Question

1.    Given the following values, evaluate the logical value of each expression.   [3 each]

int a = 3;

int b = 8;

int c = 3;

int d = 10;

              a.            b < c && c < d

              b.           !(a == c && c != d)

c.            !(d <= b) || (c > a)

d.           a == c || c == d

2.           Given the following values, evaluate the logical value of each expression.   [4 each]

int g = 6;

int h = 8;

int i = 6;

int j = 15;

              a.            (i == g || g < i) || j == h

      b.           h > j || g != i && i != h

Bonus.   How would the logical test of a ≤ b ≤ c be written in C++? [1]

Answer 1

Values for a, b,c ,d given as a = 3, b = 8, c = 3, d = 10;

solving each expression

1. b < c && c < d ==> Answer : false

   subex1 : b < c ==> 8 < 3 ==> false
   subex2 : c < d ==> 3 < 10 ==> true

expression : subex1 && subex2 == > false && true == > false

2. !(a == c && c != d)       ==> Answer : false

   subex1 : a == c ==> 3 == 3 ==> true
   subex2 : c != d ==> 3 != 10 ==> true
   subex3 : subex1 && subex2 ==> true

expression : ! subex3 ==> false

3. !(d <= b) || (c > a)       ==> Answer : true

   subex1 : d <= b ==> 10 <= 8 ==> false
   subex2 : c > a ==> 3 > 3 ==> false
   subex3 : subex1 !! subex2 ==> false

expression : ! subex3 ==> true

4. a == c || c == d           ==> Answer : true

   subex1 : a == c ==> 3 == 3 ==> true
   subex2 : c == d ==> 3 == 10 ==> false
  
expression : subex1 && subex2 == > true || false == > true

Values for g, h, i, j given as g = 6, h = 8, i = 6, j = 15;

1. (i == g || g < i) || j == h     == > Answer : true

subex1 : i == g ==> 6 == 6 ==> true
subex2 : g < i ==> 6 < 6 ==> false
subex3 : subex1 || subex2 == > true || false ==> true
subex4 : j == h ==> 15 == 8 ==> false

expression : subex3 || subex4 ==> true || false ==> true

2. h > j || g != i && i != h       ==> Answer : false

subex1 : h > j    ==> 8 > 15 ==> false
subex2 : g != i ==> 6 != 6 ==> false
subex3 : i != h   ==> 6 != 8 ==> true

expression : subex1 || subex2 && subex3 ==> false || false && true ==> false

C++ Code for logical test pf a ≤ b ≤ c is as follows

// include iostream
#include <iostream>

// main to execute dode
int main() {
    
    // initialization of a, b, c, d
    int a = 3;
    int b = 8;
    int c = 3;
    int d = 10;
    
    // given express
    bool value = (a <= b <= c);
    // str will be "true" if value is 1 otherwise it will be "false"
    std::string str = (value ? "true" : "false");
    // print value
    std::cout << " logical value of (a <= b <= c) expression : " << str;

    return 0;
}