Problems (5.16) - Logic Families - Part F - Digital Electronics - Vol 1
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Introduction to PMOS Logic Family

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Teacher
Teacher Instructor

Let's begin with the PMOS logic family. PMOS utilizes P-channel MOSFETs. Can anyone tell me what happens when the input is grounded?

Student 1
Student 1

The MOSFET remains in cut-off, so the output can go to a logic '1' state!

Teacher
Teacher Instructor

Exactly! When the input is at -V, the PMOS conducts and the output goes to near zero potential, which is logic '1'. This is a crucial feature.

Student 2
Student 2

So, PMOS is used as an active load, correct?

Teacher
Teacher Instructor

Right! The load MOSFET has a higher ON-resistance compared to the switches, allowing stable operations.

Teacher
Teacher Instructor

To summarize: PMOS logic is used for specific logic levels and is fundamental in creating inverters and NOR gates in digital circuits.

Understanding NMOS Logic Family

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Teacher Instructor

Now, let’s explore the NMOS logic family. Who can tell me what makes NMOS generally faster than PMOS?

Student 3
Student 3

I think it's the mobility of the charge carriers; electrons move faster than holes!

Teacher
Teacher Instructor

"Exactly! The higher electron mobility allows NMOS devices to perform operations quicker and with higher density.

Integrated Injection Logic (I2L) Family

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Teacher Instructor

Next, let's discuss Integrated Injection Logic or I2L. What unique feature does it have regarding its structure?

Student 1
Student 1

It uses a multicollector bipolar transistor with a current source driving its base, right?

Teacher
Teacher Instructor

Spot on! This design lends well to high integration levels for LSI and VLSI systems. What can influence the device speed in I2L?

Student 2
Student 2

The injection current can improve the speed. Higher currents allow faster charging!

Teacher
Teacher Instructor

Exactly! When the injection current increases, so does the speed—very efficient. Let’s recap: I2L is a competitive logic family due to its speed and compact nature.

Comparing Logic Families

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Teacher
Teacher Instructor

Lastly, how would you compare the PMOS, NMOS, and I2L families? What should you consider?

Student 3
Student 3

Speed comparison, right? NMOS is usually faster than PMOS, which is important in many circuits.

Student 4
Student 4

And I2L has unique advantages for high density appliocations!

Teacher
Teacher Instructor

Great observations! We must also think about power consumption and noise margins—very important in digital electronic design.

Teacher
Teacher Instructor

To conclude, the selected logic family impacts performance significantly, influencing design choices in digital electronics.

Introduction & Overview

Read summaries of the section's main ideas at different levels of detail.

Quick Overview

This section discusses different logic families used in digital circuits, including PMOS, NMOS, and I2L, and their respective advantages and applications.

Standard

The section explores various logic families such as PMOS, NMOS, and I2L, highlighting their unique characteristics, such as speed, density, and applications in digital circuits. It explains how these families interact and their relevance within integrated circuits.

Detailed

Detailed Summary

This section delves into several logic families that are central to digital electronics, focusing particularly on PMOS (P-channel MOSFET), NMOS (N-channel MOSFET), and Integrated Injection Logic (I2L). Each logic family presents unique properties and functionalities:

PMOS Logic Family

  • Structure: Utilizes P-channel MOSFETs, with distinct behaviors in inverter and NOR configurations.
  • Operation: When the input is grounded (logic '1'), the P-channel MOSFET remains cut off. Conversely, if the input is near (-V), it conducts, leading the output to a near-zero potential (logic '1').
  • Key Applications: Commonly employed in static logic constructions.

NMOS Logic Family

  • Structure: Employs N-channel MOSFETs, which provide higher speed and density than PMOS.
  • Performance: NMOS logic circuits—involving various configurations like inverters and NAND gates—are crucial in memory devices and microprocessors because of their enhanced mobility and compact design.

Integrated Injection Logic (I2L)

  • Features: I2L incorporates multicollector bipolar transistors driven by a current source, enabling high density and speed.
  • Operation: Logic levels are based on the injected current, significantly influencing device speed and power management.

Comparison of Logic Families

  • The section also includes a performance comparison table, showcasing critical parameters like supply voltage, propagation delay, and power characteristics across different logic families, including TTL and ECL.

Overall, the section emphasizes the importance of selecting the appropriate logic family based on specific application requirements and design constraints.

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Problem 1: Speed-Power Product Calculation

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  1. The data sheet of a quad two-input AND gate (type 74S08) specifies the propagation delay and power supply parameters as V = 5.0V (typical), I (for all four gates) = 18mA, I (for all four gates) = 32mA, t = 4.5ns and t = 5.0ns. Determine the speed–power product specification.

Detailed Explanation

In this problem, we need to calculate the speed-power product for a two-input AND gate. The speed-power product is a performance metric that combines the propagation delay of the gate with the power consumption. It is calculated using the formula: speed-power product = (Propagation delay) * (Power consumption).

From the given data:
- Propagation delay t_pHL (when the output changes from high to low) = 4.5 ns
- Propagation delay t_pLH (when the output changes from low to high) = 5.0 ns
To find average delay, we use the maximum values for safety. The corresponding currents are already provided: the current drawn during low and high states, which can be used to calculate power as follows:
- Power = Voltage x Current = 5.0V * (I_CCH + I_CCL)/2.
Where I_CCH = 18mA and I_CCL = 32mA. Now, we calculate the average current: (18mA + 32mA)/2 = 25mA. Thus, power = 5V * 0.025A = 0.125W.
Now, speed-power product = (average delay in seconds) * (power in Watts).
Therefore, the speed-power product becomes (averaged 4.5ns + 5.0ns) * 0.125W.

Examples & Analogies

Think of speed-power product like fuel efficiency for a car. The propagation delay is akin to the time it takes for the car to reach a certain speed, while the power consumption is like the fuel it uses. A car that is fast but consumes a lot of fuel may not be as efficient as another that is slightly slower but uses less fuel. Similarly, in electronics, we want components that can operate quickly without using too much power, which is why we calculate the speed-power product.

Problem 2: Driving Capacities of TTL Devices

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  1. How many inputs of a low-power Schottky TTL NAND can be reliably driven from a single output of a Schottky TTL NAND, given the following relevant specifications for the devices of two TTL subfamilies: Schottky TTL: I = 1.0mA; I = 0.05mA; I = 20.0mA; I = 2.0mA OH IH OL IL Low-power Schottky TTL: I = 0.4mA; I = 0.02mA; I = 8.0mA; I = 0.4mA OH IH OL IL.

Detailed Explanation

In this problem, we are asked to determine how many inputs from the low-power Schottky TTL NAND can be driven by a single output of a Schottky TTL NAND. To solve this, we will look at the maximum output high current (I_OH) provided by the Schottky device, which is 1.0mA.
Given the specifications, the low-power Schottky NAND can sink (or absorb) a maximum input low current (I_IL) of 2.0mA for each input.
To find how many inputs can be supported by 1 mA from the Schottky output, we divide the output current by the input requirement: I_OH / I_IL = 1.0mA / 0.4mA = 2.5. Since we cannot have a fraction of an input, we round down to two inputs. This means that a single output can reliably drive two low-power Schottky NAND inputs.

Examples & Analogies

Imagine a water faucet that can provide a certain amount of water per minute (like the output current). You have a few small buckets (like the inputs) that need filling. If each bucket can only hold a certain amount of water, you must figure out how many buckets you can fill before the faucet runs dry. If one bucket can take in 0.4 liters, a faucet providing 1 liter of water can fill two buckets completely, thus giving you an idea of its capacity.

Problem 3: Current Sourced and Sunk by NAND Gate

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  1. Refer to the logic diagram in Fig. 5.66. Determine the current being sourced by the NAND gate when its output is HIGH and also the current sunk by it when its output is LOW, given that I (AND gate) = 0.02mA, I (AND gate) = 0.4mA, I (OR gate) = 0.04mA, I (OR gate) = 1.6mA, I (NAND gate) = 1.0mA, I (NAND gate) = 20.0mA.

Detailed Explanation

To determine the current sourced and sunk by the NAND gate, we need to follow its behavior when the output is HIGH and LOW.
When the NAND gate output is HIGH, it sources current. The maximum sourcing capacity in this scenario is considered (1.0mA).
When the output is LOW, the device sinks current. From the specification, the current sunk by the NAND in the LOW state is 20.0mA. Therefore, we arrive at two important values for this logic gate: when HIGH it sources 1.0mA, and when LOW it sinks 20.0mA.

Examples & Analogies

Think of a park with a toll booth. When cars drive up to the booth (representing current sourcing), only a limited number can pass through at once – like the 1.0 mA. When the gate closes (current sinking), additional cars can pile up waiting to pass through, illustrating how a gate can handle a larger capacity of current when closed, up to 20.0mA.

Problem 4: Logic Expression for CMOS Circuit

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  1. Write the logic expression for the CMOS circuit of Fig. 5.67.

Detailed Explanation

In this problem, we need to analyze the given CMOS circuit in Figure 5.67 to derive its logic expression. To formulate the logic expression, we will identify how the inputs interact to affect the output.
The figure suggests that the output Y will be true (or high) when either A is true or B is true, hence forming an OR operation. Additionally, when both A and B are LOW, it indicates an AND operation on the inverse of both inputs. This can be expressed in logic as Y = (A OR B) AND (NOT A AND NOT B). The final expression turns into a simpler logic equation, which is Y = A.B + A'B'.

Examples & Analogies

Think of this circuit like deciding whether to go out based on whether it is sunny (A) or cloudy (B). If it's sunny or cloudy, you're ready to go out. However, if you're stuck inside because it's neither sunny nor cloudy, that's when you decide to stay. Thus, like the AND and OR logic gates that react to A and B, you're reacting to the weather. The more complex decision-making pathways illustrate the way the logic gates combine and relate to one another.

Problem 5: Reliability Calculation for CMOS Outputs

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  1. Refer to the data given for 4000B-series CMOS, 74LS-TTL, and 74HCT CMOS logic. Determine: (a) the number of 74LS-TTL inputs that can be reliably driven from a single 4000B output; (b) the number of 74LS-TTL inputs that can be reliably driven from a single 74HCT output.

Detailed Explanation

(a) For this part, we use the provided specification values to assess how many inputs a single output can drive.
From the predefined data of 4000B: I_OH = 0.4mA; I_IH = 1.0µA; I_IL = 0.4µA; I_IL = 1.0µA.
The total available output current from a 4000B CMOS part is 0.4mA, which can drive TTL inputs with an IOH of 0.4mA capacitively, thus supporting 1 input.
(b) Next, from the 74HCT specification: I_OH = 4.0mA; I_IH = 1.0µA; I_IL = 4.0µA; I_IL = 1.0µA. Also, if we apply a typical output capability of 4mA on a 74HCT output, and each 74LS-TTL requires 0.2mA for HIGH, we divide: 4.0mA / 0.2mA = 20. Therefore, 20 inputs can be supported.

Examples & Analogies

Imagine a single water tank (the output) that needs to supply water to several gardens (the inputs). The water tank has a specific flow rate (current output) – how many gardens can comfortably be watered with that flow? If you know how much water (current) each garden needs (input current requirement) to thrive, you can easily calculate how many gardens can be adequately supplied from that one tank.

Key Concepts

  • Logic Families: Groups of logic circuits classified by unique characteristics.

  • PMOS Logic: Uses P-channel MOSFETs, slower than NMOS.

  • NMOS Logic: Uses N-channel MOSFETs, offers speed advantage.

  • I2L: Integrated Injection Logic, uses current for operation.

  • Circuit Configurations: Basic arrangements like inverters and gates used in digital design.

Examples & Applications

PMOS inverters and NOR gates are fundamental in building digital circuits.

NMOS logic gates are prevalent in microprocessor designs where speed is crucial.

I2L is often used for high-density LSI applications.

Memory Aids

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Rhymes

PMOS is slow and steady, NMOS is fast and ready!

📖

Stories

Imagine PMOS as the older sibling who takes time to think, while NMOS acts quickly, the eager younger sibling who runs ahead!

🧠

Memory Tools

Remember 'PWM' - PMOS, WMOS, NMOS for different logic families.

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Acronyms

NICE = NMOS is Compact and Efficient for speed.

Flash Cards

Glossary

PMOS

A type of MOSFET that employs P-channel devices for digital circuitry.

NMOS

A type of MOSFET that uses N-channel devices providing higher speed and density.

I2L

Integrated Injection Logic, a logic family that utilizes current injection for operation.

Propagation Delay

The time it takes for a signal to travel through a circuit.

Fanout

The maximum number of inputs that can be driven by the output of a single gate.

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