Question
In: Computer Science
3. Simplify the following expressions using the properties of boolean algebra : 3A) S(A,B,C) = A'B'C...
3. Simplify the following expressions using the properties of boolean algebra :
3A) S(A,B,C) = A'B'C + A'BC + AB'C + ABC
3B) F(A,B,C) = A'B'C' + A'B'C + AB'C' + AB'C + ABC' + ABC
Solutions
venereology answered 2 years agoRelated Solutions
Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean...
Simplify the following Boolean expressions to the minimum number
of terms using the properties of Boolean algebra (show your work
and write the property you are applying). State if they cannot be
simplified
A. X’Y + XY
B. (X + Y)(X + Y’)
C. (A’ + B’) (A + B)’
D. ABC + A’B + A’BC’
E. XY + X(WZ + WZ’)
Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean...
Simplify the following Boolean expressions to the minimum number
of terms using the properties of Boolean algebra (show your work
and write the property you are applying). State if they cannot be
simplified.
A. A’B + AB
B. XY + X(WZ + WZ’)
C. X’Y’(X’+Y)(Y’+Y)
D. ABC + A’B + A’BC’
E. (A+B)(AC+AC’)+AB+B
Draw the circuit logic diagrams for both the original and
simplified expressions.
1. Use Boolean algebra to simplify the following Boolean expressions to expressions containing a minimum number...
1. Use Boolean algebra to simplify the following Boolean
expressions to expressions containing a minimum number of
literals:
(a) A’C’ + A’BC + B’C
(b) (A + B + C)’(ABC)’
(c) ABC’ + AC
(d) A’B’D + A’C’D + BD
(e) (A’ + B)’(A’ + C’)’(AB’C)’
(f) (AE + A’B’)(C’D’ + CD) + (AC)’
2. Obtain the truth table of the function F = (AB + C)(B + AC),
express the function F in sum-of-minterms and product-of-maxterms
forms, and express...
Simplify the equation using Boolean algebra properties. F = xy + xy’z + x’yz
Simplify the equation using Boolean algebra properties.
F = xy + xy’z + x’yz
1. Simplify the following expressions using Boolean algebra. a.A+AB b.AB+AB' c.A'BC+AC d.A'B+ABC'+ABC
1. Simplify the following expressions using Boolean algebra.
a.A+AB
b.AB+AB'
c.A'BC+AC
d.A'B+ABC'+ABC
Use boolean algebra to prove that: (A^- *B*C^-) + (A^- *B*C) + (A* B^- *C) +...
Use boolean algebra to prove that:
(A^- *B*C^-) + (A^- *B*C) + (A* B^- *C) + (A*B* C^-) + (A*B*C)=
(A+B)*(B+C)
A^- is same as "not A"
please show steps to getting the left side to equal the right
side, use boolean algebra properties such as distributive,
absorption,etc
Assume B is a Boolean Algebra. Prove the following statement using only the axioms for a...
Assume B is a Boolean Algebra. Prove the following statement
using only the axioms for a Boolean Algebra properties of a Boolean
Algebra.
Uniqueness of 0: There is only one element of B that is an
identity for +
please include all the steps.
Prove the following using the properties of regular expressions: (ab)* + c + c* = Λ...
Prove the following using the properties of regular
expressions:
(ab)* + c + c* = Λ + ab + (ab)* + c(Λ + c*)
Λ+ab+abab+ababab(ab)* = Λ + ∅* + (ab)*
a(b+c*) + (d+e)* = ab + ac*c* + d + e + (d+e)*
a*b + a*a*bc* + d* + ab = d* + ab + a*bc* + Λ
a(b+cd*) = a(b+c) + acdd*
(a+b)* = ∧* + ∅* + (a*b*)*
(ab)*(c*+d*) = (ab)*(c+c*) + (ab)*( ∧ + d*)
How do you simplify the following boolean expressions: Y3= X3' X2 X1 X0' + X3' X2...
How do you simplify the following boolean expressions:
Y3= X3' X2 X1 X0' + X3' X2
X1 X0 + X3 X2 X1 X0' +X3X2X1X0
Y2 = X3' X2 X1' X0' + X3' X2 X1' X0 +
X3 X2 X1' X0' + X3 X2 X1' X0 + X3 X2' X1' X0' +
X3 X2' X1' X0 + X3 X2' X1 X0' + X3 X2' X1 X0
Y1 = X3' X2' X1 X0' + X3' X2' X1 X0 +
X3' X2 X1 X0'...
1.) Simplify the following Boolean Expression to a minimum number of literals. (a'b' + c)(a +...
1.) Simplify the following Boolean Expression to a
minimum number of literals.
(a'b' + c)(a + b + c')
a.)ab + a'b'c' + ac
b.)ac + abc + bc
c.)ac + a'b'c' + bc
d.)a'c + abc + b'c
e.)None of the above
2.) Reduce to two literals.
wxy'z + w'xz + wxyz
a.) xz
b.) x'z
c.) xz'
d.) yz
e.) None of the above
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