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)
tAO = (Tdelay-tpd-tXOR)/(Ngates-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
tAO = (Tdelay-tpd-tXOR)/(Ngates-1) --> (3E-07-7.1E-08-3.2E-08)/(10-1)
Evaluating ... ...
tAO = 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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Delay of AND-OR Gate in Gray Cell Formula

​LaTeX ​Go
Delay of AND OR Gate = (Critical Path Delay-Total Propagation Delay-XOR Gate Delay)/(Gates on Critical Path-1)
tAO = (Tdelay-tpd-tXOR)/(Ngates-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 tAO 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 (Tdelay), Total Propagation Delay (tpd), XOR Gate Delay (tXOR) & Gates on Critical Path (Ngates) 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 tAO = (Tdelay-tpd-tXOR)/(Ngates-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 (Tdelay), Total Propagation Delay (tpd), XOR Gate Delay (tXOR) & Gates on Critical Path (Ngates). 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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