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Quiz 1
Solution
Q.1.
(6x2 + x + 3)x(5x2 +in Z_=
a) x3 + 2x + 6
b) 5x3 + 7x2 + 2x + 6
c) x3 + 7x2 + 2x + 6
d) None of the mentioned
Q.2.
Is x3 + 1 reducible over GF(2)
a) Yes
b) No
c) Can’t Say
d) Insufficient Data
Q.3.
Is x3 + x2 + 1 reducible over GF(2)
a) Yes
b) No
c) Can’t Say
d) Insufficient Data
Q.4.
Is x4 + 1 reducible over GF(2)
a) Yes
b) No
c) Can’t Say
d) Insufficient Data
Q.5.
The result of (x2 ⊗ P), and the result of (x ⊗ (x ⊗ P)) are the same, where P is a polynomial.
a) True
b) False
Q.6.
The GCD of xx + 1 and x2 + x + 1 over GF(is
a) 1
b) x + 1
c) x2
d) x2 + 1
Q.7.
The GCD of x5+x4+x3 – x2 – x + 1 and x3 + x2 + x + 1 over GF(is
a) 1
b) x
c) x + 1
d) x2 + 1
Q.8.
The GCD of x3 – x + 1 and x2 + 1 over GF(is
a) 1
b) x
c) x + 1
d) x2 + 1
Q.9.
Find the 8-bit word related to the polynomial x6 + x + 1
a) 01000011
b) 01000110
c) 10100110
d) 11001010
Q.10.
If f(x)=x7+x5+x4+x3+x+1 and g(x)=x3+x+find f(x) + g(x).
a) x7+x5+x4
b) x7+x5+x4+x3+x
c) x4+x2+x+1
d) x6+x4+x2+x+1
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