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CMOS Logic Circuits

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Logic Values

• Logic values = {0, 1} • A logic value, 0 or 1, is called as BInary DigiT or

BIT.• Physical states representing bits in digital

technologies:

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Encoding Bits

• Information can be encoded using:– Current, Voltage, Phase, Frequency

• Digital systems use two voltage levelsvoltage levels for encoding bits.– LOW: A signal close to the GND– HIGH: A signal close to the VCC

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Encoding Bits

• Positive logic – High: 1 and Low: 0– Our convention in this course

• Negative logic– High: 0 and Low: 1

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Logic Gates

• Gates are basic digital devices.– A gate takes one or more inputs and produces an output.– Inputs are either 0 or 1.

• Although they may have very different values of voltage.– Output is either 0 or 1.– A logic gate’s operation is fully described by a truth table.

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Logic Families – What is inside of a logic gate?• A logic family is a collection of different integrated-

circuit chips that have similar input, output, and internal circuit characteristics, but that perform different logic functions.

• Logic gates are made from transistors.– TTL (Transistor-Transistor Logic) family gates are made

from bipolar transistors.– CMOS (Complementary Metal Oxide Semiconductor)

family logic gates are made from MOS transistors.

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MOS Transistors – N-type MOSFET

• OFF (open circuit) : when gate is logical zero• ON (short circuit) : when gate is logical one• Passes a good logical zero• Degrades a logical one

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MOS Transistors – P-type MOSFET

• OFF (open circuit) : when gate is logical one• ON (short circuit) : when gate is logical zero• Passes a good logical one• Degrades a logical zero

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CMOS Logic Gates

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Inverter

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Inverter

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NAND – Not AND

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NAND

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NOR – Not OR

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Non-inverting Buffer

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AND Gate

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OR Gate

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CMOS Electrical Characteristics

• Digital analysis works only if circuits are operated in specs:– Power supply voltage– Temperature– Input-signal quality– Output loading

• Must do some “analog” analysis to prove that circuits are operated in spec.– Fan-out specs– Timing analysis (setup and hold times)– Analysis involves only consequences of V = IR (static)

and q = CV (dynamic)

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CMOS Electrical Characteristics

• Logic voltage levels• DC noise margin• Fan-in• Fan-out• Speed• Power consumption

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Data Sheets

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Logic Levels

• Typical transfer characteristic of a CMOS inverter:– LOW input level: < 2.4 Volt– HIGH input level: > 2.6 Volt

• Transfer characteristic depends on power-supply voltage, temperature and output loading.

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Logic Levels

• Should use more conservative specifications for LOW and HIGH– VILmax: max input voltage guaranteed to be recognized as a LOW

level• 30% of VCC

– VOLmax: max output voltage in the LOW level• GND + 0.1 V

– VOHmin: min output voltage in the HIGH level• VCC – 0.1 V

– VIHmin: min input voltage guaranteed to be recognized as a HIGH level• 70% of VCC

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Logic LevelsVIHminVOHmin

VILmaxVOLmax

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DC Noise Margins

• DC noise margin is a measure of how much noise it takes to corrupt a worst-case output voltage into a value that may not be recognized properly by an input.– Noise Margin Low = VILmax – VOLmax

= 1.35 – 0.1 = 1.25 V– Noise Margin High = VOHmin – VIHmin

= 4.4 – 3.15 = 1.25 V

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Input Currents

• CMOS gate inputs consume very little current, only the leakage current of the two transistors’ gates.– IIH: max current that flows into the input in HIGH state– IIL: max current that flows into the input in LOW state

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DC Output Loading

• An output must sink current from a load when the output is in the LOW state.

• An output must source current to a load when the output is in the HIGH state.

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DC Output Loading Specs

• VOLmax and VOHmin are specified for certain output-current values, IOLmax and IOHmax.– IOLmax: max current that output can sink in the LOW state

while still maintaining an output voltage no greater than VOLmax

– IOHmax: max current that output can source in the HIGH state while still maintaining an output voltage no less than VOHmin

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DC Output Loading - Output-voltage Drops• Resistance of “off” transistor is > 1 Megaohm, but

resistance of “on” transistor is nonzero,– Voltage drops across “on” transistor, V = IR

• For “CMOS” loads, current and voltage drop are negligible.

• For TTL inputs, LEDs, terminations, or other resistive loads, current and voltage drop are significant and must be calculated.

• If too much load, output voltage will go outside of valid logic-voltage range.– VOHmin, VIHmin

– VOLmax, VILmax

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Fan-in

• The number of inputs that a gate can have in a particular logic family is called the logic family’s fan-in.– You could design a CMOS NAND or NOR gates with a very

large number of inputs.– In practice, additive “on” resistance of series transistors

limits the fan-in of CMOS gates – Lower speed.• Max fan-in = 4 for NOR, 6 for NAND

3-input NAND gate

7-input NAND gate using 4-input NAND gates

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Fan-out

• The fan-out of a gate is the number of inputs that the gate can drive without exceeding its worst-case loading specifications.– Characteristics of the gate’s output– Characteristics of the inputs that it is driving

• DC fan-out: The number of inputs that an output can drive with the output in a constant state (high or low).

• AC fan-out: The ability of an output to charge or discharge the stray capacitance associated with the inputs that it drives.– If the capacitance is too large, the transition from low to

high (or vice versa) may be too slow, causing improper system operation.

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DC Fan-out Calculation

• LOW state: The sum of the IIL values of the driven inputs may not exceed IOLmax of the driving output.

• HIGH state: The sum of the IIH values of the driven inputs may not exceed IOHmax of the driving output.

Low State Fan-out= 20 μA/1 μA= 20High State Fan-out= 20 μA/1 μA= 20

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AC Loading

• AC loading has become a critical design factor as industry has moved to pure CMOS systems.– CMOS inputs have very high impedance, DC loading is

frequently negligible (low fan-outs).– CMOS inputs and related packaging and wiring have

significant capacitance.– Time to charge and discharge capacitance is a major

component of delay.• Gate’s speed and power consumption depend on

the AC characteristics of the gate and its load.

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Transition Time

• The amount of time that the output of a logic circuit takes to change from one state to another is called the transition time.– tR : rise time – time to chage from low to high– tF : fall time – time to chage from high to low

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Transition Time

• The rise and fall times of a CMOS output depend mainly on– “on” transistor resistance– capacitive load

• Capacitive load = Stray capacitance = AC load– Output circuits: A gate’s output transistors, internal wiring,

packaging– The wiring that connects an output to other inputs– Input circuits: A gate’s input transistors, internal wiring,

packaging

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Propagation Delay

• The propagation delay is the amount of time that it takes for a change in the input signal to produce a change in the output signal.– tPHL : high-to-low propogation time– tPLH : low-to-high propogation time– tPD : propogation delay; tPD= max (tPHL, tPLH)

• tPD determines the gate speed

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Power Consumption

• Static power consumption: Power consumption when the circuit’s output is not changing– Very low static power consumption for CMOS circuits

• Attractive for low-power applications• Power consumption due to the leakage currents

• Dynamic power consumption: Power consumption when the circuit’s output is in transitionPD = (CPD + CL) x (VCC)2 x f

– PT : Dynamic power consumption– VCC: Power-supply voltage– f: Transition frequency of the output signal– CPD : Power-dissipation capacitance – Specified by the device

manufacturer and around 20-24 pF – CL : Load capacitance

CMOS Logic Family

• 4000 series– First commercially successful CMOS family– Fairly slow and not easy to interface to TTL

• CMOS device part number: 74FAMnn or 54FAMnn– HC/HCT: High speed CMOS/ High speed CMOS, TTL

compatible– FCT/FCT-T: Fast CMOS/ Fast CMOS, TTL compatible– VHC/VHCT: Very high speed CMOS/ Very high speed

CMOS, TTL compatible

CMOS-TTL Interface

• DC noise margin– CMOS outputs driving TTL inputs: Ok– TTL outputs driving CMOS inputs: CMOS device must be

HCT, VHCT or FCT• Fan-out

– TTL outputs driving CMOS inputs: Ok– CMOS outputs driving TTL inputs: Limited

• Capacitive loading– Increasing delay and power consumption– All CMOS families have similar dynamic power

consumption– TTL outputs have lower dynamic power consumption