solution4_mms

# solution4_mms - 1 a b 2 f =(ab’ a’b(cd c’d’ =...

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Unformatted text preview: 1. a b 2. f = (ab’+a’b)(cd+c’d’) = ab’cd+ab’c’d’+a’bcd+a’bc’d’ g = (a ⊕ b)’ ⊕ (c ⊕ d)’ = a ⊕ b ⊕ c ⊕ d= a’b’cd’+a’b’c’d+a’bc’d’+a’bcd+abc’d+abcd’+ab’cd+ab’c’d’ Since the result is given by the successive exclusive or. Then it cannot be further simplified. 3.(a) For the NOT gate, when the input is connected to both a and b (a=b). f(a, a, c) = a’c+a’c’+a’a=a’ a f For the AND gate, when one input is connected to both b and c (b=c), the other input is connected to a. Then f(a, b, b)=a’b+b’b’+a’b=a’b+b’=a’+b’. Now we connect to another NOT gate which is shown above. Then f’(a, b, c)=ab. f gate a b f For the OR gate, both inputs are connected to NOT gate first, then we get new inputs a’ and b’. Then we connect a’ to another f gate input a and connect b’ to both b and c. Then f(a, b, c)=a’’+b’’=a+b....
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solution4_mms - 1 a b 2 f =(ab’ a’b(cd c’d’ =...

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