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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))
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.
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.
In a village 50% of the villagers produce rice, 40% of the villagers produce apples and 50% of the villagers produce vegetables, 20% of the villagers produce rice and apples both, 25% of the villagers produce apples and vegetables both, 20% of the villagers produce rice and vegetables both and 10% of the villagers produce all three. Find the percentage of villagers who do not produce anything.
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.
What is the minimum number of two input NAND gates used to perform the function of two input OR gates?
Which gate will a NAND gate be equivalent to when two inputs of NAND gates are shorted?
What is the minimum number of NAND gates required to get the function of an OR gate?
A suit, a trouser, and a shirt are to be stitched from a cloth. The cloth required for the suit is the average of cloth required for trousers and shirt. The length of the cloth for suit is 1.5 times the cloth required for the shirt. The length of cloth required for shirt is 5 times the even prime number. Which of the following is/are correct? A. Cloth required for trousers is 20 m B. Average length of cloth required for all the dresses = Cloth required for suit C. Initially, the cloth was 45 m D. Cloth required for shirt is 15 m
In a village there are 300 people. They produce different crops, out of all people 190 people produce paddy, 160 people produce wheat and 100 people produce both paddy and wheat. Find the number of people who neither produce paddy nor wheat.