# 04 - Truth Tables and predicting output

1. Enter the missing value

2

0

1

3

2. Enter the missing value

2

3

1

0

3. Read the guidance on the below image. Given the below what would A+B.C mean?
`note: think about how you would process this equation. Would you do the + or the . first? Refer to what you learned in Maths: BODMAS or BIDMAS`

A and B and C

A not C not B

A or B and C

A or B or C

4. Enter the missing value

#4 1 #5 – 1 #6 -1

#4 1 #5 – 1 #6 -0

#4 1 #5 – 0 #6 -1

#4 0 #5 – 0 #6 -1

5. Enter the missing value

# 7 – 0 #8 - 1 #9 – 0

# 7 –1 #8 - 0 #9 – 1

# 7 – 1 #8 - 1 #9 –1

# 7 – 0 #8 - 0 #9 – 0

6. This is a truth table for:

p AND q

You can only have A and B so the letters p and q are not valid

p OR q

p NOT q

7. Spot the error
```p    q    NOT p   NOT q     p AND q     NOT(p AND q)
==================================================
T    T     F         T        T             F```

Not q should be removed altogether as it cannot be done

p AND q should be F

NOT q should be False

Not p should be T

8. Why is NOT(p AND q) False?
```p    q    NOT p   NOT q     p AND q     NOT(p AND q)
==================================================
T    T     F         T        T             F```

Because anything AND anything is always False

Because when you are dealing with a p and q input, the output will always be False if the input is either True or False

Because it is the inversion (opposite) of (p AND q) which is True.

It shouldn't be False - It should be true

9. Enter the missing value

3

2

0

1

10. Enter the missing value

#1 0 #2 1 #3 1,1

#1 0 #2 1 #3 0,0

#1 0 #2 0 #3 0,0

#1 1 #2 0 #3 1,1