Delay of 1-Bit Propagate Gates Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Propagation Delay = Critical Path Delay-((Gates on Critical Path-1)*Delay of AND OR Gate+XOR Gate Delay)
tpd = Tdelay-((Ngates-1)*tAO+tXOR)
This formula uses 5 Variables
Variables Used
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.
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Critical Path Delay: 300 Nanosecond --> 3E-07 Second (Check conversion here)
Gates on Critical Path: 10 --> No Conversion Required
Delay of AND OR Gate: 21.9 Nanosecond --> 2.19E-08 Second (Check conversion here)
XOR Gate Delay: 32 Nanosecond --> 3.2E-08 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tpd = Tdelay-((Ngates-1)*tAO+tXOR) --> 3E-07-((10-1)*2.19E-08+3.2E-08)
Evaluating ... ...
tpd = 7.09E-08
STEP 3: Convert Result to Output's Unit
7.09E-08 Second -->70.9 Nanosecond (Check conversion here)
FINAL ANSWER
70.9 Nanosecond <-- Total Propagation Delay
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 900+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

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 1-Bit Propagate Gates Formula

Total Propagation Delay = Critical Path Delay-((Gates on Critical Path-1)*Delay of AND OR Gate+XOR Gate Delay)
tpd = Tdelay-((Ngates-1)*tAO+tXOR)

Explain PG Carry-Ripple Addition

PG Carry-Ripple Addition, also known as Propagate-Generate (PG) Carry-Ripple Addition, is a method for performing binary addition using multiple full adders connected in a cascade, where each full adder has two inputs, A and B, and a carry-in (Cin), and produces a sum (S) and a carry-out (Cout).

How to Calculate Delay of 1-Bit Propagate Gates?

Delay of 1-Bit Propagate Gates calculator uses Total Propagation Delay = Critical Path Delay-((Gates on Critical Path-1)*Delay of AND OR Gate+XOR Gate Delay) to calculate the Total Propagation Delay, The Delay of 1-bit Propagate gates is the time it takes for a carry input to propagate through the gate and produce a valid carry output. This delay is a crucial factor in determining the overall performance and speed of a multi-bit adder or arithmetic circuit. Total Propagation Delay is denoted by tpd symbol.

How to calculate Delay of 1-Bit Propagate Gates using this online calculator? To use this online calculator for Delay of 1-Bit Propagate Gates, enter Critical Path Delay (Tdelay), Gates on Critical Path (Ngates), Delay of AND OR Gate (tAO) & XOR Gate Delay (tXOR) and hit the calculate button. Here is how the Delay of 1-Bit Propagate Gates calculation can be explained with given input values -> 7.1E+10 = 3E-07-((10-1)*2.19E-08+3.2E-08) .

FAQ

What is Delay of 1-Bit Propagate Gates?
The Delay of 1-bit Propagate gates is the time it takes for a carry input to propagate through the gate and produce a valid carry output. This delay is a crucial factor in determining the overall performance and speed of a multi-bit adder or arithmetic circuit and is represented as tpd = Tdelay-((Ngates-1)*tAO+tXOR) or Total Propagation Delay = Critical Path Delay-((Gates on Critical Path-1)*Delay of AND OR Gate+XOR Gate Delay). The critical path delay is the sum of the delays of the shifter, the conditional complementer (for the subtraction), the adder, and the register, Gates on Critical Path are defined as the total number of the logic gate required during one cycle time in CMOS, 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 & 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.
How to calculate Delay of 1-Bit Propagate Gates?
The Delay of 1-bit Propagate gates is the time it takes for a carry input to propagate through the gate and produce a valid carry output. This delay is a crucial factor in determining the overall performance and speed of a multi-bit adder or arithmetic circuit is calculated using Total Propagation Delay = Critical Path Delay-((Gates on Critical Path-1)*Delay of AND OR Gate+XOR Gate Delay). To calculate Delay of 1-Bit Propagate Gates, you need Critical Path Delay (Tdelay), Gates on Critical Path (Ngates), Delay of AND OR Gate (tAO) & XOR Gate Delay (tXOR). With our tool, you need to enter the respective value for Critical Path Delay, Gates on Critical Path, Delay of AND OR Gate & XOR Gate Delay and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Total Propagation Delay?
In this formula, Total Propagation Delay uses Critical Path Delay, Gates on Critical Path, Delay of AND OR Gate & XOR Gate Delay. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Propagation Delay = Normalized Delay*Propagation Delay Capaitance
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!