$2[15$ points$]$ Determine the LFSR$$s output for the next two bytes.

$3[10$ points$]$ Determine the LFSR$$s degree of polynomial and initial value.

$4[25$ points$]$ Determine the LFSR$$s polynomial $-$ show your work, you will need

extra paper.

$5[10$ points$]$ Draw the LFSR $($circuit diagram$).$

You are able to place a probe at the output of a Linear Feedback Shift Register $($LFSR$)$ and observe

the first $128$ bits of output.

Table $1$: Input Table Format

Bit

Byte $12345678$

$0$x$001001110$

$0$x$100101111$

$0$x$200101000$

$0$x$311000010$

$0$x$400001111$

$0$x$511010101$

$0$x$610011011$

$0$x$710110100$

$0$x$810011100$

$0$x$901011110$

$0$xA $01010001$

$0$xB $10000100$

$0$xC $00011111$

$0$xD $10101011$

$0$xE $00110111$

$0$xF $01101001$

Table $2$: $128$ Bits Output Vector Format

$010011100010111100101000110000100000111111010101$

$100110111011010010011100010111100101000110000100$

$00011111101010110011011101101001$