(2) Implement the following circuits with only (a) 2-input NAND (b) 2-input NOR gates and inverters. F = W(X+Y+Z)+XYZ F= ab’c’+ b(c’+d’) F =X+Y ( Z+ X+Z )
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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...
Given the function below, F(w,x,y,z)= x’z+w’z’+w’y a) draw a logic diagram for an implementation which uses only five two-input NOR gates. b) Implement the function of parts a using only four two-input NAND gates. Draw the logic diagram. USE K-MAP TO SOLVE.
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.
Using mixed-logic technique, implement the logic function using only 2-input NOR (NOR2) gates and inverters: (1596) 3. F = ((A + BC)D) + C + DE
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1 Chapter 3 problems 1. Minimize the following Boolean functions into sum-of-products form using a K-majp (a) F(z, y, ;) = Σ(0, 1, 2, 3, 5, 6) (b) F(a,b, c) 20,1,4,5,7) (c) F(z,y,2)s Σ(1.3.5.7) (d) F(a, b, c) 0,4,7) 2. Minimze the following Boolean functions into sum-of-products form using a K-map (b) Fla,b,c)= Π(0.1.4.5.7) (c) F(z, y,z)= Π(2,4,6) (d) F(a,b,c)-Π(1,2,3,4) 3. Minimize the following Boolean functions...
1. Determine 2 ways to implement an inverter with a 2-input NAND gate. 2. Implement a 3-input NAND gate function using 2-input NAND gates only, draw schematics. 3. Implement a 2-input OR function using 2-input NAND gates only, draw schematics. 4. (A) Implement the function using one 2-input OR gate, one 2- input AND gate and one 2-input NAND gate. (B) Implement the same function with only NAND gates. (C) Make up the truth table for the function. What is...
Computer Science: Computer Architecture 3. Do the following problems: Consider a circuit with 4 binary inputs. It counts the number of 1’s on its input and expresses (encodes or represents) the count as binary values on 2 output lines. a. Draw a truth table to represent the functions of the circuit. b. Provide SOP expressions for the output lines. c. Simplify the SOP expressions. d. Implement the circuit using 2-input NAND gates. 4. do the fowolling problems: a. Verify: xyz...
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4. For each circuit below. a. b. c. Find the output expression for X Implement the logic circuits using only NAND gates. Implement the logic circuits using only NOR gates.
2. NAND and NOR gates are the universal logic gates. To prove this property of universal gates, show how the basic/ standard logic gates (AND, OR, NOT) can be implemented using only NAND and NOR gates. (Hint: Show six circuits in total: three with only NAND gates and three with only NOR gates)
3. () Use only NAND gates to implement the Boolean function F AC +BC. (ii) Use only NOR gates to implement the Boolean function F AB+BC. Write the truth tables and draw the logic circuits for the following Boolean functions: (i) F A +BC'. (ii) F AB +C'+D. 4.