is my answer correct? 0 for the sign bit, 11111 for the exponent which is 2^-15 (since exponent is represented in signed magnitude) and then 100000000 for the mantissa since you need the 1 in that location as mantissa is normalized.

7. [5] A 15-bit floating point number has 1 bit for the sign of the number, 5 bits for the exponent and 9 bits for the mantissa (which is normalized). Numbers in the exponent are in signed magnitude representation. No bias is used and there are no implied bits. Show the representation for the smallest positive number this machine can represent SIGN EXPONENT MANTISSA