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# What do you mean by minterms?

###### Wiki User

###### 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

## Related Questions

###### Asked in Science, Algebra

### What is minterms?

###### Asked in Grand Am SE, Grand Prix GT, Heating Ventilating and Air Conditioning

### What is don't care conditions?

Functions that have unspecified output for some input
combinat
ions are called incompletely specified functions.
Unspecified minterms of a functions are called dont care
conditions. We simply
dont care whether the value of 0 or 1 is assigned to F for a
particular minterm
Dont care conditions are represented by X in the K Map
table.

###### Asked in Poptropica

### Where do you use Decoders?

Decoders are just an accumulation of rationale doors which are
orchestrated specifically in order to breakdown any blend of inputs
to an arrangement of terms that are good to go to "0" aside from
one term. Along these lines when one information changes, two yield
terms will change. Note that these terms are "minterms",
recollecting that minterms utilize a variable once, and once
just.
Lets say we have N inputs to a decoder, the quantity of yields
will be equivalent to 2^N. Accordingly there will be one line at
the yield for every conceivable data.
a.)we will figure out how a fundamental decoder functions. A two
to four line decoder is of the structure, two inputs and four
yields. The Flash movement underneath shows how the inputs are
decoded at every stage.
b.)To get a not too bad comprehension of how decoders work, you
will find that a project called LabVIEW is accessible in the
Electrical Engineering office. The connection underneath is a
LabVIEW showing that you can control. In the case of nothing else,
this showing will get you somewhat more acquainted with the earth
of LabVIEW for different samples later in the course.