P$1(30$ points$)$: Floating Point Register File. Consider the circuit below. This circuits iterates through a list of four floating point numbers stored in a register file and finds the sign, exponent, and mantissa portion of each number. A$)(10$ points$)$ The following four floating point numbers are currently stored in the register file. For each number find the values for sign, exponent, and mantissa. $($Ex: $3\mathrm{.}0,$ sign $=0,$ exponent $=100000002,$ mantissa $=100000000000000000000002.)$ a$.23$ b$.-127$ c$.-53$ d$.1\mathrm{.}6$ B$)(10$ points$)$ Use any number of $32-$bit registers, $2-$to$-4$ decoders, $32-$bit $4-$to$-1$ multiplexers, and any necessary gates to construct a register file that can store four floating point numbers. Use the following design for your $32-$bit registers. C$)(10$ points$)$ Implement a $2-$bit counter to iterate through all four values stored in the register file. a$.$ Use TFF to design the $2-$bit counter b$.$ Use DFF to implement the $2-$bit counter