Question

Boolean Algebra,


Convert X = (A + B)(A + B + C) to standard form.

Answer 1

what you need help on

Answer 2

The steps for converting it, I know the answer but i dont know the steps to it

Answer 3

Whenever you want to convert standard form ax + by = c to slope-intercept form, y = mx + b, what you essentially want is to solve for y.

In your example:

2x + 5y = 10

Begin by subtracting 2x from both sides of the equation.

2x-2x + 5y = 10 - 2x

5y = 10-2x

Now, divide by the coefficient of y, in this case, 5.

5y/5 = 10/5 -2x/5

y = 2 - (2/5)x

To put this in proper form, write the terms in descending order, x term before constant:

y = - (2/5)x + 2

Answer 4

the answer is y = - (2/5)x + 2

Answer 5

Dude that's Boolean algebra it is based on a number system with base "2" , it is totally different from normal algebra.. :P

Answer 6

yea lol

Answer 7

give me best response

Answer 8

oki I will once I receive it

Answer 9

what is standard form, any example ?

Answer 10

http://screencast.com/t/dh8G5J1jMs1C

Answer 11

all the domains have the same variables

Answer 12

so, you should have mentioned that you need POS standard form....
because POS and SOP forms are both standard and they are different.

Answer 13

in this case you add a number that is equal to 0 in boolean algebra just to play with some rules but its messed up

Answer 14

X = (A + B)(A + B + C) is already POS

Answer 15

its POS but not standard POS, because standard POS contains all the variables in each term.

Answer 16

so, you need to add the term C ,
but you can't just add ti
so, we use the fact that CC'=0
and since adding 0 doesnot change anything, we can add it without altering the given equation

Answer 17

i think rule 12 there would have stated this more clearly...

Answer 18

then you just apply this standard boolean identity
\(\large (x+yz)=(x+y)(x+z)\)

Answer 19

ok and??

Answer 20

so, (A'+B') = (A'+B'+CC') =... ?

Answer 21

treat x=A'+B'
y=C
z=C'

Answer 22

You gave me a good clue thanks!

Answer 23

welcome ^_^