A non$-$standard Hamming $(7,4)$ code places three check digits at the start of an encoding. Its encoding rule is that a message $($a$,$b$,$c$,$d$)$

becomes

$($b$+$c$+$d$,$a$+$b$+$d$,$a$+$b$+$c$,$a$,$b$,$c$,$d$)$

$.$

Select the matrix below that this non$-$standard Hamming code might be using.Answer for part a$)$

$100001010111101011110$

$010100001110011101111$

$010100001011101110111$

$100001010011111110101$

$100010001110111011101$

$001010100111011101110$