Question

how to set up a truth table with three variables?

Answer 1

2^3 rows

Answer 2

Let me know if you need more help

Answer 3

yes. but how does the T and F look like?

Answer 4

Do all possible combinations

Answer 5

you have to list all possibilites

Answer 6

T,T,T
T,T,F
T,F,F,
T,F,T
F,F,F
and so on

Answer 7

TTT
TTF
TFF
TFT
FFF
FFT
FTT
FTF

Answer 8

hmm....

Answer 9

buffering....

Answer 10

?

Answer 11

is there any pattern? or are those randomly arranged?

Answer 12

i can see the first column is organized though

Answer 13

1. toggle the right most variable in every row

Answer 14

toggle?

Answer 15

2. toggle the middle variable every 2 rows

toggle : T->F or F->T

Answer 16

3. toggle the left most variable every 4 rows

Answer 17

Just have to make sure all of your cases are represented

Answer 18

will you please elaborate what these "toggle" words that keep popping out on every first word of each step?

Answer 19

toggle means, if the previous state of a variable is T, change it to F

Answer 20

what does it mean in video games then?

Answer 21

if the previous state of variable is F, change it to T

Answer 22

hmm i see

Answer 23

sometime i get to draw a truthtable with 5-6 variables... this trick helps me

Answer 24

32 rows, 64 rows... that gets pretty long... but sometimes we have to do it painfully..

Answer 25

so in four variables

T F T F
T F T F
T T F F
T T F F
T F T F
T F T F
T T F F
T T F F
F F T T
F F T T
F T F T
F T F T
F F T T
F F T T
F T F T
F T F T

lol

Answer 26

looks perfect !

Answer 27

i doubt you read that....

Answer 28

hey but check the 3rd column is it incomplete or what

Answer 29

3rd column from right side

Answer 30

you toggling it every 2 rows, u should toggle it every 4 rows

Answer 31

wait...i think i may have an idea....

Answer 32

start with TTTT

Answer 33

I would start a truth table with 4 variables this way:
(We will need 2^4=16 rows)

TTTT FFFF
TTTF FFFT
TTFF FFTT
TTFT FFTF
TFTT FTFF
TFTF FTFT
TFFF FTTT
TFFT FTTF


I wrote it like this to show for my last 8 rows I just replaced my T's with F's and my F's with T's that I had in the 1st 8 rows.

I said okay also I'm gonna start with 8 T's and 8 F's pattern
Then second column I did 8/2 T's and 8/2 F's pattern
Third colmn I did 4/2 T's and 4/2 F's pattern
And fourth column I did 2/2 T's and 2/2 F's pattern


Does that make sense?

Answer 34

i see...

Answer 35

Like look at the "first column" which is the first 8 rows first

Answer 36

And use what I said

Answer 37

i do like this usually : 4 variables => 16 rows

1) last column : toggle every row
T
F
T
F
T
F
T
F
T
F
T
F
T
F
T
F

Answer 38

2) 2nd column from right : toggle every 2 rows
TT
TF
FT
FF
TT
TF
FT
FF
TT
TF
FT
FF
TT
TF
FT
FF

Answer 39

3) 3rd columnn from right : toggle every 4 rows

TTT
TTF
TFT
TFF
FTT
FTF
FFT
FFF
TTT
TTF
TFT
TFF
FTT
FTF
FFT
FFF

Answer 40

4) 4th column from right : toggle every 8 rows

TTTT
TTTF
TTFT
TTFF
TFTT
TFTF
TFFT
TFFF
FTTT
FTTF
FTFT
FTFF
FFTT
FFTF
FFFT
FFFF

Answer 41

so for 5 variables

T T T T T
T T T T F
T T T F T
T T T F F
T T F T T
T T F T F
T T F F T
T T F F F
T F T T T
T F T T F
T F T F T
T F T F F
T F F T T
T F F T F
T F F F T
T F F F F

F F F F F
F F F F T
F F F T F
F F F T T
F F T F F
F F T F T
F F T T F
F F T T T
F T F F F
F T F F T
F T F T F
F T F T T
F T T F F
F T T F T
F T T T F
F T T T T

looks wrong,,,?

Answer 42

looks correct but u shouldnt have flipped the second section

Answer 43

@myininaya 's directions....

Answer 44

if you're showing first rows as TTTTT, you must show last row as FFFFF

Answer 45

same shiz

Answer 46

u can work out using any directions, but the general way we represent truth tables is common everywhere

Answer 47

order of the first column doesn't matter right?

Answer 48

what is order ?

Answer 49

@myininaya 's method is very efficient..i must say

Answer 50

individual opinion.. i find the method i use is very effecient

Answer 51

"toggle" confuses me

Answer 52

i get u :) 'toggle' is industry word.. idk if they use in academic... .