## anima 3 years ago Rewrite the expression xy+z' in terms of bar and the NAND operation

1. anima

|dw:1334734679026:dw|

2. anima

this is the NAND operation for the que above...please someone help

3. dumbcow

not sure what "bar" represents is this boolean algebra ?

4. anima

if z=1,then z'=0

5. Romero

Can you rewrite it again.

6. arcticf0x

One way could be, to draw it out, convert into NAND equivalents and form the equations.

7. dumbcow

im stuck of course you could be fancy and negate the NAND resulting in original AND operation --> xy +z' = [(xy)']' +z'

8. arcticf0x

I got xy(bar).z(whole bar), sorry i dont know how to put that in latex.

9. dumbcow

arctic is that NAND(x,y) and z' ? it wont work for all values of 1 x=y=z=1 yields xy+z' = 1 (xy)'z' = 0

10. arcticf0x

noh |dw:1334738031932:dw|

11. anima

how did u get this?

12. dumbcow

ahh i see, yes that would work :) good job

13. arcticf0x

@anima Do you know what are NAND equivalents for NOT, AND and OR gates?

14. arcticf0x

If you dont, check this http://en.wikipedia.org/wiki/NAND_logic Then substitute all the NAND forms given to you, then form the expression again. You will yield this.

15. arcticf0x

Another simpler way would be using, Boolean algebra and De Morgan's laws.

16. anima

ya Thanx a lot!!!