Question

1) (1 v 1) v (1 v 0)= 2)(((1 v 0) v 1) v 1) 3) (0 & 1) & 1= 4) 1 & (1 & 1) & 1= 5) ((1 v 0) & (1 & 1) & (0 v 1)=

Answer 1

1. 1+1=1

2. 1+1+1=1

3.0*1=0

4.1*1*1=1

5. 1*1*1=1

Answer 2

Let's evaluate each of these logical expressions step by step:

1. (1 v 1) v (1 v 0)

Step 1: Solve the innermost parentheses first. 1 v 0 = 1 (because any number ORed with 0 is the number itself)

Step 2: Substitute the result into the original expression. (1 v 1) v 1 = 1 v 1 = 1 (because any number ORed with 1 is always 1)

Answer: 1

2. (((1 v 0) v 1) v 1)

Step 1: Solve the innermost parentheses first. 1 v 0 = 1

Step 2: Substitute the result into the expression. ((1 v 0) v 1) = (1 v 1) = 1

Step 3: Substitute the result into the expression again. (((1 v 0) v 1) v 1) = (1 v 1) = 1

Answer: 1

3. (0 & 1) & 1

Step 1: Perform the AND operation inside the parentheses. 0 & 1 = 0 (because any number ANDed with 0 is always 0)

Step 2: Perform the AND operation with the remaining value and the last 1. 0 & 1 = 0

Answer: 0

4. 1 & (1 & 1) & 1

Step 1: Perform the AND operation inside the inner parentheses. 1 & 1 = 1 (because any number ANDed with 1 is the number itself)

Step 2: Perform the AND operation with the remaining values and the last 1. 1 & 1 = 1

Answer: 1

5. ((1 v 0) & (1 & 1) & (0 v 1))

Step 1: Solve the innermost parentheses first. 1 v 0 = 1

Step 2: Perform the AND operation inside the parentheses. 1 & 1 = 1

Step 3: Solve the last set of parentheses. 0 v 1 = 1 (because any number ORed with 1 is always 1)

Step 4: Perform the AND operation with the remaining values. 1 & 1 & 1 = 1 (since any number ANDed with 1 is the number itself)

Answer: 1

To summarize the results:

1. (1 v 1) v (1 v 0) = 1
2. (((1 v 0) v 1) v 1) = 1
3. (0 & 1) & 1 = 0
4. 1 & (1 & 1) & 1 = 1
5. ((1 v 0) & (1 & 1) & (0 v 1)) = 1