That's not even the same question at all.
If you need to distinguish between 16 arbitrary states of a variable (gallons in your gas tank), it takes four bits.
That's what I've been saying, you can't squeeze 4 bits worth of data into 1 bit. Nice try. If a 1 state means read the bible and a 0 state means read the Satanic Bible, the bit is still only a bit. You somehow believe you have stored the two books in the bit.
You can. I just showed you how. It can 4 bits or 16 bits or 100 kilobytes.
You just can't store 4-bits of arbitrary data in 1 bit.
Can't you see the difference between those two statements?
Nice try.
Read it again and think about it. Or look it up for yourself.
If a 1 state means read the bible and a 0 state means read the Satanic Bible, the bit is still only a bit. You somehow believe you have stored the two books in the bit.
No, you have stored the information in that bit AND the decoding algorithm. The statement would be equally true if your states were 0) the complete text of the Bible or 1) the complete text of the Bhagavadgîtâ.