---
title: "CMOS characteristics; TTL 2-input AND"
subject: "Digital Logic"
chapter: 10
key: "semester_3/digital_logic:cmos-characteristics-ttl-and"
source: https://www.bctengineer.com/q/semester_3/digital_logic/cmos-characteristics-ttl-and
site: BCT Engineering
---

# CMOS characteristics; TTL 2-input AND

Digital Logic · Chapter 10: Digital Integrated Circuits

- Asked in: 2078 Bhadra, 3+4 marks
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_3/digital_logic/cmos-characteristics-ttl-and
- Whole chapter: https://www.bctengineer.com/md/semester_3/digital_logic/chapter-10

## Question

Explain the characteristics of CMOS logic families. Draw the schematic diagram of TTL 2-input AND gate and explain with necessary diagrams.

## Short answer

CMOS features very low static power (nW), dynamic power CL·VDD²·f, a wide supply range (3–15 V for 4000B), high noise margin (~30% VDD), fan-out ~50, and is sensitive to static. A TTL 2-input AND gate has a NAND front-end (multi-emitter Q1 and phase splitter Q2) followed by an inverter (Q3) and totem-pole output; Y = A·B. When both inputs are high, Q2 conducts, turning Q3 off and giving Y=1; otherwise Q2 is off and Y=0.

## Answer

#### Characteristics of CMOS logic families

**CMOS** (complementary MOS) logic uses a PMOS pull-up and an NMOS pull-down network in each gate. Its main characteristics:

| Characteristic | CMOS (4000B / 74HC, 5 V) |
|---|---|
| Supply voltage | 3–15 V (4000B), 2–6 V (74HC) |
| Static power | almost zero (nW per gate): one network is always OFF |
| Dynamic power | $P_D = C_L V_{DD}^2 f$, grows with frequency |
| Noise margin | high, about 30% of $V_{DD}$ (≈ 1.4 V at 5 V) |
| Propagation delay | 25–100 ns (4000B), 8–10 ns (74HC) |
| Fan-out | about 50 (inputs draw almost no current) |
| Input impedance | very high (≈ $10^{12}$ Ω) |
| Weakness | damaged by static charge; unused inputs must not float |

#### TTL 2-input AND gate
A **TTL AND gate** (7408) is a NAND input stage followed by one more inverting stage and the totem-pole output, so the output is the complement of NAND.

```text
 Input section (NAND stage):
             +5 V
   +----------+
 R1 4k      R2 4k
   |          |
   b          +------- X
A--e  Q1      |
B--e    c--+  c
           +--b Q2
              e
              |
            R4 1k
              |
             GND
```

```text
 Output section (common to AND and OR):
              +5 V
          +------+------+
       R3 1.6k       R5 130
          |             |
          +------+      c
          |      +----b Q4
          c             e
 X -----b Q3            |
          e            D1
          |             |
          +------+      +----- Y
          |      |      c
        R6 1k    +----b Q5
          |             e
 GND -----+-------------+
```

Node X (collector of Q2) drives the base of Q3. Q1 = multi-emitter input, Q2 = NAND stage, Q3 = phase splitter, Q4–D1–Q5 = totem-pole output.

**Operation:**
- **Any input LOW:** Q1's base is held at about 0.9 V, so **Q2 is OFF**. Node X is pulled up by R2 and supplies base current to Q3, so **Q3 turns ON**, which turns **Q5 ON** and Q4 OFF → **Y = 0**.
- **A = B = 1:** Q1's base current goes into Q2, so **Q2 saturates** and pulls node X (Q3's base) LOW → **Q3 OFF** → Q5 OFF, Q4 ON → **Y = 1**.

| A | B | Q2 | Q3 | Q5 | Y |
|---|---|---|---|---|---|
| 0 | 0 | OFF | ON | ON | 0 |
| 0 | 1 | OFF | ON | ON | 0 |
| 1 | 0 | OFF | ON | ON | 0 |
| 1 | 1 | ON | OFF | OFF | 1 |

So $Y = AB$. Because of the extra stage, a TTL AND gate has a slightly longer delay than a TTL NAND.

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. Why is CMOS static power almost zero?
   A. Its supply voltage is tiny
   B. One of the pull-up/pull-down networks is always OFF
   C. It uses bipolar transistors in saturation
   D. Its inputs are shorted to ground
   Answer: B. No DC path exists between VDD and ground in steady state. (Key point: CMOS static power)

2. What is the input impedance of CMOS?
   A. Very high, about 10^12 ohm
   B. About 1 kilo-ohm
   C. About 130 ohm
   D. About 4 kilo-ohm
   Answer: A. The insulated MOS gate draws almost no current. (Key point: Input impedance)

3. How is a TTL AND gate (7408) built from the NAND?
   A. Two NAND gates in parallel
   B. NOR stage followed by a diode
   C. NAND input stage followed by an extra inverting stage and then a totem-pole output
   D. Open-collector NAND with pull-up resistor
   Answer: C. An extra inversion converts NAND to AND. (Key point: AND gate structure)

4. With any input LOW in the AND gate, why is Y = 0?
   A. Q2 saturates and turns Q4 ON
   B. Q3 is OFF so Q5 is OFF
   C. Q1's base is at VCC
   D. Q2 is OFF, node X turns Q3 ON, which turns Q5 ON and Q4 OFF
   Answer: D. Q2 OFF lets R2 drive Q3, so the pull-down Q5 conducts. (Key point: AND operation, inputs low)

5. With A = B = 1, why is Y = 1?
   A. Q2 saturates, pulling X low, so Q3 and Q5 are OFF and Q4 is ON
   B. Q2 is OFF so Q3 is ON
   C. Q3 saturates and Q5 conducts
   D. Q1 conducts through its emitters
   Answer: A. With Q3 OFF, Q5 is OFF and Q4 pulls Y HIGH. (Key point: AND operation, all high)

6. Why does a TTL AND gate have a slightly longer delay than a NAND?
   A. It has no totem pole
   B. It has an extra inverting stage
   C. It uses larger supply voltage
   D. It has more input emitters
   Answer: B. One more stage adds delay. (Key point: Delay)

## Related in Digital Logic

- [2-input TTL NAND; CMOS characteristics](https://www.bctengineer.com/question.md?key=semester_3%2Fdigital_logic%3Attl-nand-cmos-characteristics) — Digital Logic, chapter 10
- [TTL NOR gate; CMOS characteristics](https://www.bctengineer.com/question.md?key=semester_3%2Fdigital_logic%3Attl-nor-cmos-characteristics) — Digital Logic, chapter 10
- [2-input TTL NOR gate](https://www.bctengineer.com/question.md?key=semester_3%2Fdigital_logic%3Attl-nor-2input) — Digital Logic, chapter 10
- [TTL NOR gate; 74XX characteristics](https://www.bctengineer.com/question.md?key=semester_3%2Fdigital_logic%3Attl-nor-74xx-characteristics) — Digital Logic, chapter 10
- [3-input CMOS gate](https://www.bctengineer.com/question.md?key=semester_3%2Fdigital_logic%3Acmos-three-input-gate) — Digital Logic, chapter 10
- [2-input TTL NAND gate](https://www.bctengineer.com/question.md?key=semester_3%2Fdigital_logic%3Attl-nand-2input) — Digital Logic, chapter 10

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