Page Nav

HIDE

Grid

GRID_STYLE

Pages

DIGITAL SYSTEM (DGS) RGPV Question Paper 2018 With Solution

Q. WHY DO WE USE BINARY NUMBER SYSTEM AND NOT THE DECIMAL NUMBER SYSTEM IN DIGITAL ELECTRONICS? Binary numbers are used in digital electroni...

RGPV Question Paper 2018 With Solution

Q. WHY DO WE USE BINARY NUMBER SYSTEM AND NOT THE DECIMAL NUMBER SYSTEM IN DIGITAL ELECTRONICS?

Binary numbers are used in digital electronics because they can be represented by two distinct states, such as a high voltage and a low voltage, or a high current and a low current. These two states can be easily distinguished by electronic devices, and are therefore used to represent the "1" and "0" digits of the binary number system.


The decimal number system, on the other hand, uses ten distinct states (0-9) to represent numbers. Representing these ten states with electronic devices would require more complex and expensive technology, such as additional transistors, to distinguish between the different states.


Another reason is that the binary system is more suitable for electronic devices as they are based on electronic switches that are either on or off, it's easier to represent them as 1 or 0. In addition, digital circuits are made up of basic logic gates, such as AND, OR, NOT, and XOR, which are much easier to implement and understand when using binary numbers.


Another advantage of using the binary system is its ability to be easily converted to and from other number systems, such as decimal or hexadecimal. This makes it easy to work with digital circuits and devices, and to communicate with other systems.


In summary, binary numbers are used in digital electronics because they can be represented by two distinct states (1 or 0) that can be easily distinguished by electronic devices, which are based on electronic switches that are either on or off. Using binary numbers is simple, cost-effective, and easy to convert to and from other number systems. Additionally, digital circuits are made up of basic logic gates, which are much easier to implement and understand when using binary numbers


Q. DIFFERENTIATE BETWEEN ANALOG AND DIGITAL CIRCUITS

Analog and digital circuits are different types of electronic circuits that are used for different purposes and have different characteristics.


Analog circuits are designed to work with continuous analog signals, such as voltages or currents. They are used to process and manipulate these signals in order to achieve a desired output, such as amplification, filtering, or modulation. Examples of analog circuits include amplifiers, oscillators, and filters.


Digital circuits, on the other hand, are designed to work with discrete digital signals, such as binary numbers. They are used to process and manipulate these signals in order to achieve a desired output, such as logical operations, counting, or memory storage. Examples of digital circuits include logic gates, counters, and memory devices.


Some key differences between analog and digital circuits are:


Signal processing: Analog circuits process continuous signals, while digital circuits process discrete signals.


Precision: Analog circuits have a lower precision, as they are affected by noise, distortion, and other factors that can introduce errors into the output signal. Digital circuits have a higher precision, as they use discrete values that are less affected by noise and distortion.


Noise immunity: Analog circuits are more sensitive to noise than digital circuits, as the noise can affect the continuous signal and introduce errors into the output. Digital circuits are less sensitive to noise, as the discrete values are less affected by noise.


Linearity: Analog circuits are typically linear, meaning that the output is directly proportional to the input. Digital circuits are non-linear, meaning that the output is not directly proportional to the input.


Versatility: Analog circuits are good for signal processing and manipulating the signals but digital circuits offer more versatility as they can be used for digital signal processing, logical operations, counting, memory storage and many other purposes.


In summary, Analog and digital circuits are different types of electronic circuits that are used for different purposes and have different characteristics. Analog circuits process continuous analog signals, while digital circuits process discrete digital signals. Analog circuits are more sensitive to noise and less precise than digital circuits, but they

WATCH YOUTUBE FOR THESE QUESTIONS

Q. SUBTRACT THE FOLLOWING 1. FB2 - DAB 2. 53BA - 2BCD 3. 113 - 57

Q. CONVERT THE FOLLOWING - 

(1111)2 = ()10

10010.1011 = ()2

(23)10 = ()2

(5.5)10 = ()2

(47.6)10 = ()2


Q. SUBTRACT 49 FROM 34 USING 9’S COMPLEMENT. ALSO PERFORM DIRECT SUBTRACTION FOR COMPARISON

Q. STATE AND PROVE DEMORGAN'S THEOREM

De Morgan's Theorem is a fundamental rule in digital logic and Boolean algebra. It states that the complement of a logical AND operation is equal to the logical OR operation of the complements of the individual operands. It can be stated mathematically as:


!(A AND B) = !A OR !B


This theorem can be proven by using truth tables for A, B, !A, !B, (A AND B), and (!A OR !B). By comparing the entries in the truth table for (A AND B) and (!A OR !B), it can be shown that the entries in the two tables are complementary, that is, when one is true, the other is false and vice versa.


The truth table for A, B, !A, !B, (A AND B), and (!A OR !B) is as follows:


A B !A !B A AND B !A OR !B

0 0 1 1 0 1

0 1 1 0 0 1

1 0 0 1 0 1

1 1 0 0 1 0

As we can see in the truth table, the entries in the column (A AND B) and (!A OR !B) are complementary, which proves the De Morgan's Theorem.


In Summary, De Morgan's theorem states that the complement of a logical AND operation is equal to the logical OR operation of the complements of the individual operands. It can be mathematically represented as !(A AND B) = !A OR !B, which can be proven using truth tables. This theorem is used to simplify the logical operations in digital circuits and it's a fundamental rule in Boolean algebra.

Q. WHAT IS A FLIP FLOP EXPLAIN THE PRINCIPLE RS FLIP FLOP WITH TRUTH TABLE

A flip-flop is a basic building block of sequential logic circuits that can be used to store and control the state of binary information. It's a type of bistable circuit that can be in one of two stable states, often represented by "1" and "0" or "set" and "reset." Flip-flops can be used to store and recall binary data, and to synchronize digital signals in sequential logic circuits.


The RS flip-flop is a type of flip-flop that uses two inputs, "R" for reset and "S" for set, to control the state of the flip-flop. The R input is used to reset the flip-flop to a "0" state, and the S input is used to set the flip-flop to a "1" state.


The truth table for an RS flip-flop is as follows:


R S Q(t) Q(t+1)

0 0 X X

0 1 0 1

1 0 1 0

1 1 X X

Where Q(t) is the output of the flip-flop at time t, Q(t+1) is the output of the flip-flop at the next time step, R is the reset input and S is the set input.


When R = 0 and S = 0, the output Q(t+1) remains unchanged, it's called the "no change" state and it's represented by X.

When R = 0 and S = 1, the output Q(t+1) becomes 1, it's called the "set" state.

When R = 1 and S = 0, the output Q(t+1) becomes 0, it's called the "reset" state.

When R = 1 and S = 1, the output Q(t+1) remains unchanged, it's called the "no change" state and it's represented by X.

It's worth noting that the RS Flip-flop is also known as a "set-reset flip-flop" and it's a basic type of flip-flop that can be used to store and control the state of binary information. However, it has a limitation that it cannot be in both states simultaneously, as either R or S must be active at any given time. This means that it cannot store a "hold" state, which can be a limitation in certain applications.


In summary, the RS flip-flop is a type of flip-flop that uses two inputs, "R" for reset and "S" for set, to control the state of the flip-flop. The R input is used to reset the flip-flop to a "0" state, and the S input is used to set the flip-flop to a "1" state. The truth table of RS Flip-flop shows the different states that the Flip-flop can have based on the input. However, it's important to keep in mind that it has a limitation that it cannot be in both states simultaneously.


Q. WHAT ARE THE ADVANTAGES OF TTL CIRCUITS TTL NAND GATE AND EXPLAIN ITS OPERATION

TTL, or Transistor-Transistor Logic, is a type of digital logic circuit that uses bipolar transistors to implement logic gates and other digital functions. TTL circuits have several advantages over other types of digital logic circuits:


High speed: TTL circuits can operate at high speeds, making them suitable for use in high-frequency or high-speed digital systems.


High noise immunity: TTL circuits are relatively immune to noise and other disturbances, which makes them suitable for use in noisy environments.


High power efficiency: TTL circuits are relatively power efficient, which makes them suitable for use in portable or battery-powered devices.


Widely available: TTL circuits are widely available and have been used in a wide range of digital systems, from simple logic gates to complex microprocessors.


A TTL NAND gate is a digital logic gate that performs the NAND (Not-And) operation. The NAND operation is equivalent to the AND operation followed by a NOT operation.


The TTL NAND gate has one or more inputs and one output. The input(s) are connected to the base of the transistor, and the output is connected to the collector of the transistor. When all the input(s) are high, the base-emitter junction of the transistor is forward-biased, which turns the transistor ON and the collector voltage is low. When one or more inputs are low, the base-emitter junction of the transistor is reverse-biased, which turns the transistor OFF and the collector voltage is high. The output is the inverse of the input.


In summary, TTL (Transistor-Transistor Logic) is a type of digital logic circuit that uses bipolar transistors to implement logic gates and other digital functions. It has several advantages such as high speed, high noise immunity, high power efficiency, and widely available. The TTL NAND gate is a digital logic gate that performs the NAND operation, where the output is the inverse of the input and it's obtained by the use of transistors that turn ON and OFF based on the input voltage.


Q. WRITE SHORT NOTE 
SHANNON'S THEOREM FOR CHANNEL CAPACITY
BFSK MODULATION
QUANTIZATION ERROR
FLASH RAM
DEMULTI PLIER
NYQUIST SAMPLING THEOREM

Shannon's Theorem for Channel Capacity: Shannon's Theorem is a fundamental result in the field of information theory, which states that the maximum rate at which information can be transmitted over a noisy channel is equal to the channel's capacity. The channel capacity is the highest data rate that can be transmitted over a noisy channel without errors. It is determined by the channel's noise level and the desired level of error.


BFSK Modulation: Binary Frequency Shift Keying (BFSK) is a type of frequency shift keying (FSK) modulation method in which digital information is represented by the frequency of a carrier wave. BFSK uses two different frequencies, one for representing the binary "1" and another for representing the binary "0".


Quantization Error: Quantization error is the difference between the analog signal and its digital representation after quantization, which is the process of converting a continuous signal into a discrete signal. It is caused by the limited resolution of the quantization process and it results in loss of information.


Flash RAM: Flash RAM is a type of non-volatile memory that can be erased and reprogrammed in blocks, rather than one byte at a time. It is widely used in applications such as USB drives, digital cameras, and mobile phones. Flash memory has a limited number of write cycles, after which it becomes unreliable, but it has a much longer lifespan than traditional RAM.


Demultiplier: A demultiplier is a circuit or device that is used to separate a composite signal into its individual components. It is the opposite of a multiplier, which combines multiple signals into a composite signal. Demultipliers are commonly used in telecommunications and signal processing applications.


Nyquist Sampling Theorem: The Nyquist Sampling Theorem states that a continuous-time signal can be accurately reconstructed from its samples if the sampling rate is greater than twice the highest frequency present in the signal. It is a fundamental result in the field of digital signal processing and it is used to determine the minimum sampling rate required to accurately represent a signal.

No comments