For each of the following Boolean expressions, assume that x = 1, y = 2, z = 3, and decide if they are True or False. 1. NOT (x > y) AND (y = z) 2. (x > y) OR NOT (y = z) 3. ((y = z) AND (x < y)) OR (y < z) 4. (y = z) AND ((x < y) OR (y < z)) 5. NOT ((x > y) OR NOT (z < x))

For each of the following Boolean expressions, assume that x = 1, y = 2, z = 3, and decide if they are True or False. 1. NOT (x > y) AND (y = z) 2. (x > y) OR NOT (y = z) 3. ((y = z) AND (x < y)) OR (y < z) 4. (y = z) AND ((x < y) OR (y < z)) 5. NOT ((x > y) OR NOT (z < x))

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: 11. Given the following variables, determine whether each expression is True or False. a = 1 b = 5 c…

A: Here we have a = 1, b = 5, c = -1 and my_bool = false a. We are comparing the value using "and" so…

Q: Simplify the following expression using tabulation method ONLY: F(A,B,C) = A'B'C' + A'B'C + АВС +…

A: For more than 5 variable ,tabular method is used. K-map method, is used for minimizing Boolean…

Q: Write a program to evaluate the current I in the circuit and the voltage drop (V, and V,) on each…

A: Note: As the language is not given, the given code is in C++ language. Read the values of r1 and r2…

Q: Boolean expression: (A. 0) + (A.A')=

A: Given Boolean expression: (A. 0) + (A.A') For AND GATE if any of the input is 0 then output will be…

Q: Assume the variables a = 2, b = 4, and c = 6. state true or false. 6 <= c && a > 3

A: Result of the expression The given variables are a =2, b = 4 and c = 6. The given expression is 6…

Q: Design and write a VB program to find and print the value of (Y) from the following equations. √x +…

A: The VB code to find the value of Y from the given equations is as follows:

Q: Name four operators which return a Boolean result

A: Please find the answer below

Q: Is it possible for different Boolean expressions to have the same output? Why or why not?

A: Consider the given two statements. If you have 4 limbs, you are an animal. If you are not an animal,…

Q: create a c++ program: Given TWO SIDES and an OPPOSITE ANGLE, find the missing side and two missing…

A: Sine rule In order to find the missing sides of a triangle, we can apply sine rule.…

Q: Convert the following longhand Boolean statements into shorthand notation: • A OR B AND C • NOT D OR…

A: We are going to write shorthand notation for the given longhand boolean statements. I have answered…

Q: Every boolean expression evaluates to three results. O True O False

A: Lets see the solution in the next steps

Q: Assume the variables a = 2, b = 4, and c = 6. state true or false. 1 != b && c != 3

A: Result of the expression The given variables are a =2, b = 4 and c = 6. The given expression is “1…

Q: Reduce the following Boolean expressions to the indicatednumber of literals: a. x ′ z ′ + xyz + xz…

A: Boolean laws to reduce given boolean expressions: 1)Commutative : x+y = y+x, xy=yx 2)Distribution :…

Q: Using laws of logic, verify that the following statements p → (q ∨ r ) ≡ (p ∧ ∼q) →r

A: RULES USED: The rule of implication refers to that:A →B ≡~A ∨BThe rule of double negation:~(~A) ≡…

Q: The minimum number of states required to automate the following Regular Expression: (1) *(01+10) (1)…

A: The minimum number of states required to automate the following Regular Expression: (1) *(01+10) (1)…

Q: Assume the variables a = 2, b = 4, and c = 6. state true or false. a >= −1 || a <= b

A: Result of the expression The given variables are a = 2, b = 4 and c = 6. The given expression is “a…

Q: Simplify the following expression using tabulation method ONLY: F(A,B,C) = A'B'C' + A'B'C + AB'C +…

A: Given Boolean expression is F(A,B,C)=A'B'C'+A'B'C'+A'B'C'+A'B'C'+ABC Three variables A,B,C used…

Q: (a) Write a Boolean expression for |x 5| 4.5.

A: As per the concepts of algebra either < or <= Inequality, to get a range of values like | *|…

Q: true or false 1. Determine if the expression: ! (!(a>b) || ( a==c) || ( a>=b ) ) is True or False.…

A: 1) We have expression ! (!(a>b) || ( a==c) || ( a>=b ) ) 2) Values for a is 2, b is 10 and…

Q: Simply to minimum number of literals using Boolean Algebra. Answer both parts and show all steps.…

A: Here, we are given two Boolean functions and we are asked to simplify them using Boolean algebra. We…

Q: Given the initial statements s1 = [2,1,4,3] s2 = ['c','a','b'] show the result of evaluating each of…

A: s1 = [ 2,1,4,3] and s2 ['c','a','b'] We need to show the result when each of the given expression is…

Q: Give two structures for the following formula; one such that the truth value of the formula is F and…

A: Two structures for the given formula:

Q: C++ Programming double slope(point* other) Calculate the slope of this point and the other point.…

A: The question is writing c++ code to calculate the slope of this point and the other point.

Q: truth tables

A: a.S = NOT((A OR B) AND (NOT(A) OR NOT(B))) A B A OR B NOT(A) NOT(B) (NOT(A) OR NOT(B)) (A OR…

Q: Take a picture of the input and output Use an if-else statement to write a Matlab program that…

A: The answer is given below.

Q: Choose any two examples of arithmetic operators used in C++ a. &&,|| b. +,- c. None d.

A: ANSWER IS b addition subtraction

Q: Assume the variables a = 2, b = 4, and c = 6. state true or false. !(a > 2)

A: Result of the expression The given variables are a =2, b = 4 and c = 6. The given expression is…

Q: Write Boolean expressions that represent the given English expressions. Assume any variables used…

A: Ans:) The boolean expression equivalent to given statements is given below.

Q: 3.) Find the values of the following expressions in the computer language for a = -3, b = 8,c = 12,…

A: For use of pow(0 and sqrt() function we have to import #include<math.h> 1)Declare a, b, c, d,…

Q: If x has a value 1, y has a value 5, z has a value 2, What result of each of the following Boolean…

A: == operator is used to check if two values are equal || is a or operator it will give output as 1…

Q: Simplify the following Boolean expressions to a minimum number of literals: ( x + y ) ( x + y ′ )

A: Boolean rules: A+0=0 A+1=1 A.1=A A.0=0 A+A=A A.A=A A+A'=1 A.A'=0 A+B=B+A A.B=B.A

Q: 1. Given the initial statements s1 = [2,1,4,3] s2 = ['c','a','b'] show the result of evaluating each…

A: I give the output along with an explanation

Q: Convert the following non-computer mathematical expression into computer expressions.…

A: To convert the given non-computer mathematical expression into computer expressions. The given…

Q: State which values of the control variable x are printed by each of the following for statements:a)…

A: As you have asked the question which have multiple subparts we are answering first three. If you…

Q: Select the Boolean expression that is not equivalent to X.X +X.X' logical expression x. (x + x') x'…

A: X.X+X.X'=X(X+X') =X.1=X X.X+X.X'=(X+X').X X.X+X.X' is not equivalent to X' Therefore…

Q: Write an expression using boolean variables a and b that evaluates to true when only one of a and b…

A: Expression is a ^ b. R = a^b when a and b is true (only one of them) than it will true. other wise…

Q: Minimize the following Boolean expressions: 1. (b' + u') [(pc)' + u

A: Minimizing boolean expression is to reduce the complexity of the expression by simplifying the…

Q: Simplify the following Boolean expressions to a minimum number of literals: (а)* ху + ху" (c)* xyz…

Q: Determine if the expression: !( b>c ) || ( c<5 ) is True or False. Given the value of b is 10 and c…

A: Answer is given below-

Q: Write Boolean expressions in Python for these values: 1. x is a factor of y (that is, x divides…

A: For this we can use y%x == 0 TEST SCREENSHOT:

Q: The boolean expression "(not x and y and z) or (x and not y and not z) or (not x and y and not z) or…

A: The problem is based on solving the boolean expression when initial values of variables are given.

Q: write a Boolean expression that is valid if value of Boolean variable moon is “blue” or “Blue”.

A: Solution: A Boolean expression can be defined as the expression used in programming languages which…

Q: The simplest form for the Boolean expression (X+XY) is: Select one: a. (X+XY)(X+X') b. XX c.…

A: given, X + XY = X ( 1+ Y ) ; distributive law = X…

Q: Exercise #2 convert the following infix Algebraic expressions to pos (x+y) *z^(q - 3) * (x + z) •…

A: Given infix algebraic expressions into the postfix expression

Q: Simplify the following Boolean expressions to a minimum number of literals: a) XY + XY' b) (X+ Y)(X…

A: (a) xy+xy’ x[y+y’] take x as common x[1] [A+A’=1] x. Hence, the simplified…

Q: Write an expression using boolean variables a and b that evaluates to true when a and b are either…

A: The equivalent logic is a xnor b.

Question

Please answer in 20 minutes

For each of the following Boolean expressions, assume that x = 1, y = 2, z = 3, and decide if they are True or False.
1. NOT (x > y) AND (y = z)
2. (x > y) OR NOT (y = z)
3. ( (y = z) AND (x < y)) OR (y < z)
4. (y = z) AND ((x < y) OR (y < z))
5. NOT ((x > y) OR NOT (z < x))

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Fundamentals of Boolean Algebra and Digital Logics

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

For each Boolean expressions, indicate whether the expression is going to evaluate to True or False.
Determine the value, true or false, of each of the following Boolean expressions, assuming thatthe value of the variable count is 0 and the value of the variable limit is 10. Give your answer asone of the values true or false.(count == 0) || (limit < 20)count == 0 && limit > 20(limit < 20) || (count > 5)
1. The logical operator that both Boolean expressions have to be true for the overall Boolean expression to be true is . (Use symbol only) 2. The logical operator that both Boolean expressions have to be false for the overall Boolean expression to be false is . (Use symbol only)
1. Supposed a ball is thrown straight up in the air with an initial velocity of 50 feet per second and an initial height of 5 feet. How high will the ball be after 3 seconds? Note: The height after t seconds is given by the expression - 16t+vot+ho, where ve is the initial velocity and he is the initial height.
*2. Express the following Boolean expressions in simpler form; that is, use fewer operators. x is an in (d) !(x <= y)
Following is a list of some Boolean expressions. Carefully go through each one of them and determine whether they evaluate to true or false. Expression Answer A: ( (count == 0) && (limit < 20)) B: ( count == 0 && limit < 20 ) C: ( (limit > 12) || (count < 5) ) D: ( !(count == 5) ) E: ( (count == 1) && (x < y) ) F: ( (count < 10) || (x < y) ) G: ( !( ((count < 10) || (x < y)) && (count >= 0)) ) H: ( ((limit/count) > 7) || (limit < 20) ) I: ( (limit < 20) || ((limit/count)> 7) ) J: ( ((limit/count) > 7) && (limit < 0) ) K: ( (limit < 0) && (( limit/count) > 7) ) L: ( (5 && 7) + (!6) ) Now, create a file ex41.cpp and cut and paste the following program in it. Compile and run the program and see how well your answers to the above expressions match the program's output. // ex41.cpp - This program illustrates the Boolean expressions and the // order of precedence…
2. Express the following Boolean expressions in simpler form; that is, use fewer operators. x is an int (b) x < 2 || x == 2
A boolean value can be returned by a function. True False
Translate the statement into equation: When three is multiplied by one less than a number x, the result is 10 less than 5 times the number x.
Indicate whether the argument is valid or invalid. For valid arguments, prove that the argument is valid using a truth table. For invalid arguments, give truth values for the variables showing that the argument is not valid.
Provide an example of an arithmetic operator. A. - B. & C. += D. ||
Ques1 a) Draw the truth table for the boolean expression Y = A.B + A'.B'. b) Draw the truth table for the boolean expression Z = X'Y'Z' + XYZ.