4. Let p and q be variables with truth-values 0 or 1. Find logical expressions of p and q that represent binary addition and multiplication of their truth-value. Hint. Complete the following table, and treat it as a truth table. Then find expressions for sum, carry and product. b. 1 carry product 1 sum p. 1 1 1 1 Optional. There are two men. One of them is wearing a red shirt, and the other is wearing a blue shirt. The two men are named Andrew and Bob, but we do not know which is Andrew and which is Bob. The guy in the blue shirt says, “I am Andrew." The guy in the red shirt says, “I am Bob." If we know that at least one of them lied, then what color shirt is Andrew wearing?
4. Let p and q be variables with truth-values 0 or 1. Find logical expressions of p and q that represent binary addition and multiplication of their truth-value. Hint. Complete the following table, and treat it as a truth table. Then find expressions for sum, carry and product. b. 1 carry product 1 sum p. 1 1 1 1 Optional. There are two men. One of them is wearing a red shirt, and the other is wearing a blue shirt. The two men are named Andrew and Bob, but we do not know which is Andrew and which is Bob. The guy in the blue shirt says, “I am Andrew." The guy in the red shirt says, “I am Bob." If we know that at least one of them lied, then what color shirt is Andrew wearing?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:4. Let p and q be variables with truth-values 0 or 1. Find logical expressions of p
and q that represent binary addition and multiplication of their truth-value.
Hint. Complete the following table, and treat it as a truth table. Then find
expressions for sum, carry and product.
carry product
1
sum
1
1
1
1
1
Optional. There are two men. One of them is wearing a red shirt, and the other is
wearing a blue shirt. The two men are named Andrew and Bob, but we do not know
which is Andrew and which is Bob.
The guy in the blue shirt says, "I am Andrew."
The guy in the red shirt says, “I am Bob."
If we know that at least one of them lied, then what color shirt is Andrew wearing?
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