Question

In: Electrical Engineering

Simplify Q2*= L’(F4+F5+F6+F7) + L +(F’1 F’2 F’3 F’5 F’6 F’7)+L’(F5+F6+F7)+ L’(F4+F3+F2+F1)+L+(F’1 F’2 F’3 F’4 F’6...

Simplify

Q2*= L’(F4+F5+F6+F7) + L +(F’1 F’2 F’3 F’5 F’6 F’7)+L’(F5+F6+F7)+ L’(F4+F3+F2+F1)+L+(F’1 F’2 F’3 F’4 F’6 F’7)+L’(F6+F7)+ L’(F5+F4+F3+F2+F1)+ L+(F’1 F’2 F’3 F’4 F’5 F’7)+L’(F7)+L’(F6+F5+F4+F3+F2+F1)+L+(F’1 F’2 F’3 F’4 F’5 F’6)

           

Solutions

Expert Solution

Q2* =  L’F4 +  L’F5 +   L’F6 +   L’F7 + L + F’1 F’2 F’3 F’5 F’6 F’7 +  L’F5 +  L’F6 +  L’F7 +  L’F4 +  L’F3 +  L’F2 +  L’F1 + L + F’1 F’2 F’3 F’4F’6 F’7 +  L’F6 +  L’F7 +  L’F5 +  L’F4 +  L’F3 +  L’F2 +  L’F1 + L + F’1 F’2 F’3 F’4 F’5F’7 + L'F7 +  L’F6 +  L’F5 +  L’F4 +  L’F3 +  L’F2 +  L’F1 + L + F’1 F’2 F’3 F’4 F’5 F’6

{ By Distribuive Property}

Q2* =  L’F4 +  L’F5 +   L’F6 +   L’F7 + L + F’1 F’2 F’3 F’5 F’6 F’7 + L’F3 + L’F2 +  L’F1 +  F’1 F’2 F’3 F’4F’6 F’7 +

  F’1 F’2 F’3 F’4 F’5F’7 + F’1 F’2 F’3 F’4 F’5 F’6

{ By Idempotent Law: A + A = A}

Q2* = L +   L’F1 +   L’F2 +   L’F3 + L’F4 +  L’F5 +   L’F6 +   L’F7 +  F’1 F’2 F’3 F’5 F’6 F’7 +   F’1 F’2 F’3 F’4F’6 F’7 +   F’1 F’2 F’3 F’4 F’5F’7 + F’1 F’2 F’3 F’4 F’5 F’6

{ By Associative Law}

Manojponduru answered 2 years ago
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