Consider a boolean function with input a, b, c, and d, this function is true with a=1 and the sum of b, c and d is odd. It is also true when a=0 and the sum of b, c, and d is 2.ad.Y1?1111?11?11?111?1?11?1?11?111?111?1111How many prime implicants does this function have: 1 v

Answered: Consider a boolean function with input…

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

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Write the function that takes three dimensions of a brick: height(a), width(b) and depth(c) and returns true if this brick can fit into a hole with the width (w) and height(h). Examples doesBrickFit(1, 1, 1, 1, 1) → true doesBrickFit(1, 2, 1, 1, 1) → true doesBrickFit(1, 2, 2, 1, 1) false Notes • You can turn the brick with any side towards the hole. • We assume that the brick fits if its sizes equal the ones of the hole (i.e. brick size should be less than or equal to the size of the hole, not strictly less). • You can't put a brick in at a non-orthogonal angle.
Implémenter la fonction booléenne suivante F= xy’ + x’y’ +yz a) En utilisant les portes ET, OU et des portes inverseur (NON) b) En utilisant les portes OU et des portes inverseur (NON) c) En utilisant les portes ET et des portes inverseur (NON) English: Implement the following Boolean function F= xy' + x'y' +yz a) Using AND, OR and inverter (NOT) gates b) Using OR gates and inverter gates (NOT) c) Using AND gates and inverter gates (NOT)
Implement the following Boolean function using a multiplexer. Use A, C and D as the select lines, where A is the MSB and D is the LSB. Answer the following questions. Include a systematic solution for you answer, if applicable.1. What is the output when A=0, B=1, C=1 and D=0?A. +5VB. 0VC. B’D. More than one of the choicesE. None 2. What is the output when A=0, B=1, C=0 and D=0?A. +5VB. 0VC. BD. More than one of the choicesE. None
2a. Classification task For the following two classes of observations (class cross and class circle), state and explain whether it is possible for a perceptron to learn the required output. + + + +
The correct representation of the function F(A, 8, C) shown in the figure below is: A B Select one: F= m3 + m4 + m5 None of the answers F= m2 + m5 + m6 F= M3 + M4 + M7 F=m1.m3.m6 F= MO.M1.M2.M5.M6 F= 1(2, 5, 7) F=E(0, 1,7)
A prime number is an integer greater than 1 that is evenly divisible by only 1 and itself. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, however, is not prime because it can be divided by 1, 2, 3, and 6. Write a Boolean function named isPrime, which takes an integer as an argument and returns true if the argument is a prime number, and false otherwise. Demonstrate the function in a complete program.
Write a function which returns “odd” or “even” for odd or even inputs, respectively. HINT: evenOrOdd(2) returns “even” and evenOrOdd (7) returns “odd”
Write a boolean-valued function is_even (num) that returns True if the given number num is even and False otherwise. Hint: An even number is exactly divisible by 2. The '%' operator should be useful here. For example: Test Result print(is_even (7)) False print(is_even(70)) True Answer: (penalty regime: 0, 10, 20, ... %) 1 | Precheck Check
If you implement the function F(A,B,C,D)= Sum m (3,4,6,11,12,13,14) using a 8-1 MUX then which of the input position will be equal to D : a. I1 & I6 b. only I5 c. I2 & I6 & I7 d. Only I7 e. None of the choices f. I1 & I5
Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of %3D %3D * fog is бх + 6 бх +9 бх + 7 бх + 8
Using a pseudo random number generation function (e.g., rand() in C or other equivalentfunctions in other languages) that generates uniformly distributed random numbers,write functions that generate the following:(a) uniformly distributed integers between 0 and 99. (b) uniformly distributed floating numbers between 0.25 and 0.5. (c) the number 1 with probability 0.5, the number 2 with probability 0.2, otherwise a floatuniformly distributed between 3 and 4.
Suppose the function X₂+1 = (ax₂ + c) mod m is used to generate pseudo random number. Assume: m=11₁a-6,c=2, xo=5, what are x₁, x2 and x3 ?

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