The state of being discernable.

present participle of discern

Of keen insight or good judgement; perceptive.

discernment

One who, or that which, discerns, distinguishes, or judges.

In a discernible manner.

Alternative spelling of discernible

simple past tense and past participle of discern

(transitive) To detect with the senses, especially with the eyes. / (transitive) To perceive, recognize, or comprehend with the mind; to descry.

The ability to distinguish; judgement. / Discrimination. / The ability to distinguish between things. / The ability to perceive differences that exist. / The condition of understanding.