 2 OR gates

A NAND gate is equivalent to an AND gate followed by an inverter. All inputs must be _____ to get a low output

A

low

B

high

C

some low and some high

D

0's

E

None of the above

What is the minimum number of two input NAND gates used to perform the function of two input OR gates?

A

One

B

Two

C

Three

D

Four

NAND gate and NOR gate are universal logic gates.

A

True

B

False

A hydraulic structure has four gates which operate independently. The probability of failure of each gate is 0.2. Given that gate 1 has failed, the probability that both gates 2 and 3 will fail is

A

0.240

B

0.200

C

0.040

D

0.008

The statements below are followed by two conclusions labelled I and II. Assuming that the information in the statement is true, even if it appears to be at variance with generally established fact, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: All tables are TVs. All TVs are gates. Conclusion: I: Some Gates are tables. II: All tables are gates

A

Both conclusions follow

B

Only conclusion II follows

C

Only Conclusion I follows

D

Either conclusion I or conclusion II follows

Consider the following circuit. How many minimum numbers of two inputs NAND gates are required to design the above circuit?

A

6

B

4

C

5

D

3

E

2

Which gate will a NAND gate be equivalent to when two inputs of NAND gates are shorted?

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