Recent questions tagged kenneth-rosen / GATE Overflow for GATE CSE

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1111

Kenneth Rosen Edition 6th Exercise 1.1 Question 40 (Page No. 19)
Fuzzy logic is used in artificial intelligence. In fuzzy logic, a proposition has a truth value that is a number between 0 and 1, inclusive.A proposition with a truth value of 0 is false and one with a truth value of 1 is ... . What are the truth values of the statements Fred and John are happy and Neither Fred nor John is happy?

Fuzzy logic is used in artificial intelligence. In fuzzy logic, a proposition has a truth value that is a number between 0 and 1, inclusive.A proposition with a truth val...

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1.6k views

go_editor asked Apr 16, 2016

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1 answer

1112

Kenneth Rosen Edition 6th Exercise 1.1 Question 39 (Page No. 19)
Fuzzy logic is used in artificial intelligence. In fuzzy logic, a proposition has a truth value that is a number between 0 and 1, inclusive.A proposition with a truth value of 0 is false and one with a truth value of 1 is ... of the proposition. What are the truth values of the statements Fred is not happy and John is not happy?

Fuzzy logic is used in artificial intelligence. In fuzzy logic, a proposition has a truth value that is a number between 0 and 1, inclusive.A proposition with a truth val...

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863 views

go_editor asked Apr 15, 2016

3 votes

1 answer

1113

Kenneth Rosen Edition 6th Exercise 1.1 Question 38 (Page No. 19)
Evaluate each of these expressions. 1 1000 $\wedge$ (0 1011 $\vee$ 1 1011) (0 1111 $\wedge$ 1 0101) $\vee$ 0 1000 (0 1010 $\oplus$ 1 1011) $\oplus$ 0 1000 (1 1011 $\vee$ 0 1010) $\wedge$ (1 0001 ∨ 1 1011)

Evaluate each of these expressions.1 1000 $\wedge$ (0 1011 $\vee$ 1 1011)(0 1111 $\wedge$ 1 0101) $\vee$ 0 1000(0 1010 $\oplus$ 1 1011) $\oplus$ 0 1000(1 1011 $\vee$ 0 10...

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3.8k views

go_editor asked Apr 15, 2016

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0 answers

1114

Kenneth Rosen Edition 6th Exercise 1.1 Question 37 (Page No. 19)
Find the bitwise OR, bitwise AND, and bitwise XOR of each of these pairs of bit strings. 101 1110, 010 0001 1111 0000, 1010 1010 00 0111 0001, 10 0100 1000 11 1111 1111, 00 0000 0000

Find the bitwise OR, bitwise AND, and bitwise XOR of each of these pairs of bit strings.101 1110, 010 00011111 0000, 1010 101000 0111 0001, 10 0100 100011 1111 1111, 00 0...

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2.6k views

go_editor asked Apr 15, 2016

2 votes

1 answer

1115

Kenneth Rosen Edition 6th Exercise 1.1 Question 36 (Page No. 19)
What is the value of x after each of these statements is encountered in a computer program, if x = 1 before the statement is reached? if x + 2 = 3 then x := x + 1 if (x + 1 = 3) OR (2x + 2 = 3) then x := x + 1 if (2x + 3 = 5) AND (3x + 4 = 7) then x := x + 1 if (x + 1 = 2) XOR (x + 2 = 3) then x := x + 1 if x < 2 then x := x + 1

What is the value of x after each of these statements is encountered in a computer program, if x = 1 before the statement is reached?if x + 2 = 3 then x := x + 1if (x + 1...

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5.9k views

go_editor asked Apr 15, 2016

2 votes

1 answer

1116

Kenneth Rosen Edition 7 Exercise 1.1 Question 41 (Page No. 16)
Explain, without using a truth table, why $(p \vee q \vee r) \wedge (\neg p \vee \neg q \vee \neg r)$ is true when at least one of p, q, and r is true and at least one is false, but is false when all three variables have the same truth value.

Explain, without using a truth table, why $(p \vee q \vee r) \wedge (\neg p \vee \neg q \vee \neg r)$ is true when at least one of p, q, and r is true and at least one is...

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3.6k views

go_editor asked Apr 15, 2016

1 votes

2 answers

1117

Kenneth Rosen Edition 7 Exercise 1.1 Question 40 (Page No. 16)
Explain, without using a truth table, why$ (p \vee \neg q) \wedge (q \vee \neg r) \wedge (r \vee \neg p)$ is true when p, q, and r have the same truth value and it is false otherwise.

Explain, without using a truth table, why$ (p \vee \neg q) \wedge (q \vee \neg r) \wedge (r \vee \neg p)$ is true when p, q, and r have the same truth value and it is fal...

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2.8k views

go_editor asked Apr 15, 2016

0 votes

0 answers

1118

Kenneth Rosen Edition 6th Exercise 1.1 Question 35 (Page No. 19)
Construct a truth table for $(p \leftrightarrow q) \leftrightarrow (r \leftrightarrow s)$

Construct a truth table for $(p \leftrightarrow q) \leftrightarrow (r \leftrightarrow s)$

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402 views

go_editor asked Apr 15, 2016

0 votes

1 answer

1119

Kenneth Rosen Edition 6th Exercise 1.1 Question 34 (Page No. 19)
Construct a truth table for $((p \rightarrow q) \rightarrow r) \rightarrow s$

Construct a truth table for $((p \rightarrow q) \rightarrow r) \rightarrow s$

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775 views

go_editor asked Apr 15, 2016

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0 answers

1120

Kenneth Rosen Edition 6th Exercise 1.1 Question 33 (Page No. 19)
Construct a truth table for each of these compound propositions. $p \rightarrow (\neg q \vee r)$ $\neg p \rightarrow (q \rightarrow r)$ $(p \rightarrow q) \vee (\neg p \rightarrow r)$ ... $(\neg p \leftrightarrow \neg q) \leftrightarrow (q \leftrightarrow r)$

Construct a truth table for each of these compound propositions.$p \rightarrow (\neg q \vee r)$$\neg p \rightarrow (q \rightarrow r)$$(p \rightarrow q) \vee (\neg p \righ...

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486 views

go_editor asked Apr 15, 2016

0 votes

1 answer

1121

Kenneth Rosen Edition 6th Exercise 1.1 Question 32 (Page No. 19)
Construct a truth table for each of these compound propositions. $(p \vee q) \vee r$ $(p \vee q) \wedge r$ $(p \wedge q) \vee r$ $(p \wedge q) \wedge r$ $(p \vee q) \wedge \neg r$ $(p \wedge q) \vee \neg r$

Construct a truth table for each of these compound propositions.$(p \vee q) \vee r$$(p \vee q) \wedge r$$(p \wedge q) \vee r$$(p \wedge q) \wedge r$$(p \vee q) \wedge \ne...

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469 views

go_editor asked Apr 15, 2016

0 votes

0 answers

1122

Kenneth Rosen Edition 6th Exercise 1.1 Question 31 (Page No. 19)
Construct a truth table for each of these compound propositions. $p \rightarrow \neg q$ $\neg p \leftrightarrow q$ $(p \rightarrow q) \vee (\neg p \rightarrow q)$ $(p \rightarrow q) \wedge (\neg p \rightarrow q)$ ... $(\neg p \leftrightarrow \neg q) \leftrightarrow (p \leftrightarrow q)$

Construct a truth table for each of these compound propositions.$p \rightarrow \neg q$$\neg p \leftrightarrow q$$(p \rightarrow q) \vee (\neg p \rightarrow q)$$(p \righta...

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449 views

go_editor asked Apr 15, 2016

0 votes

1 answer

1123

Kenneth Rosen Edition 6th Exercise 1.1 Question 30 (Page No. 19)
Construct a truth table for each of these compound propositions. $p \oplus p$ $p \oplus \neg p$ $p \oplus \neg q$ $\neg p \oplus \neg q$ $(p \oplus q) \vee (p \oplus \neg q)$ $(p \oplus q) \wedge (p \oplus \neg q)$

Construct a truth table for each of these compound propositions.$p \oplus p$$p \oplus \neg p$$p \oplus \neg q$$\neg p \oplus \neg q$$(p \oplus q) \vee (p \oplus \neg q)$$...

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609 views

go_editor asked Apr 15, 2016

0 votes

0 answers

1124

Kenneth Rosen Edition 6th Exercise 1.1 Question 29 (Page No. 19)
Construct a truth table for each of these compound propositions. $(p \vee q) \rightarrow (p \oplus q)$ $(p \oplus q) \rightarrow (p \wedge q)$ $(p \vee q) \oplus (p \wedge q)$ ... $(p \leftrightarrow q) \oplus (\neg p \leftrightarrow \neg r)$ $(p \oplus q) \rightarrow (p \oplus \neg q)$

Construct a truth table for each of these compound propositions.$(p \vee q) \rightarrow (p \oplus q)$$(p \oplus q) \rightarrow (p \wedge q)$$(p \vee q) \oplus (p \wedge q...

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685 views

go_editor asked Apr 15, 2016

3 votes

1 answer

1125

Kenneth Rosen Edition 6th Exercise 1.1 Question 28 (Page No. 19)
Construct a truth table for each of these compound propositions. $p \rightarrow \neg p$ $p \leftrightarrow \neg p$ $p \oplus (p \vee q)$ $(p \wedge q) \rightarrow (p \vee q)$ $(q \rightarrow \neg p) \leftrightarrow (p \leftrightarrow q)$ $(p \leftrightarrow q) \oplus (p \leftrightarrow \neg q)$

Construct a truth table for each of these compound propositions.$p \rightarrow \neg p$$p \leftrightarrow \neg p$$p \oplus (p \vee q)$$(p \wedge q) \rightarrow (p \vee q)$...

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1.1k views

go_editor asked Apr 14, 2016

0 votes

1 answer

1126

Kenneth Rosen Edition 6th Exercise 1.1 Question 27 (Page No. 19)
Construct a truth table for each of these compound propositions. $p \wedge \neg p$ $p \vee \neg p$ $(p \vee \neg q) \rightarrow q$ $(p \vee q) \rightarrow (p \wedge q)$ $(p \rightarrow q) \leftrightarrow (\neg q \rightarrow \neg p)$ $(p \rightarrow q) \rightarrow (q \rightarrow p)$

Construct a truth table for each of these compound propositions.$p \wedge \neg p$$p \vee \neg p$$(p \vee \neg q) \rightarrow q$$(p \vee q) \rightarrow (p \wedge q)$$(p \r...

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1.9k views

go_editor asked Apr 14, 2016

3 votes

1 answer

1127

Kenneth Rosen Edition 6th Exercise 1.1 Question 26 (Page No. 19)
How many rows appear in a truth table for each of these compound propositions? $(q \rightarrow \neg p) \vee (\neg p \rightarrow \neg q)$ $(p \vee \neg t) \wedge (p \vee \neg s)$ $(p \rightarrow r) \vee (\neg s \rightarrow \neg t) \vee (\neg u \rightarrow v)$ $(p \wedge r \wedge s) \wedge (q \wedge t) \vee (r \wedge \neg t)$

How many rows appear in a truth table for each of these compound propositions?$(q \rightarrow \neg p) \vee (\neg p \rightarrow \neg q)$$(p \vee \neg t) \wedge (p \vee \ne...

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5.3k views

go_editor asked Apr 14, 2016

0 votes

2 answers

1128

Kenneth Rosen Edition 6th Exercise 1.1 Question 25 (Page No. 19)
How many rows appear in a truth table for each of these compound propositions? $p \rightarrow \neg p$ $(p \vee \neg r) \wedge (q \vee \neg s)$ $q \vee p \vee \neg s \vee \neg r \vee \neg t \vee u$ $(p \wedge r \wedge t) \leftrightarrow (q \wedge t)$

How many rows appear in a truth table for each of these compound propositions?$p \rightarrow \neg p$$(p \vee \neg r) \wedge (q \vee \neg s)$$q \vee p \vee \neg s \vee \ne...

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1.5k views

go_editor asked Apr 14, 2016

3 votes

1 answer

1129

Kenneth Rosen Edition 6th Exercise 1.1 Question 24 (Page No. 19)
State the converse, contrapositive, and inverse of each of these conditional statements. If it snows tonight, then I will stay at home. I go to the beach whenever it is a sunny summer day. When I stay up late, it is necessary that I sleep until noon.

State the converse, contrapositive, and inverse of each of these conditional statements.If it snows tonight, then I will stay at home.I go to the beach whenever it is a s...

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13.8k views

go_editor asked Apr 14, 2016

2 votes

3 answers

1130

Kenneth Rosen Edition 6th Exercise 1.1 Question 23 (Page No. 18)
State the converse, contrapositive, and inverse of each of these conditional statements. If it snows today, I will ski tomorrow. I come to class whenever there is going to be a quiz. A positive integer is a prime only if it has no divisors other than 1 and itself.

State the converse, contrapositive, and inverse of each of these conditional statements.If it snows today, I will ski tomorrow.I come to class whenever there is going to ...

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11.3k views

go_editor asked Apr 14, 2016

3 votes

1 answer

1131

Kenneth Rosen Edition 6th Exercise 1.1 Question 22 (Page No. 18)
Write each of these propositions in the form p if and only if q in English. For you to get an A in this course, it is necessary and sufficient that you learn how to solve discrete mathematics problems. If you read the newspaper ... can see the wizard only if the wizard is not in, and the wizard is not in only if you can see him.

Write each of these propositions in the form “p if and only if q” in English.For you to get an A in this course, it is necessary and sufficient that you learn how to ...

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6.2k views

go_editor asked Apr 14, 2016

3 votes

1 answer

1132

Kenneth Rosen Edition 6th Exercise 1.1 Question 21 (Page No. 18)
Write each of these propositions in the form p if and only if q in English. If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside. For you to win the contest it ... . If you watch television your mind will decay, and conversely. The trains run late on exactly those days when I take it.

Write each of these propositions in the form “p if and only if q” in English.If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is ho...

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6.2k views

go_editor asked Apr 14, 2016

1 votes

2 answers

1133

Kenneth Rosen Edition 6th Exercise 1.1 Question 20 (Page No. 18)
Write each of these statements in the form if p, then q in English. [Hint: Refer to the list of common ways to express conditional statements] I will remember to send you the address only if you send me an e-mail ... have a valid password to log on to the server. You will reach the summit unless you begin your climb too late.

Write each of these statements in the form “if p, then q” in English. [Hint: Refer to the list of common ways to express conditional statements]I will remember to sen...

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9.4k views

go_editor asked Apr 14, 2016

3 votes

1 answer

1134

Kenneth Rosen Edition 6th Exercise 1.1 Question 19 (Page No. 18)
Write each of these statements in the form if p, then q in English. [Hint: Refer to the list of common ways to express conditional statements.] It snows whenever the wind blows from the northeast. The apple trees will bloom ... if you bought your CD player less than 90 days ago. Jan will go swimming unless the water is too cold.

Write each of these statements in the form “if p, then q” in English. [Hint: Refer to the list of common ways to express conditional statements.]It snows whenever the...

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6.9k views

go_editor asked Apr 14, 2016

4 votes

1 answer

1135

Kenneth Rosen Edition 6th Exercise 1.1 Question 18 (Page No. 18)
Write each of these statements in the form if p, then q in English. [Hint: Refer to the list of common ways to express conditional statements.] It is necessary to wash the boss's car to get promoted. Winds ... a subscription fee. Getting elected follows from knowing the right people. Carol gets seasick whenever she is on a boat.

Write each of these statements in the form “if p, then q” in English. [Hint: Refer to the list of common ways to express conditional statements.]It is necessary to wa...

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9.1k views

go_editor asked Apr 14, 2016

3 votes

2 answers

1136

Kenneth Rosen Edition 6th Exercise 1.1 Question 17 (Page No. 18)
For each of these sentences, state what the sentence means if the logical connective or is an inclusive or (that is, a disjunction) versus an exclusive or. Which of these meanings of or do you think is intended? To take discrete ... column B. School is closed if more than 2 feet of snow falls or if the wind chill is below −100.

For each of these sentences, state what the sentence means if the logical connective or is an inclusive or (that is, a disjunction) versus an exclusive or. Which of these...

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6.5k views

go_editor asked Apr 14, 2016

3 votes

3 answers

1137

Kenneth Rosen Edition 6th Exercise 1.1 Question 16 (Page No. 18)
For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer. Experience with C++ or Java is required. Lunch includes soup or salad. To enter the country you need a passport or a voter registration card. Publish or perish.

For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer.Experience with C++ or Java is required.Lunch include...

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8.5k views

go_editor asked Apr 14, 2016

5 votes

2 answers

1138

Kenneth Rosen Edition 6th Exercise 1.1 Question 15 (Page No. 18)
For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer. Coffee or tea comes with dinner. A password must have at least three digits or be at least eight characters long. ... is a course in number theory or a course in cryptography. You can pay using U.S. dollars or euros.

For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer.Coffee or tea comes with dinner.A password must have ...

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9.9k views

go_editor asked Apr 14, 2016

1 votes

1 answer

1139

Kenneth Rosen Edition 6th Exercise 1.1 Question 14 (Page No. 18)
Determine whether each of these conditional statements is true or false. If 1 + 1 = 3, then unicorns exist. If 1 + 1 = 3, then dogs can fly. If 1 + 1 = 2, then dogs can fly. If 2 + 2 = 4, then 1 + 2 = 3

Determine whether each of these conditional statements is true or false.If 1 + 1 = 3, then unicorns exist.If 1 + 1 = 3, then dogs can fly.If 1 + 1 = 2, then dogs can fly....

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7.8k views

go_editor asked Apr 14, 2016

1 votes

1 answer

1140

Kenneth Rosen Edition 6th Exercise 1.1 Question 13 (Page No. 17)
Determine whether each of these conditional statements is true or false. If 1 + 1 = 2, then 2 + 2 = 5. If 1 + 1 = 3, then 2 + 2 = 4. If 1 + 1 = 3, then 2 + 2 = 5. If monkeys can fly, then 1 + 1 = 3.

Determine whether each of these conditional statements is true or false.If 1 + 1 = 2, then 2 + 2 = 5.If 1 + 1 = 3, then 2 + 2 = 4.If 1 + 1 = 3, then 2 + 2 = 5.If monkeys ...

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8.0k views

go_editor asked Apr 14, 2016

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author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true