Question

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

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)

(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’)

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)

Using the algebraic manipulation, Simplify the following
expression
Y = (A + B)(A + C' )(B' + C' )

(a) Implement the following Boolean function F using the
two-level forms: AND-NOR and
OR-NAND , F = B'D'+ AC'D'+ACD+A'CD'
(b) Convert the above problem into standard POS, expression using
the truth table and minimize
using K-map.
(c) Design a combinational circuit with four inputs and one output.
The Algebraic expression
must be minimized using K-MAP. The output must be one for the
digits which are present in
your Roll Number Digits. Any duplications must be avoided.

Given F = AB′D′ + A′B + A′C + CD.
(a) Use a Karnaugh map to find the maxterm expression for F
(express your answer
in both decimal and algebric notation).
(b) Use a Karnaugh map to find the minimum sum-of-products form
for F ′.

Find the minimum sum-of-products expression for the following
functions using the LogicAid Karnaugh Map Tutorial
mode:
1. f(a,b,c,d) = ?m (0,2,3,4,7,8,14)
2. f(a,b,c,d) = ?M(1,2,3,4,9,15)
3. f(a,b,c,d) = ?M(0,2,4,6,8)* ?D(1,12,9,15)

Analyze following logic expression representing
a digital system,
Z = (A+C)(A'+D')(B'+C'+D)
Identify the 0-hazards and write down the logic
expression for the implementation of static free circuit. Note that
you would be requiring three additional loops in K-map

simplify the following boolean expresions by use of k map
a'b' + bc + a'bc'
p'qr + pq'r' + pq'r
xy' + x'y

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