Writing a new programming language

Hello /tech/, I'm conceptualizing a new programming language. I plan to impliment it in C, as it shares similarities with it. Do you think C is a powerful enough language to build a fully featured one on top of it? A better question, what language was C written in?

Thank you for your insights.

the first C was written in ASM
then they used that C to write better C

[quote]what language was C written in?[/quote]
great question, seeing as c is a single-implementation language with only one compiler