1- Simplify the following Boolean expressions to a minimum number of literals:

Question

Question

1- Simplify the following Boolean expressions to a minimum number of literals:

Answer 1

Answer #1

3. xyz + x′y + xyz′ = xy(z+z′) + x′y = xy +x′y = y(x+x′)=y

answered by: casio

Answer 2

Answer #2

BC+BC'+BA= B(C+C')+BA=B+BA=B(A+1)=B.1=B

source: Digital electronics

answered by: عبد الرحمن

Answer 3

Similar Homework Help Questions

2-6. Simplify the following Boolean expressions'to a minimum number of literals: (a) ABC +ABC +ĀB (b)...

2-6. Simplify the following Boolean expressions'to a minimum number of literals: (a) ABC +ABC +ĀB (b) (A+B)(Ā+B) (c) ĀBC + AC (d) BC+B(AD+AD) (e) (A + B +AB)(AB+ĀC + BC).
Simplify the following boolean expressions to a minimum number of literals: AB'+A'B'D+A'CD'

Simplify the following boolean expressions to a minimum number of literals: AB'+A'B'D+A'CD'
11. Simplify the following Boolean expressions to a minimum number of literals: c) abcd + abc...

11. Simplify the following Boolean expressions to a minimum number of literals: c) abcd + abc 'd + a'bd btain the truth table for the following functions and express each function in sum-of minterms and product-of-maxterms form: a) (x y')y'+2) c) (xy +yz+xz(x 2)

Simplify the following Boolean expressions to a minimum number of literals using only Boolean algebra (a)...

Simplify the following Boolean expressions to a minimum number of literals using only Boolean algebra (a) F(x, y, z) = x'· y' · z' + x · z + x'· y'· z (b) F(X, Y ) = (X' + Y ) · (X' + Y' ) (c) F(x, y, z) = (x + y + z') · (x' + y + z') · (x + y + z) · (x' + y + z) (d) F(x, y, z) = x'·...
Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down...

Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down the intermediate steps. 1). F11(x,y,z) = x'yz+xyz +x'y'Z+xy'Z+ xy'z 2). F12(x,y,z) = (y'+xyz')' Question 2 [2 points) Obtain the function expression of F2 from the logic diagram. Question 3 [3 points) Obtain the truth table of the following function and rewrite the function in Canonical POS (Product of Maxterms) format: F3(a,b,c) = (a'+c)(a+b+c') +a'bc' Question 4 (2 points) Convert the following function to Canonical...
Simplify the follwing boolean expression to a minimum number of literals

simplify the following boolean expressions to a minum number of literals:F=x'z' + y'z' + yz' + xyPlease help me ???

Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean algebra (show...

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’)
[8] Using properties of Boolean algebra, simplify the following Boolean expressions so they could be built...

[8] Using properties of Boolean algebra, simplify the following Boolean expressions so they could be built with the minimum number of gates. a. X= A + BC + AB + ABC + B b. Y = AB + B(AC + BC + ABC' + A) C. W = ABC' + AB'C' + B'CD + A'C + BC d. Z = (A + B')' + (ABC')' +A(B + A'C)'
please answers all of them! 1. Simplify, using algebraic manipulations, the following Boolean expressions to a...

please answers all of them! 1. Simplify, using algebraic manipulations, the following Boolean expressions to a mini- mum number of terms and factors. (a) XYZ + XY + XYZ (b) XYZ + XZ 2. Find the complement of the following expression: (a) XY + XY 3. Using DeMorgan's Theorem, express the following function .... (a) F= XY+XY + ÝZ ... with only OR and complement operations. 4. Propose and solve your own logic simplification problem using logic theorems 5. Simplify...

Using algebraic methods, simplify xyz+xz to minimum number of literals.

Using algebraic methods, simplify xyz+xz to minimum number of literals.