Question

simplify the following boolean expresions by use of k map

a'b' + bc + a'bc'

p'qr + pq'r' + pq'r

xy' + x'y

Answer #1

Using K-map to simplify the following Boolean function:
F(A,B,C,D) = m(1,3,5,6,7,9,11,12,13,15)

Using K-map to simplify the following Boolean function:
F(A,B,C,D) = å
m(1,3,5,6,7,9,11,12,13,15)

Simplify the boolean equation:
C(A'B' + AB'(C + BD))
then draw the logic schematic

(3) Use K-map to simplify the following expressions, and
implement them with two-level NAND gate circuits:
(a) F(A,B,C,D)=A’B’C+AC’+ACD+ACD’+A’B’D’
(b) F(A,B,C)=(A’+B’+C’)(A’+B’)(A’+C’)

i
have the following problem boolean simplfication
A'BC' + BC + AB'C' +AB'C
I can do it two different ways factor AB' out of the 3rd and
4rth terms giving me
A'B'C' +BC + AB'(C'+C)
then using the boolean rules that says C'+ C =1
and the rule that says anything anded with 1 is it's self i
have
A'B'C' + BC + AB' comuntive law
AB' + A'B'C + BC
now factoring B' out of the first two terms...

Expand the following expression into minterms and then simplify
it using K-map.
F(A,B,C,D) = BC'D' + A'C'D + ACD + BCD + A'BD

Use Boolean algebra to simplify the following expression to
obtain the minimum cost implementation: ( !x * !y * !w) + ( !x * !y
* z) + ( !x * z * !w) + ( y * !z * w) + ( x * !y * !z)

Simplify the following Boolean functions, using K-maps. Find all
the prime implicants, and determine which are essential:
(a) F (w, x, y, z) = ? (1, 4, 5, 6, 12, 14, 15)
(b) F (A, B, C, D) = ? (2, 3, 6, 7, 12, 13, 14)
(c) F (w, x, y, z) = ? (1, 3, 4, 5, 6, 7, 9, 11, 13, 15)

Eliminate the exclusive OR and simplify the following Boolean
expression to get a minimum POS.
Z= A' · (B⊕C')+AC+B'C

Find the truth table (function table), SOM, POM, and
simplify the expression using K Map approach of the following Sigma
notation expression: (10 points) f(w,x d y,z)= sum
m(0,3,9,10,14,15)

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