I'm trying to understand binary floating point and using just a 4-bit mantissa and a 4-bit exponent (both 2s compliment) to keep things simple.
As far as I can tell, the largest denary number I can represent is 112: 0111 0111
So why do I have trouble representing denary 11 (eleven) in this system? I get that the largest (positive) mantissa is 7 in denary (0111). So I'm inferring that I can't represent consecutive positive integers between 0 and the maximum value of 112.
Is that correct? If so, can someone help me to see why please? Which numbers in this range can I represent?