Following Along Async Tutoring [Dface]

[Dface]

@Elliot

ok can you figure out an expression which gives all the correct outputs for this table?

Expression:
and(x,not(y))

x	y	and(x,not(y))
1	1	0
1	0	1
0	1	0
0	0	0

I was answering with expressions for all the rows of the table til i remembered this:

@Elliot

Say the inputs you want to be true are x=1, y=0 and you want an expression that is only true for those inputs.

Then the expression you need is: x & !y

That’s an example of how to answer this:

So how do you create an expression that is true if and only if one specific set of inputs is provided?

One expression is enough

@Elliot

yes. ok now try to make an expression for this table. 10min max.

Or(and(x,y), and(x,not(y)))

x	y	Or(and(x,y), and(x,not(y)))
1	1	1
1	0	1
0	1	0
0	0	0

@Elliot

ok what about an expression for:

Or(and(x,y), and(not(x),y), and(not(x),not(y)))

x	y	Or(and(x,y), and(not(x),y), and(not(x),not(y)))
1	1	1
1	0	0
0	1	1
0	0	1

@Elliot

So any idea how to do this for any truth table?

Yeah use and, or, not to express a row with a true output. If there’s more than one expression combine them with OR. I think u can express a false output if u wanted instead.