Given the following boolean variable values: x = true, y = true, z = false. Determine whether each expression is true (T) or false (F): 1) !(y || z) || x 2) z && x && y 3) !y || (z || x) 4) x || (x && z)
Computers and Technology · College · Thu Feb 04 2021
Answered on
Given the boolean variable values:
x=true,y=true,z=false
Let's evaluate each expression:
- ¬(y∣∣z)∣∣x
¬(y∣∣z)=¬(true∣∣false)=¬(true)=false
false∣∣x=false∣∣true=true
Answer: true
- z&&x&&y
z&&x&&y=false&&true&&true=false
Answer: false
- ¬y∣∣(z∣∣x)
¬y=¬true=false
z∣∣x=false∣∣true=true
false ∣∣ true=true
Answer: true
- x∣∣(x&&z)
x=true
x&&z=true&&false=false
x∣∣(x&&z)=true∣∣false=true
Answer: true
Therefore:
- ¬(y∣∣z)∣∣x is true
- z&&x&&y is false
- ¬y∣∣(z∣∣x) is true
- x∣∣(x&&z) is true