d$.(12$ points$)$ Suppose we want to transmit the message $1101100101011001$ and protect it from

errors using the CRC generator g$($x$)=$ x$^7+$ x$^3+1.$

i$.$ What is the CRC generator bit sequence? $($The CRC generator polynomial, g$($x$),$ represented

in a bit sequence$)$

ii$.$ How many bits will be in the resulting frame check sequence $($aka the CRC code$)?$

iii. Use long division to calculate the CRC code. $($show your work, i$.$e$.,$ all rows of the long

division$)$

iv$.$ Determine the transmitted bit sequence.