00:01
Hi, in this question we have to derive the full ladder using basic gates.
00:06
So here we are given with inputs a, b, c, sum and carry.
00:13
So here it's 00, 0, 00, so then 001, 10, then 010, 10, then 011 and 01 and then we have 10010 and we have 101 and 110 and 111.
00:38
So here we have sum is 01, 01 and 11.
00:44
So this is the truth table.
00:46
So this is the k -map for the given problem.
00:48
So here we have sum is given by a plus b plus c in and we have carry is given by, so it is a b plus b c in plus a c in.
01:01
Now we have, so the circuit is given by, so here we can use xor gate.
01:08
So xor gate, so xor gate.
01:14
So here we have a, b and here we have a plus of b and c in and here we have a plus b plus c in and this is sum.
01:28
Then we have the gate for carry.
01:30
So here we have and gate.
01:32
So and gate of a, b.
01:36
So this is a, b.
01:37
Then we have b and c in.
01:40
So here we have another and gate, b and c in...