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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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