Delay of AND-OR Gate in Gray Cell Calculator

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✖The critical path delay is the sum of the delays of the shifter, the conditional complementer (for the subtraction), the adder, and the register.ⓘ Critical Path Delay [T_delay]			+10% -10%
✖Total Propagation delay typically refers to the rise time or fall time in logic gates. This is the time it takes for a logic gate to change its output state based on a change in the input state.ⓘ Total Propagation Delay [t_pd]			+10% -10%
✖XOR Gate delay defined as the delay of 2 that gates of XOR have, because they are really made up of a combination of ANDs and ORs.ⓘ XOR Gate Delay [t_XOR]			+10% -10%
✖Gates on Critical Path are defined as the total number of the logic gate required during one cycle time in CMOS.ⓘ Gates on Critical Path [N_gates]			+10% -10%

✖Delay of AND OR Gate in the gray cell is defined as the delay in the computing time in AND/OR gate when logic is passed through it.ⓘ Delay of AND-OR Gate in Gray Cell [t_AO]

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Formula

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Delay of AND-OR Gate in Gray Cell

Formula

`"t"_{"AO"} = ("T"_{"delay"}-"t"_{"pd"}-"t"_{"XOR"})/("N"_{"gates"}-1)`

Example

`"21.88889ns"=("300ns"-"71ns"-"32ns")/("10"-1)`

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Delay of AND-OR Gate in Gray Cell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Delay of AND OR Gate = (Critical Path Delay-Total Propagation Delay-XOR Gate Delay)/(Gates on Critical Path-1)
t_AO = (T_delay-t_pd-t_XOR)/(N_gates-1)
This formula uses 5 Variables

Variables Used

Delay of AND OR Gate - (Measured in Second) - Delay of AND OR Gate in the gray cell is defined as the delay in the computing time in AND/OR gate when logic is passed through it.
Critical Path Delay - (Measured in Second) - The critical path delay is the sum of the delays of the shifter, the conditional complementer (for the subtraction), the adder, and the register.
Total Propagation Delay - (Measured in Second) - Total Propagation delay typically refers to the rise time or fall time in logic gates. This is the time it takes for a logic gate to change its output state based on a change in the input state.
XOR Gate Delay - (Measured in Second) - XOR Gate delay defined as the delay of 2 that gates of XOR have, because they are really made up of a combination of ANDs and ORs.
Gates on Critical Path - Gates on Critical Path are defined as the total number of the logic gate required during one cycle time in CMOS.

STEP 1: Convert Input(s) to Base Unit

Critical Path Delay: 300 Nanosecond --> 3E-07 Second (Check conversion here)
Total Propagation Delay: 71 Nanosecond --> 7.1E-08 Second (Check conversion here)
XOR Gate Delay: 32 Nanosecond --> 3.2E-08 Second (Check conversion here)
Gates on Critical Path: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_AO = (T_delay-t_pd-t_XOR)/(N_gates-1) --> (3E-07-7.1E-08-3.2E-08)/(10-1)

Evaluating ... ...

t_AO = 2.18888888888889E-08

STEP 3: Convert Result to Output's Unit

2.18888888888889E-08 Second -->21.8888888888889 Nanosecond (Check conversion here)

FINAL ANSWER

21.8888888888889 ≈ 21.88889 Nanosecond <-- Delay of AND OR Gate

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 13 CMOS Delay Characteristics Calculators

Delay Rise

Go Delay Rise = Intrinsic Rise Delay+(Rise Resistance*Delay Capacitance)+(Slope Rise*Delay Previous)

Delay of AND-OR Gate in Gray Cell

Go Delay of AND OR Gate = (Critical Path Delay-Total Propagation Delay-XOR Gate Delay)/(Gates on Critical Path-1)

Delay of 1-Bit Propagate Gates

Go Total Propagation Delay = Critical Path Delay-((Gates on Critical Path-1)*Delay of AND OR Gate+XOR Gate Delay)

Propagation Delay in Circuit

Go Circuit Propagation Delay = (Propagation Delay High to Low+Propagation Delay Low to High)/2

Propagation Delay without Parasitic Capacitance

Go Propagation Delay Capaitance = Circuit Propagation Delay/Normalized Delay

Propagation Delay

Go Total Propagation Delay = Normalized Delay*Propagation Delay Capaitance

Normalized Delay

Go Normalized Delay = Total Propagation Delay/Propagation Delay Capaitance

Voltage-Controlled Delay Line

Go Voltage-Controlled Delay Line = Small Deviation Delay/VCDL Gain

Small Deviation Delay

Go Small Deviation Delay = VCDL Gain*Voltage-Controlled Delay Line

VCDL Gain

Go VCDL Gain = Small Deviation Delay/Voltage-Controlled Delay Line

Edge Rate

Go Edge Rate = (Rise Time+Fall Time)/2

Fall Time

Go Fall Time = 2*Edge Rate-Rise Time

Rise Time

Go Rise Time = 2*Edge Rate-Fall Time

Delay of AND-OR Gate in Gray Cell Formula

Delay of AND OR Gate = (Critical Path Delay-Total Propagation Delay-XOR Gate Delay)/(Gates on Critical Path-1)
t_AO = (T_delay-t_pd-t_XOR)/(N_gates-1)

Explain PG Carry-Ripple Addition

The critical path of the carry-ripple adder passes from carry-in to carry-out along the carry chain majority gates. As the P and G signals will have already stabilized by the time the carry arrives, we can use them to simplify the majority function into an AND-OR gate. Because Ci = Gi:0, carry-ripple addition can now be viewed as the extreme case of group PG logic in which a 1-bit group is combined with an i-bit group to form an (i+1)-bit group. In this extreme, the group propagate signals are never used and need not be computed. Figure 11.14 shows a 4-bit carry-ripple adder. The critical carry path now proceeds through a chain of AND-OR gates rather than a chain of majority gates

How to Calculate Delay of AND-OR Gate in Gray Cell?

Delay of AND-OR Gate in Gray Cell calculator uses Delay of AND OR Gate = (Critical Path Delay-Total Propagation Delay-XOR Gate Delay)/(Gates on Critical Path-1) to calculate the Delay of AND OR Gate, The Delay of AND-OR gate in gray cell formula is defined as delay in computing time in AND/OR gate when a logic is pass through it. Delay of AND OR Gate is denoted by t_AO symbol.

How to calculate Delay of AND-OR Gate in Gray Cell using this online calculator? To use this online calculator for Delay of AND-OR Gate in Gray Cell, enter Critical Path Delay (T_delay), Total Propagation Delay (t_pd), XOR Gate Delay (t_XOR) & Gates on Critical Path (N_gates) and hit the calculate button. Here is how the Delay of AND-OR Gate in Gray Cell calculation can be explained with given input values -> 2.2E+10 = (3E-07-7.1E-08-3.2E-08)/(10-1).

FAQ

What is Delay of AND-OR Gate in Gray Cell?

The Delay of AND-OR gate in gray cell formula is defined as delay in computing time in AND/OR gate when a logic is pass through it and is represented as t_AO = (T_delay-t_pd-t_XOR)/(N_gates-1) or Delay of AND OR Gate = (Critical Path Delay-Total Propagation Delay-XOR Gate Delay)/(Gates on Critical Path-1). The critical path delay is the sum of the delays of the shifter, the conditional complementer (for the subtraction), the adder, and the register, Total Propagation delay typically refers to the rise time or fall time in logic gates. This is the time it takes for a logic gate to change its output state based on a change in the input state, XOR Gate delay defined as the delay of 2 that gates of XOR have, because they are really made up of a combination of ANDs and ORs & Gates on Critical Path are defined as the total number of the logic gate required during one cycle time in CMOS.

How to calculate Delay of AND-OR Gate in Gray Cell?

The Delay of AND-OR gate in gray cell formula is defined as delay in computing time in AND/OR gate when a logic is pass through it is calculated using Delay of AND OR Gate = (Critical Path Delay-Total Propagation Delay-XOR Gate Delay)/(Gates on Critical Path-1). To calculate Delay of AND-OR Gate in Gray Cell, you need Critical Path Delay (T_delay), Total Propagation Delay (t_pd), XOR Gate Delay (t_XOR) & Gates on Critical Path (N_gates). With our tool, you need to enter the respective value for Critical Path Delay, Total Propagation Delay, XOR Gate Delay & Gates on Critical Path and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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