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wolverine [178]
3 years ago
15

Plot on a number line 8 2/5 away from 2 3/4

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0
First, draw the number line and assign the values of the real numbers that correspond (See the figure attached).
  Now, let's represent the mixed numbers given in the problem.

 Let's start with 8 2/5: This mixed number is located between 8 and 9. The numerator 2 of the fractional part, tells us how far from 8 it will be located  and the denominator 5 indicates how many parts we must divide the space between these two numbers (8 and 9). 

 Now, to plot 2 3/4 on the number line, we have to follow the same proccedure: It is located between the numbers 2 and 3. The numerator 3 of the fractional part, tells us how far from 2 it will be located  and the denominator 4 indicates how many parts we must divide the space between 2 and 3.

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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  )

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please note that the division by the modulus above we used

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