I'm having difficulty with the following question:Given a bit pattern with mantissa $10110000$ and exponent $0111$, what  does the bit pattern represent in denary (i.e decimal / base 10)?I got the right answer(!) but the wrong (or alternative) work:Convert the exponent to denary: $0111$ is $7$Apply this exponent to the mantissa: $10110000\rightarrow1011000$ after shifting $7$ placesConvert the mantissa to denary: $1011000$ is $88$Set the sign: $-88$ (which is correct!)Using a different method, the mantissa $1.0110000$ is somehow deteremined to be $-11/16$ and then $-11/16 \times 2^7 = - 88$ (I understand this shift with the exponent). However, what I don't understand is:How do you convert 1.0101 (mantissa) to -11/16? Is this a standard way to do it?
Floating-Point Binary to Decimal
terminology;binary arithmetic