using demorgan law to change function to inv-nand

Question

we have :

F  =  A C'D' + B'C'

Use De’Morgan’s law to convert the NOT-AND-OR function to NOT-NAND function (with minimum number of gates). Show the conversion steps. Keep in mind that you have only NAND gates with fan-in = 2.

i did this but i feel its wrong

    (AC’).D’+B’C’
= (( (AC’).D’+  B’C’ )’)’ using involution law
= (   ((AC’).D’)’. (B’C’)’  )’

the question is really wierd i can draw it but i cant understand how to do it using demorgan

feelings don't count in logic; construct the truth table of each to convince yourself — Andrew, Nov 06 '22 at 09:16

score 0 · Answer 1 · answered Dec 22 '14 at 20:06

there is nothing wrong with it you used the involution law and then you used Demorgan's law in line 3 ,changing the OR into NAND

Involution Law: (p')'=p

demorgan law 1 : (A.B)' = A'+B'

            {NAND} = {Negative OR}

demorgan law 2:(A+B)'=A'.B'

           {NOR} ={Negative AND}

using demorgan law to change function to inv-nand

1 Answers1