Digital Circuits Quiz: Binary Counters and Flip-Flops

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Questions and Answers

What triggers the reset of the counter in the described circuit?

  • A logic 1 signal at the reset terminal (correct)
  • The highest binary number reached
  • The lowest binary number reached
  • A falling edge pulse

The least significant bit (LSB) changes the least often in a binary counter.

False (B)

What is the sequence of numbers shown on the counter's display in binary counting?

0, 1, 2, 3, 4, 5, 6, 7, 8

The reset terminal of a counter labeled R is active ______, meaning a logic 0 is needed to reset the counter.

<p>low</p> Signup and view all the answers

Match the outputs of the counter with their corresponding significance:

<p>A = Least Significant Bit (LSB) B = Next Significant Bit C = Next Significant Bit D = Most Significant Bit (MSB)</p> Signup and view all the answers

What is the primary purpose of a D-type flip-flop?

<p>To store a single bit of data (B)</p> Signup and view all the answers

The output of the D-type flip-flop changes immediately when the D input changes.

<p>False (B)</p> Signup and view all the answers

What happens to the Q output when the switch S2 is momentarily pressed?

<p>The Q output is reset.</p> Signup and view all the answers

The D-type flip-flop is considered to be ____ triggered.

<p>rising edge</p> Signup and view all the answers

What does the most significant bit (MSB) represent in a binary number?

<p>The highest value bit (C)</p> Signup and view all the answers

Match the following components with their actions:

<p>D-type flip-flop = Stores a single bit of data Counter ICs = Counts binary values Clock pulse = Aligns data flow Switch S2 = Resets output state</p> Signup and view all the answers

A 4-bit counter can count from 0 to 15.

<p>True (A)</p> Signup and view all the answers

What frequency behavior is exhibited by the Q output compared to the clock signal?

<p>It has half the frequency of the clock signal (D)</p> Signup and view all the answers

A binary counter can be created by adding multiple D-type flip-flops.

<p>True (A)</p> Signup and view all the answers

What type of counters are more suitable for 3 bits or more?

<p>Counter ICs</p> Signup and view all the answers

What binary digit is referred to as the least significant bit (LSB)?

<p>The binary digit in the A column.</p> Signup and view all the answers

An 8-bit counter can count from 0 to __________.

<p>255</p> Signup and view all the answers

Match the counter types with their characteristics:

<p>Up counter = Counts upward from 0 Down counter = Counts downward to 0 Up/Down counter = Counts both upward and downward BCD counter = Counts in binary coded decimal</p> Signup and view all the answers

Which component is often used to build a 2-bit binary up counter?

<p>D-type flip-flops (B)</p> Signup and view all the answers

A single clock input is required for both counters in a two 1-bit counter setup.

<p>True (A)</p> Signup and view all the answers

How does a counter reset at a given value?

<p>By applying an external reset</p> Signup and view all the answers

What type of system involves feedback where the previous state of the output affects the current state?

<p>Sequential system (D)</p> Signup and view all the answers

A D-type flip-flop can only be used for data transfer and cannot function as a latch.

<p>False (B)</p> Signup and view all the answers

What is the primary function of a monostable timer?

<p>To maintain one stable state.</p> Signup and view all the answers

The two stable states of a bistable system allow the output to switch between logic _____ and logic _____.

<p>0, 1</p> Signup and view all the answers

Match the following components with their uses:

<p>D-type flip-flop = Used in data transfer and latches Monostable timer = Maintains one stable state Astable timer = Has no stable states Binary counter = Counts events such as items on a conveyor belt</p> Signup and view all the answers

Which of the following statements about the D-type flip-flop is true?

<p>It can be configured to create a divide-by-two function. (D)</p> Signup and view all the answers

A bistable flip-flop will change output states continuously as inputs change.

<p>False (B)</p> Signup and view all the answers

What is the purpose of a rising edge clock pulse in a D-type flip-flop?

<p>To transfer the logic state from the D input to the Q output.</p> Signup and view all the answers

Flashcards

Bistable

A type of circuit that has two stable states, meaning it can be switched between a logic 0 and logic 1 state and will remain in that state indefinitely. It requires a trigger to change states.

D-type flip-flop

A type of flip-flop that transfers the logic state present at its D input to its Q output when triggered by a rising edge on its clock input.

Latch

A circuit that can be created using a D-type flip-flop where the D input is permanently connected to a logic 1 and the circuit becomes a latch when a clock pulse is applied. It retains a state until the clock pulse triggers the change.

Binary Counter

A circuit that uses D-type flip-flops in a way that allows it to count up or down. By connecting the Q output back to the D input and using a clock signal, you can create a counter.

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Data Transfer

A type of circuit that uses D-type flip-flops to transfer data from one terminal to another. It's triggered by a rising edge on a clock pulse.

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Rising Edge Trigger

The output of a D-type flip-flop only changes when there is a rising edge on the clock input signal. This ensures that the data transfer happens at a specific moment.

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Divide-by-Two Function

A circuit that can be created using D-type flip-flops by connecting the Q output back to the D input. This circuit is used to divide the frequency of the clock signal by two. It outputs one pulse for every two clock pulses.

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Feedback

The state of the output in a sequential logic system is affected not only by the input but also by the previous output. This creates a chain reaction where the output influences future outputs.

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Rising-edge Triggered D-type Flip-flop

A type of flip-flop where the output (Q) changes only when the clock signal transitions from logic 0 to logic 1 (rising edge).

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Binary Up Counter

A circuit that counts in binary, increasing its output by 1 for each clock pulse.

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Divide-by-two Circuit

A type of flip-flop that acts as a basic building block for binary counters. It divides the clock signal frequency by 2.

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1-bit Counter

A circuit that stores a single bit of data (0 or 1).

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Least Significant Bit (LSB)

The least significant bit in a binary number. It's the bit that changes most often.

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Counter IC

A special electronic component that can store and process digital information.

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Clock Sensitivity

The ability of circuits like flip-flops to only respond to specific changes in the clock signal.

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Clock Signal Generator

A circuit that produces a clock pulse, which acts as a timing signal for other electronic components.

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Counter Reset

The counter IC is reset to a specific binary value when the clock pulse reaches a certain point in the counting sequence.

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Resetting for a Specific Sequence

The counter resets to a value one higher than the desired ending number in the sequence. For example, to count up to 8, reset at 9.

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Active High

A signal that activates a circuit when it goes from a low logic state (0) to a high logic state (1).

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Active Low

A signal that activates a circuit when it goes from a high logic state (1) to a low logic state (0).

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What is the most significant bit (MSB)?

The most significant bit (MSB) is the leftmost bit in a binary number. It holds the largest place value and is responsible for the most significant changes in the value.

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What is a 2-bit counter?

A 2-bit counter is a digital circuit that can count from 0 to 3 in binary. It is typically built using two D-type flip-flops connected in a specific way.

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What is a counter IC?

A counter IC is a single chip device containing a pre-designed counter circuit. It simplifies the process of building a counter by eliminating the need to connect multiple logic gates.

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How does the number of bits affect a counter?

The number of bits in a counter determines the maximum count it can reach. For example, a 4-bit counter can count from 0 to 15.

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What is a binary up-counter?

A binary up-counter counts upwards from 0 in binary. Each clock pulse increments the count by one.

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What is a binary down-counter?

A binary down-counter counts downwards from a starting value in binary, decrementing the count by one for each clock pulse.

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What is an up/down counter?

An up/down counter is a type of counter that can count both upwards and downwards, depending on the control signal applied.

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What is resetting a counter?

A reset signal is applied to a counter to force its count value to a specific value, usually 0. This allows the counter to start counting from a predetermined point.

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Study Notes

Sequential Systems

  • Sequential logic systems use feedback, where the previous output affects the output when inputs change.
  • D-type flip-flops are components with two stable states (logic 0 or 1).
  • They can be used for data transfer, latches, and counters.
  • Data transfer happens on the rising edge of a clock pulse, copying the D input to the Q output.
  • A latch keeps data stable until reset. A momentary press on a switch (rising edge) copies a logic 1 to the output Q; pressing a different switch (S2) resets the latch.

Data Transfer

  • When a logic 1 signal is applied to the Clock input, the logic state of the D input is copied to the Q output.
  • This transfer only occurs during the transition from logic 0 to logic 1 in the clock signal (rising edge).
  • Subsequent changes to the D input are ignored until another rising edge.

Latches

  • D-type flip-flops can be used to create latches.
  • A continuous logic 1 on the D input keeps the Q output at logic 1 until a reset signal is applied.
  • The latch can temporarily store data.

Binary Counters

  • Used for counting events, like boxes on a conveyor belt.
  • D-type flip-flops can be configured to divide the clock frequency by two.
  • This means the output frequency is half of the input clock frequency.
  • This is a simple frequency divider.

2-Bit Binary Up Counter

  • A 2-bit counter consists of two 1-bit counters connected.
  • The clock input of the second counter is connected to the Q output of the first.
  • The counter counts up in binary.
  • QA and QB outputs change sequentially as the clock pulses, starting at 00 and ending in 11.

Counter ICs

  • Integrated circuits (ICs) that provide counter functions.
  • More efficient for 3+ bit counters, reducing connections compared to multiple flip-flops.
  • Counters can have up, down, up/down counting options; edge-triggered (rising/falling)
  • Resetting a counter at a specific value is possible (active high/low reset).

Binary Count Types

  • The number of bits determines the maximum count (e.g., 4-bit counts up to 15 in binary).
  • Types exist for direction of counting (up/down), edge triggered (rising/falling), or binary coded decimal (BCD).

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