Q1. State True or False (1*10- 10 points) a) Each term in Sum of Products (SoP)

Question

Q1. State True or False (1*10- 10 points) a) Each term in Sum of Products (SoP) expression is restricted to include only complemented variables. b) Each maxterm in Canonical (Standard) form of representation contains every input variable in true or complement form. c) A variable appears uncomplemented in both minterm and maxterm bit in its binary representation is 0. d) Don't care terms can be included or excluded while simplifying logic expressions e) Duality theorem is still valid after SoP to PoS or PoS to SoP conversion. f) There can be only one Essential Prime Implicant in the minimized logic expression for any logic circuit g For a function of three input variables, X,Y, and Z, the maxterm corresponding to 101 is XY'Z. h) The binary expression that directly corresponds to a two level AND-OR circuit will be in SoP form. i) The final expression obtained using Quine-McCluskey approach is guaranteed to have fewer literals than the corresponding minimized expression obtained using K-Maps. j The minimized Boolean expression obtained from Quine McCluskey method must include every variable in its true or complement form

Explanation / Answer

a) false

it is not necessary that it will include only complemented variables

b)false

it is not necessary that it will contain each variables

c)false
in minterm if it is 0 it is represented by complement but in maxterm it is represented by complement

d)true

e)true

f)true

g)false

for maxterm 101 can be represented as x'+y+z'

h) true

i)false

j)false

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