Good day . I have a problem with understanding the Canonical form of sum and product, and with reducing it to this form. The definitions given in my book are hardly legible and written in scientific language. when it comes to solving some, for example, 3 input, I can't I would like to understand it on a peasant's mind and not have problems applying it to any example I have to solve. Have a nice day to all electronics and electronics and I hope that one of the specialists could explain it to me
The canonical figures are simply either the sum of products or the product of sums. In the first case, for each combination of inputs that is to give the output one, you write down the product of the states of the inputs and their negation for a given combination so that it becomes 1, for example:
so where the input variable is 0 then you take its negation, and if 1 is no negation.
To the canonical form of the sum you take all products that give output 1 according to the function you are looking for.
In the canonical form of the product, where the output function is supposed to be 0, you take the sums of the input variables, so that the given sum equals 0, for a given combination of input states. Only it should be remembered that here we deal with negations in the opposite way than in the previous case.
Good morning Paul It didn't really help me because I meant to minimize logical functions and canonical form, and how to design some working digital circuits using canonical form. Flip-flops, registers And how this character looks like does not tell me much, in textbooks they kind of shorten these canonical characters, but they write use the theorem to this and that, but as I have my reason to guess that this particular transformation, such as a given function, is a bit different . Or they will write, take, add variables that do not appear on the right side, but how do I know what is not there:)