Consider floating point formats Format$-1$ with

$8$ total bits

$1$ bit for the sign

$3$ bits for the exponent

a bias of $3$

$4$ bits for the mantissa

denormal encodings included

and Format$-2$ with

$11$ total bits

$1$ bit for the sign

$4$ bits for the exponent

a bias of $7$

$6$ bits for the mantissa

denormal encodings included

Convert $0x3f$ from Format$-1$ to its corresponding representation in Format$-2.$

Your answer should be $a(n)3$ digit hexadecimal value, with no prefix.

$3f=$