$(1)$ Design an adder for adding $2$ floating point numbers $($X$+$Y$)$ where each number has a mantissa and exponent.

Show the high level design; your design should account for the ADD and SHIFT operations.

For example ADD: $[10101101]\mathrm{.}25+[00101110]\mathrm{.}27$

$1-$ Equate the exponents in both numbers; reduce the exp of the $2$nd number: $[10111000]\mathrm{.}25$

$2-$ Add the two numbers $($the binary numbers$)$; and use the modified exponent $(5).$

$(2)$ For the $8$ bit binary adder provide a design with $2$ adders, each is a $4-$bit adder. For the $4-$bit adder use a carry$-$lookahead adder design; and use a ripple carry from the first adder into the next adder.