Q1) Design a full Subtractor circuit that performs the subtraction of three bits: (A), (B) and (X), using: a. Basic logic gates. b. Decoder IC.
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- a) Design a combinational circuit that would take a 3-bit binary number and generate an output if the input value in decimal is either divisible by 2 or 3. iii) Explain and show how you would implement this circuit using a 4-to-1 Multiplexer and other appropriate logic gates. Use a block diagram for the multiplexer.Using a K-map, simplify the output expression for the circuit in the figure. Draw the logic diagram for the simplified logic expression derived in the previous procedure. Construct the simplified circuit in the previous procedure. Use a DIP switch for each input.The ASM chart shown in Figure 4 specifies a synchronous sequential logic circuit. Derive a suitable state table from the ASM and design the circuit for the state table using JK flip-flop and logic gates.
- 6. For the follow logic circuit system, the output f is: 5 (A) ab. (B) a + b. (C) a'+b'. (D) a'b'. a bConsider two Boolean functions in sum-of-minterms form: Simplify these functions by means of maps. Implement the two functions together, using a minimum number of basic gates. Draw the equivalent logic circuit below.We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?
- MNO P D For the given logic circuit, find the following: a. Logic Equation or Output b. Simplified logic expression using Boolean Algebra c. Simplified circuit Sc) Figure 1 shows a diagram of an automobile alarm circuit used to detect certain undesirable conditions. The three switches are used to indicate the status of the door by the driver's seat. Design the logic circuit with these three switches as inputs so that the alarm will be activated whenever either of the following conditions exists. • The headlights are on while the ignition is off. • The door is open while the ignition is on. +5V LED DOOR LOGIC IGNITION CIRCUIT ALARM HEADLIGHTS Figure 1d) Draw the schematics of 4-bit synchronous and asynchronous MOD-8 counters and comment on their pros and cons. e) Calculate the noise margin for a logic gate with the following logic levels: VIL = 1.1 V, VIH = 3.2 V, VOL = 0.6 V, VOH = 4.0 V.
- You want to design an arithmetic comparison combined logic circuit. (a) List the steps that you will apply in the design approach. Design a 4-bit comparison (greater-equal-small) circuit. Explain each step. With AND, OR, NOT gates implement. b) measure the two numbers you designed in the cercuit then talk about the result.logic circuit diagram for fabinaaci counter that gives output in fabinaaci sequence.upto 2 digits please mentions the gates and ics used in circuit.6. i) For the circuit shown in Figure Q16, Find the logic functions of X and Y Figure Q1 ii) Simplify X and Y using Boolean algebra. hp ort delete