The image provides a table of expressions and answers, with the following variables declared:

• boolean expr1 = 23 >= 12, which evaluates to true since 23 is greater than or equal to 12.
• boolean expr2 = 53 <= 45, which evaluates to false since 53 is not less than or equal to 45.
• int grade = 80
• int score = 49
• double celsius = 32.22

Now, let's evaluate each expression:

a. expr1 && expr2 || expr1 ^ expr2

• expr1 && expr2: true && false = false
• expr1 ^ expr2: true ^ false = true (XOR)
• false || true = true

Answer: true

b. (!expr2 != expr2) && expr2 || 15 != 3 * 5

• !expr2: !false = true
• !expr2 != expr2: true != false = true
• (true) && expr2: true && false = false
• 15 != 3 * 5: 15 != 15 = false
• false || false = false

Answer: false

c. 9 != -9 ^ 7 < 9 - 2 && (!expr1 || expr2)

• 9 != -9: true
• 7 < 9 - 2: 7 < 7 = false
• 9 != -9 ^ false: true ^ false = true
• !expr1: !true = false
• !expr1 || expr2: false || false = false
• true && false = false

Answer: false

d. expr1 ^ !expr2 || !true && 23 > 3 * 2

• expr1 ^ !expr2: true ^ true = false
• !true: false
• 23 > 3 * 2: 23 > 6 = true
• false || false && true: false || false = false

Answer: false

e. expr1 || 34 <= 12 * 3 && (26 > 2 * 12.5)

• expr1: true
• 34 <= 12 * 3: 34 <= 36 = true
• 26 > 2 * 12.5: 26 > 25 = true
• true && true: true
• true || true = true

Answer: true

f. !(expr1 ^ !true) || (expr2 && !false)

• !true: false
• expr1 ^ false: true ^ false = true
• !(true): false
• !false: true
• expr2 && true: false && true = false
• false || false = false

Answer: false

g. (celsius >= 26) && (celsius <= 37) ^ true

• celsius >= 26: 32.22 >= 26 = true
• celsius <= 37: 32.22 <= 37 = true
• true ^ true: false
• true && false = false

Answer: false

h. (score > 50) && (score < 100) || !(true)

• score > 50: 49 > 50 = false
• score < 100: 49 < 100 = true
• false && true: false
• !(true): false
• false || false = false

Answer: false

i. (grade >= 75) && (expr1 || grade < 75)

• grade >= 75: 80 >= 75 = true
• grade < 75: 80 < 75 = false
• expr1 || false: true || false = true
• true && true = true

Answer: true

j. 14 * 2 > 28 && expr1 || expr2 ^ (12 > 13)

• 14 * 2 > 28: 28 > 28 = false
• expr1: true
• false && true: false
• 12 > 13: false
• expr2 ^ false: false ^ false = false
• false || false = false

Answer: false

Would you like more details on any of these steps?

5 Follow-up Questions:

1. How does XOR (^) work in Boolean logic?
2. Can you explain the difference between logical AND (&&) and logical OR (||)?
3. Why does the expression expr1 || true always evaluate to true?
4. In expression (g), why does the result change when using XOR (^) with true?
5. What is the role of parentheses in expressions to determine the order of operations?

Tip:

When solving complex Boolean expressions, remember that operations inside parentheses are evaluated first, and the precedence order follows this: ! (NOT), ^ (XOR), && (AND), then || (OR).