'Consciousness' in the Bible

Otherwise, wouldn’t they have stopped being offered, since the worshipers, once purified, would no longer have any consciousness of sins?

For you showed sympathy and deep concern for those who were imprisoned, and you joyfully accepted the [unjust] seizure of your belongings and the confiscation of your property, conscious of the fact that you have a better possession and a lasting one [prepared for you in heaven].