# Is \$x\$ in the working range [3,2]?

Consider $$x$$ = $$(0.1001)_b$$ and $$F$$[3,2]. ($$F$$[3,2] is the set of all floating point numbers with 3 digits in the mantissa and 2 digits in the exponent.)

The question is $$x$$ in the working range [3,2]?

I am quite confused does $$F$$[3,2] mean $$(0.111)_b$$ x $$2^{11}$$ = $$(111)_b$$?