Computers and Technology, 10.03.2020 01:58 brae72

Assume that the Boolean circuit satisfiability program works in linear time Θ(m), where m is the number of gates and/or wires in the Boolean circuit. How fast can you determine if a formula with n connectives is satisfiable? Justify.

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Answer from: Lions8457

An example of the boolean circuit is attached below

Explanation:

A boolean formula can be expressed with some information which are as follows:

· Number of input and output

· Number of gates

The input wires can be expressed as input boolean variables. The output decision of both circuit evaluation and boolean formula evaluation will be same.

Since the circuit evaluation can be done in the linear time Θ(n). Thus, the boolean formula of size n can also be evaluated in the linear time Θ(n).

For example: The following boolean circuit will be evaluated as follows:

The AND operation of input wires a1 and a2 will be the result of output wire o1. Similarly, its boolean formula can be expressed as follows:

01 = a1 ∧ a2

The boolean circuit and boolean formula will take same time for their respective evaluations. The time taken to evaluate a circuit depends upon the number of gates/ or wires. The time taken to evaluate a boolean formula depends upon the number of connectivities or wires.

Since both implementations depends upon the number of connections in the circuit. Thus, a boolean formula of size n will be evaluated in the same time i.e., Θ(n) as of the boolean circuit.

Assume that the Boolean circuit satisfiability program works in linear time Θ(m), where m is the num

Answer from: Quest

well cos like a ds it doesn't really die out, unlike for example, fifa, they always come out with a new version, so lets say your fifa 18 is charging you to update the teams and stuff, so, if messi were to go to real madrid (never gonna happen) it would switch messi to the other team, until the owners of fifa come out with fifa 19, then the game would eventually stop updating, and back to the ds, it doesn't really stop working after sometime because there's lots of things that it could be used for, and idk if u know what i'm saying, but long story short, samsung, represents the ds, if they still work, and people love them but not the new version, the old version still works, so they don't really force people to buy new phones, get me?

Answer from: Quest

The answer is d) all of the above

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