The conscious mind
This is the part of the mind responsible for analytical and logical thought. It monitors incoming information and decides how to react to it. The conscious mind tells us what is right and what is wrong.
The conscious mind protects the unconscious mind from information that it believes to be incorrect or harmful. Your conscious mind’s beliefs and morals come from your upbringing and life experience. For instance, if you have in some way been led to believe that you were ugly, your conscious mind would reject any suggestion to the contrary and this information would never be absorbed into the unconscious mind as a core belief.
The unconscious (subconscious) mind
The unconscious or subconscious mind is the part of the mind where memories are held and learnt lessons are stored. It is creative and unlimited.
Do you remember when you were learning to ride a bike and you really had to think about it? Your conscious mind was in control then, telling your body to make your legs pedal and your hands to steer the handle bars. But eventually the process became second nature, no longer requiring conscious input unless, for example, someone walked into your path. So once the process was learnt, riding a bike became an unconscious process.
Under hypnosis, suggestions are made directly to the unconscious mind so that the conscious mind cannot reject them.