Given that a floating-point number is represented in 2 bytes as follows:

Sign of mantissa (1 bit)

Exponent represented in 2s complement signed binary (3 bits)

Magnitude of mantissa (12 bits)

The conversion of (3A.BC)₁₆ to this representation gives us:

(You can assume that we don't need to add offset to the exponent part)

Please show full working and steps