Solution :
Simplify the boolean function f(x,y,z)=[(x+y)(x'+z)]' and design two level Nor gate .
Simplify the Boolean function F (x, y, z) lx +y) (x'+z) and implement with two-level NOR...
Problem 3 (10 points). Simplify the following Boolean function F and implement with: (a) Two- level NAND gate circuit; (b) Two-level NOR gate circuit. F-wx' + 'z' + wyz!
Part A: Implement the following function with two-level NOR gate circuit in Multimedia Logic: (w, x, y, z) = wx’ + y’z’ + w’yz’ Hint: We can have a similar approach as slide #16 from Slide set 4-Combinational Circuits (Case #3).
Q2: 1. Proof this Boolean expression. Use Boolean Algebra (X+Y). (Z+W).(X'+Y+W) = Y.Z+X.W+Y.W 2. For this BF F(X,,Z)=((XYZ)(X +Z))(X+Y) • Design the digital circuit Derive the Boolean Function of X, Y, Z. Simplify the Function Derive the truth table before and after simplification. Derive the BF F(X,Y,Z) as Maxterms (POS) and miterms (SOP). Implement the F(X,Y,Z) after simplification using NAND gates only. Implement the F(X,Y,Z) after simplification using OR NOR gates only.
Implement this Boolean Expression on a breadboard using NOR gates Part A: Z =XY+X 'Y' Implement this Boolean expression using only NOR gates. Apply De Morgan's law and Boolean laws for the expression to represent it only using NOR operation. Your implementation should use the minimum number of gates (4 NOR gates) required
7. (20%) Simplify the following Boolean function F, using the two-level forms (a) AND-OR- Inverter, (b) OR-AND-Inverter logic diagrams F(x, y, z) = (0,2,4,5,6).
(solve) > Implement the boolean function F(x,y,z) = xy + x'y + yz write all the steps and identify the law rule
Consider the Boolean function F1 = X' · Z + X ' · Y · Z + X · Y ' + X · Y' · Z (a) Implement F1, in the form as given, using 2-input ANDs, 2-input ORs and NOT gates. How many gates did you use? (b) Simplify F1 using Boolean algebra identities. Show all the steps & the identities used at each step. (c) Implement the simplified form of F1 using 2-input ANDs, 2-input ORs and...
NAND and NOR gates are universal, which means that you can implement every possible Boolean function with them. Remember that the NOT gate can be implemented using either a NAND or a NOR. Implement the following functions using only NAND and NOT gates. Do not simplify the functions for this problem. a. (a + b) (c' +d) b. (a'b + b'c)' Implement the following functions using only NOR and NOT gates. c. (a + ab'c)' d. (((a + b)' +...
Simplify the following Boolean function F, together with the don’t-care conditions d. Draw a NOR only implementation of the simplified circuit. a. F(x, y, z) = ∑m(0, 1, 4, 5, 6) d(x, y, z) = ∑m (2, 3, 7) b. F(A, B, C, D) = ∑m (5, 6, 7, 12, 14, 15) d(A, B, C, D) = ∑m (3, 9, 11) c. F(A, B, C, D) = ∑m (4, 12, 7, 2, 10) d(A, B, C, D) = ∑m (0,...
3. Implement the following gates using only one TTLİCİ (1 point) TEL EL (a) Example: One 4-input OR gate (b) One 2-input NAND gate and one 2-input OR gate (c) One inverter, one 2-input NAND and one 3-input NAND (d) One 2-input XOR gate and one 2-input XNOR (e) One 4-input XNOR gate 2346 GND 2-input OR 7432 1 Porcuits Simplify the following expressions, and implement them with two-level NAND gate circuits: 4. Minterms, K-map and two-level NAND/NAND logic: F...