00:00Duality theorem
00:02Duality theorem can be defined by the duality theorem
00:06According to the duality theorem
00:08Boolean relation can be written to another Boolean relation
00:13Let's do a method by changing each war operator to hand operator
00:20War operator can be hand operator to change
00:24Changing each hand operator to war operator
00:28Then complementing any 0 or 1 appearing in the expression
00:36This is why 0 and 1 we complement
00:40Theorem is the most important theorem
00:46D-Morgan's Theorem
00:48D-Morgan's Theorem
00:50D-Morgan's Theorem
00:52Data type
00:54The complement of a product is equal to the sum of the complement
01:00A into B
01:02A complement
01:04Prime
01:06The complement of a product is equal
01:08A-B complement
01:10A into B
01:12A product into B product of complement
01:14A-B
01:24A-B
01:26A-B
01:28A-B
01:30A-B
01:32A-B
01:34A-B
01:50A-B
01:52A-B
01:54A-B
01:56A
02:05A-B
02:06A
02:07tied to a
02:08x
02:10plus a
02:11X
02:13So we will write x into 1 is equal to x.
02:16So we will write x into 1.
02:22And x means x plus x.
02:26This is x plus x.
02:28So we will write x plus x.
02:32And 1 is equal to 1.
02:34Then second theory will be.
02:36x plus x prime is equal to 1.
02:44We will write x plus x prime.
02:47We will write x plus x prime.
02:52And x plus x is equal to 1.
02:55Then we will write x plus y into x plus z is equal to x plus yz.
03:03So suppose x is equal to y into x plus x prime is equal to x plus yz.
03:13So we will write x plus y means x.
03:19And x means x prime.
03:22Then x into x prime is equal to 0.
03:25So 0 we will apply x.
03:28Then we will write x.
03:31Because I am going to write x plus 0.
03:33And x means x plus x is equal to x.
03:35So y means x is equal to 0.
03:38So the answer is x.
03:40So finally the answer will be x.
03:43So we will write x.
03:44And x plus x is equal to x.
03:48So we will write x plus x is equal to x.
03:50So we will write x.
03:52You
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