Converting English to Boolean Algebra

[Nyasha]

Homework Statement

An irrigation system should open sprinkler's water valve when if the system is enabled and neither raining nor freezing temperatures are detected.

Homework Equations

$$S\rightarrow$$ system enabled

$$R'\rightarrow$$ not raining

$$F'\rightarrow$$ freezing temperatures not detected

The Attempt at a Solution

F=S+R'F'

F=S+(RF)'

Guys l do not know if my Boolean equation is correct.

 

[Redbelly98]

What are V and N?

Note there are 3 conditions (S, R', and F'), all of which must be true.

 

[Nyasha]

What are V and N?

Note there are 3 conditions (S, R', and F'), all of which must be true.

It was actually supposed to be :


F=S+R'F'

F=S+(RF)'


So is this the correct equation ?

 

[LeeroyJenkins]

An irrigation system should open sprinkler's water valve = Z
when if
the system is enabled = A
and
neither raining = B'
nor freezing temperatures are detected. (same as or not freeze...) = C'
Z = AB' + C'
as defined above the and is multiplication, the or is addition
if it says not, neither or something like that its the compliment

 

[Nyasha]

An irrigation system should open sprinkler's water valve = Z
when if
the system is enabled = A
and
neither raining = B'
nor freezing temperatures are detected. (same as or not freeze...) = C'
Z = AB' + C'
as defined above the and is multiplication, the or is addition
if it says not, neither or something like that its the compliment

So does "nor" mean that l should add the addition operation ? Would this be correct:

Z=A(B'+C') ?

 

[Redbelly98]

So does "nor" mean that l should add the addition operation ? Would this be correct:

Z=A(B'+C') ?

I'm not sure if "+" means "and" or "or", so I'll just say it should be all and's, and no or's, in the statement.

I.e., there are 3 conditions A, B' and C', all of which must be true: A and B' and C'.

 

[Nyasha]

I'm not sure if "+" means "and" or "or", so I'll just say it should be all and's, and no or's, in the statement.

I.e., there are 3 conditions A, B' and C', all of which must be true: A and B' and C'.

Isn't the sprinkler's water valve supposed to open when system enabled and not raining or when the system is enabled and not freezing temperatures ?

F=A(B'+C')

F=AB'+AC'

"+" means or

"*" means and

' means NOT

 

[Redbelly98]

"neither raining nor freezing" means:

(Not raining) AND (Not freezing)​

which is equivalent to

Not (raining or freezing)​

 

[Nyasha]

"neither raining nor freezing" means:

(Not raining) AND (Not freezing)​

which is equivalent to

Not (raining or freezing)​

I know understand. You used Demorgan's law


B'C'=(B+C)'


Thanks very much for the help