Recent questions tagged functional-completeness

A Boolean operator $\odot$ is defined by the following truth table:\[\begin{array}{|c|c|c|}\hlineA & B & A \odot B \\\hline0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0 \\1 & 1 & 0\\...

A set of Boolean operations is called functionally complete if:It contains only AND and OR gates It can be used to express every Boolean function It contains XOR operatio...

In GATE, I have seen a lot of questions where we are asked to check whether a set of operations is functionally complete or not.I know Functionally Complete and Partially...

Show that $\{1,A \bar{B}\}$ is functionality complete, i.e., any Boolean function with variables $A$ and $B$ can be expressed using these two primitives.

F(x, y, z) =x + y'z' It's functionally complete according to normal procedure to implement NOT & OR or AND from it. But from this short trick.https://www.google.co.in/amp...

Which of the following set of components is sufficient to implement any arbitrary Boolean function?$XOR$ gates, $NOT$ gates$AND$ gates, $XOR$ gates and $1$$2$ to $1$ mult...

Consider the operations defined as f(X, Y, Z) = X'YZ + XY' + Y'Z' and g(X′, Y, Z) = X′YZ + X′YZ′ + XY .Iam following this method, A function is said to be complete if ...

my doubt- I got first one not functionally complete but its partially complete because its use 0 for make a NOT gate please check

All digital circuits can be realized using onlyEx-OR gatesAND, OR gatesHalf-addersOR gates

A set of Boolean connectives is known as functionally complete if all Boolean functions can be Synthesized using those. Which of the following sets of connectives is not ...