Convert the following binary numbers to hexadecimal without converting into decimal:

$($a$)1011100000010000$

$($b$)1010010000111100$

Convert the following hexadecimal numbers to binary without converting into decimal:

$($a$)05CD6$

$($b$)02BCD$

Calculate the $2\text{'}$s complement of each of the following numbers:

$($a$)10000101$

$($b$)10011101$