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Problem 3. Find the complement of the following expressions. a) XY + XY b) (X +...
Find the complement of the following expressions b) (AB+C)0%E 2. Given the Boolean function F -xy + x'y' y'z 1. Implement it with AND, OR, and inverter 2. Implement it with OR and inverter gates, and 3. Implement it with AND and inverter gate 3. Express the following function in sum of minterms and product of maxterms: a) F(A,B,C,D) - B'DA'D BD b) F (AB+C)(B+C'D) 4.Express the complement of the following function in sum of minterms a) F (A,B,C,D)-2 (0,2,6,11,13,14)...
Do not solve part C, i have it 2.9 Find the complement of the following expressions: (b) ac ab' a bc' (a)* x'y' +xy (d) (B C')(A C')(B' t C" (c) z z '(v' w +xy)
7. (a) Find an example of a Boolean algebra with elements x, y, and z for which xty-x + z but yz. (b) Prove that in any Boolean algebra, if xy- z and+ yxz, then y -z 7. (a) Find an example of a Boolean algebra with elements x, y, and z for which xty-x + z but yz. (b) Prove that in any Boolean algebra, if xy- z and+ yxz, then y -z
Find... Find if f(x, y, z) = (x2yz6 + xy) 24c-yz (x2yz6 + xy) 4 (12x25 + 1 (22yz6 + xy) 4 (x² 28 + x) (x2y26 + xy)" მu d) af dy 4 (2xyz + y) (x2yz + xy)
Construct a truth table then simplify the following functional expressions: a) F(x,y,z) = xyz + x(yz)' + x'(y+z) + (xyz)' b) F(x,y,z) = y(x'z + xz') + x(yz + yz')
(06) Proof the following absorption theorem using the fundamental of Boolean algebra X+ XY= X (07) Use De Morgan's Theorem, to find the complement of the following function F(X, Y, Z) = XYZ + xyz (08) Obtain the truth table of the following function, then express it in sum-of-minterms and product-of-maxterms form F= XY+XZ (Q9) For the following abbreviated forms, find the corresponding canonical representations, (a) F(A, B, C) = (0,2,4,6) (b) F(X, Y, Z) = II (1,3,5,7)
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...
6) a (15 pts) Find the derivative of (x,y,z-xy, + x3yz + z3yx in the direction of v -2 -4k at the function fix.y z) at the point vo Can you find any direction(s) where the surface is neither increasing nor decreasing? e point vo (2, 1, -3). What is the rate of maximal increase to the b. (10 pts) Find a normal vector and the tangent plane to the following level surface x'y t yz+2 3 at (1, 1,...
give the regular expressions for each of the following languages u.{xy {a, b}* | the number of as in x is odd and the number of bs in y is even}
- bram , July It, 2014 I (a) If z=f(x,y) welt u=x²-yz and U=xy find the Tacoblan of le, U with respect to yy. (b) Use the chain rule to evaluate az and dz When Z= sin ax cosby for x=sity-s-t व