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What do you mean by minterms?


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Answered 2013-01-10 17:38:34

Minterms

• A minterm is a special product of literals, in which each input variable

appears exactly once.

• A function with n variables has 2n minterms (since each variable can

appear complemented or not)

• A three-variable function, such as f(x,y,z), has 23 = 8 minterms:

• Each minterm is true for exactly one combination of inputs:

x'y'z' x'y'z x'yz' x'yz

xy'z' xy'z xyz' xyz

Minterm Is true when… Shorthand

x'y'z' x=0, y=0, z=0 m0

x'y'z x=0, y=0, z=1 m1

x'yz' x=0, y=1, z=0 m2

x'yz x=0, y=1, z=1 m3

xy'z' x=1, y=0, z=0 m4

xy'z x=1, y=0, z=1 m5

xyz' x=1, y=1, z=0 m6

xyz x=1, y=1, z=1 m7

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