* The doctor gave me some advice, but I only took a little. (Advice is uncountable, little is binary)
* She had a lot of information, but she only shared a bit with me. (Information is uncountable, bit is binary)
* There was a great deal of progress, but only a small amount of it was visible. (Progress is uncountable, amount is binary)
* He was a good teacher, but he only had a few students. (Teacher is binary, students is countable, but the sentence structure implies a small amount)
* We had a lot of fun, but there was a lot of noise. (Fun is uncountable, noise is uncountable, but the sentence structure implies a binary amount of noise)
Explanation:
* Uncountable nouns refer to things that cannot be counted individually, such as advice, information, progress, or fun.
* Binary nouns refer to things that come in pairs, such as a little/a lot, a bit/a great deal, a few/a lot. These are often used to express the degree of something.
These sentences use the binary nouns to quantify the uncountable nouns, highlighting the amount or extent of the uncountable noun.