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Minterms is a common word associated with truth tables or karnaugh maps. It is a special product of literal in which input parameters or variables appear only once. For instance, a two function variable f(x,y) has 2^n minterms.
Carlos Mante
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What is diff between min term and max term in dld?
In The Name OF GOD... minterm...equal to sum of product of variables. maxterm...equal to product of sum of vriables. IN SOP:every 0 in truth table provides complement and 1 doesn`t IN POS:is reverse of SOP in which every 1 coressponds to complement but 0 doesn`t Ex: if wxyz=1010 so minterm is w x`y z` maxterm is w`x y` z WannA discuss it with me k contact me ahmed_gad20102@yahoo.com
What do you mean by minterms?
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
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.
Difference between standard and canonical form?
The two CANONICAL FORMS of Boolean algebra are basic forms that one obtains from reading a function from the truth table. These forms are very seldom the ones with the least number of literals, because each minterm or maxterm must contain, by definition, all the variables either complemented or true form.Another way to express Boolean functions is in STANDARD FORM. In this configuration, the terms that form the function may contain one, two, or any number of literals.- Digital Design by Mano
What are the canonical and standard forms?
CANONICAL FORM: In canonical form each term (minterm or maxterm) must and should contains all literals corresponding to each variable of the function. It is obtained from truth table.Ex: F(x,y,z) = xy|z + xyz + x|y|z|Ex: F(x,y) = (x+y)(x|+y)STANDARD FORM: In standard form each term doesn't contains literals corresponding to each variable of the function. that is it may contains one or two or any number of literals in each term.Ex: F(x,y,z) = x + yz + x|y|Ex: F(x,y) = (x+y)x|
