7. In English: Let us have two logic variables A, and B, where A is the most significant bit, and B is the least significant one. Derive the truth table for the logic function f(A, B) = A.B. How can this logic function be implemented with a NOR (i.e., NOT OR) logic gate? Explain your solution.
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- 2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S CA B Prepare the truth table of the logic circuit (logic circuit) on the right. Then, using the truth table, write the function you have obtained according to the SOP (minterm) without any simplification and draw the logic circuit for the new function you have obtained. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.Task 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'C
- For a combinational logic circuit of four bits Binary Coded Decimal (BCD) inputs and one output having following conditions: • if the equivalent decimal number of the BCD is even then output is 0 • if the equivalent decimal number of the BCD is odd then output is 1 Draw the truth table 20. i) ii) Find the simplified logic function using K-Map ii) Draw the logic diagramThe truth table of a combinational logic circuit with 3 inputs and 2 outputs is given in table B2. Q20 Table B2 B F1 F2 1 i) Find the simplified logic functions of Fi and F2. ii) Implement the function F: using NOR gates only.Draw logic circuits for the Boolean statement below, only using 2-input logic gates. Q=(AC)'+(A'B)' where Q is the output.
- 4. Figure 2 shows a logic circuit with output F Figure 2. Logic circuit with gate I (AND), gate II (AND), gate III (NOT), gate IV (AND), gate V (EXOR) and gate VI (OR) a. Find the Boolean expression of output F. b. The simplified Boolean expression of Output F. c. If the input A and C were High and Input B was Low, what is output F:A combinational logic circuit that compares between two 2-bit numbers A (A1 A0) and B(B1 B0) is designed. Output F is high when ? > ? and low when ? < ?. 1) Are there any undefined outputs? If there are any undefined outputs what are the inputs?Task 3: Digital logic circuit analysis - Finding the Boolean expression of a given circuit Find the Boolean expression of the following circuit, draw the circuit on EWB and simulate it to fill-in its truth table shown below. W = Note: the logic converter tool from EWB to fill-in the following table. For that, you need to connect the A, B and C inputs of the logic converter to X, Y and Z lines, respectively. Further, you need to connect the "out' line of the logic converter to W. As shown in the following diagram EDHAIB Logic Converter 000000O00 ABCDEFGH Conversions 1OT AB + 10E + NAND AB C'+A B'C+AB C+AB C+ABC+ABC X
- Combinational Circuits - Design Procedure Design a logic circuit that has three inputs A, B, C and whose output will be HIGH only when a majority of the inputs are HIGH. 3-A. Generate the truth table. 2-B. Obtain the KMAP. 3-C. Provide the Simplified Boolean Function. 3-D. Generate the Logic diagram of the simplified Boolean function.Basic Combinational Logic Circuits 2. Write the output expression for logic circuit: A B B XFor the Logic cireuit shown below, BI (i) Find Expression for F (ii) Simplify the expression of F using Boolean algebra and De-Morgan's theorems. B2 (i) Draw the logic symbol and truth table of the gate which performs logic addition with inversion.