NAND and NOR gates are universal, which means that you can implement every possible Boolean function...
14. NAND and NOR are said to be universal gates because each and every gate can be made from these two gates Make AND, OR and NOT gates using just NAND gates. Make AND, OR and NOT gates using just 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.
Simplify the following Boolean function using K-map and implement it using only NAND gates ?(?, ?, ?, ?) = ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?.?.?.? +?.?.?.? + ?.?.?.? + ?.?.?.?
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...
Q2. [60 marks] A logical function is realized by the combination of NAND and NOR gates with the ircuit connections shown in Figure1. a. [20 points] Find the Boolean expression of the function F b. [20 points] Simplify the Boolean expression using Boolean Algebra; c. [20 points] Re-design the circuit using the least NAND-only gates (each NAND has 2 inputs). F(A,B,C) Figure 2: Logical circuit with NAND and NOR.
Sketch a schematic for the two-input XOR function using only NAND gates. How few can you use? Explain why a circuit’s contamination delay might be less than (instead of equal to) its propagation delay. A gate or set of gates is universal if it can be used to construct any Boolean function. For example, the set {AND, OR, NOT} is universal. (a) Is an AND gate by itself universal? Why or why not? (b) Is the set {OR, NOT} universal?...
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...
We know that the NAND gate is universal, so all other gates can be built using just NAND gates. Hence we should be able to build a half-adder using NAND gates. And we can. a) Draw the AND operation as a circuit using only 2 NAND gates b) Check your design in (a) by showing the full truth table for it c) Draw the OR operation as a circuit using only 3 NAND gates
We know that the NAND gate is universal, so all other gates can be built using just NAND gates. Hence we should be able to build a half-adder using NAND gates. And we can. a) Draw the AND operation as a circuit using only 2 NAND gates [2 marks] b) Check your design in (a) by showing the full truth table for it [2 marks] c) Draw the OR operation as a circuit using only 3 NAND gates [2 marks]...