Q.1
##### If f(x)=x7+x5+x4+x3+x+1 and g(x)=x3+x+find f(x) x g(x).
• a) x12+x5+x3+x2+x+1
• b) x10+x4+1
• c) x10+x4+x+1
• d) x7+x5+x+1
Q.2
• a) x4+x3+1
• b) x4+1
• c) x5+x3+x+1
• d) x3+x2
Q.3
##### Primitive Polynomial is also called a ____
• a) ii) and iii)
• b) only iii)
• c) iv) and ii)
• d) None
Q.4
##### Which of the following are irreducible polynomials?
• a) i) and ii)
• b) only iv)
• c) ii) iii) and iv)
• d) All of the options
Q.5
• a) True
• b) False
Q.6
##### Find the HCF/GCD of x6+x5+x4+x3+x2+x+1 and x4+x2+x+1.
• a) x4+x3+x2+1
• b) x3+x2+1
• c) x2+1
• d) x3+x2+1
Q.7
##### On multiplying (x5 + x2 + x) by (x7 + x4 + x3 + x2 + x) in GF(with irreducible polynomial (x8 + x4 + x3 + x +we get
• a) x12+x7+x2
• b) x5+x3+x3
• c) x5+x3+x2+x
• d) x5+x3+x2+x+1
Q.8
##### On multiplying (x6+x4+x2+x+by (x7+x+in GF(with irreducible polynomial (x8 + x4 + x3 + x +we get
• a) x7+x6+ x3+x2+1
• b) x6+x5+ x2+x+1
• c) x7+x6+1
• d) x7+x6+x+1
Q.9
##### Find the inverse of (x2 +modulo (x4 + x + 1).
• a) x4+ x3+x+1
• b) x3+x+1
• c) x3+ x2+x
• d) x2+x
Q.10
##### Find the inverse of (xmodulo (x8+x4 +xx + 1).
• a) x5+ x4+ x3+x+1
• b) x5+ x4+ x3
• c) x5+ x4+ x3+1
• d) x4+ x3+x+1