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pashok25 [27]
4 years ago
6

Can someone help me answer this please

Mathematics
2 answers:
Semmy [17]4 years ago
5 0
-3 • 3 = -9
-9 plus -5 = -14
Other side
-7 • -1 = 7
Rewrite problem
-14 divided by 7 = -2

(Positive • negative = negative)
(negative • negative = positive)
sveta [45]4 years ago
3 0

( - 14) \div 7 = ( - 2)
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Step-by-step explanation:

hello,

i advice you check the question again if it is GF(2^{4}) or GF(24). i believe the question should rather be in this form;

multiplication in GF(2^{4}): Compute A(x)B(x) mod P(x) = x^{4} + x+1, where A(x)=x^{2}+1, and B(x)=x^{3} + x+1.

i will solve the above question and i believe with this you will be able to solve any related problem.

A(x)B(x)=(x^{2} +1) (x^{3}+x+1) mod (x^{4}+x+1  ) = (x^{5} +x^{3}+x^{2}  ) + (x^{3}+x+1  ) mod (x^{4} + x+1 )

= x^{5}+2x^{3} +x^{2}  + x + 1 mod(x^{4}+x+1  )

=2x^{2} +1

please note that the division by the modulus above we used

\frac{x^{5}+2x^{3}+x^{2} +1  }{x^{4}+x+1}= x+\frac{2x^{3} +1}{x^{4}+x+1}

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Have a nice day.
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