
Engineering Calculation
Cause-and-Effect Matrix Logic Verification Calculation
Oct 2026
Direct Answer
The source reports 82 of 85 cause-and-effect functions verified (96.47%) and three failed functions; corrective action is required before final acceptance.
At a Glance
| Item | Source value / outcome | ||
| Total Cause-and-Effect Functions | T | 85 | Nos. |
| Functions Successfully Verified | V | 82 | Nos. |
| Functions Failed | F | 3 | Nos. |
| Acceptance Target | AT | 100 | % |
Technical Calculation
1. Purpose
To verify that all programmed Cause-and-Effect (C&E) logic functions are correctly assigned and executed between initiating devices and controlled outputs in an integrated fire alarm system.
2. Engineering Objective
To calculate the percentage of verified Cause-and-Effect logic sequences and identify any unverified or failed functions before commissioning.
3. Applicable Standards
| Standard | Description |
| NFPA 72 | National Fire Alarm and Signaling Code |
| IS 2189 | Fire Detection & Alarm Systems |
| NBC India Part 4 | Fire & Life Safety |
| OEM Programming Manual | Cause-and-Effect configuration and testing |
4. Design Inputs
| Parameter | Symbol | Value | Unit |
| Total Cause-and-Effect Functions | T | 85 | Nos. |
| Functions Successfully Verified | V | 82 | Nos. |
| Functions Failed | F | 3 | Nos. |
| Acceptance Target | AT | 100 | % |
5. Assumptions
Each Cause-and-Effect function has a defined input, output and expected response. Verification is performed during integrated system testing.
6. Formula(s)
Verification Percentage = (Verified Functions ÷ Total Functions) × 100
7. Variables Explained
T = Total Functions; V = Verified Functions; F = Failed Functions.
8. Step-by-Step Calculation
Verification = (82 ÷ 85) × 100 = 96.47%
Failed Functions = 3
9. Worked Engineering Example
A project includes 85 programmed Cause-and-Effect functions. During integrated testing, 82 functions passed and 3 failed, resulting in a verification rate of 96.47%.
10. Engineering Output
Verification Rate: 96.47%
Verified Functions: 82
Failed Functions: 3
Status: Corrective action required before final acceptance.
11. Design Considerations
Verify every alarm, supervisory and fault sequence, HVAC shutdown, smoke control, lift recall, door release and suppression interface.
12. Common Design Mistakes
Missing output mapping, incorrect logic, duplicate programming, untested interfaces and undocumented revisions.
13. Practical Site Notes
Maintain signed Cause-and-Effect test records and update the approved matrix after any programming change.
14. Limitations
Final acceptance depends on complete integrated testing and OEM-approved programming.
15. Related Engineering Systems
FACP, BMS, Smoke Management, Lift Control, Access Control, Gas Suppression, PA/VA.
16. Cross References
Related FAQ: Cause-and-Effect Matrix
Related White Paper: VEP-001
Related Engineering Diagram: ED-016
17. SEO Meta Title
Cause-and-Effect Matrix Logic Verification Calculation | EC-016
18. SEO Meta Description
Engineering calculation to verify programmed Cause-and-Effect logic with a worked example.
19. URL Slug
ec-016-cause-and-effect-matrix-logic-verification
20. Keywords (15)
Cause and Effect Matrix, Fire Alarm Logic, Integrated Testing, NFPA72, IS2189, Fire Alarm Engineering, Commissioning, System Integration, Engineering Calculation, BMS Interface, Smoke Control, EPC, Consultant, FACP, Life Safety
21. AI Search Summary
Cause-and-Effect verification is measured by comparing successfully tested logic functions with the total programmed functions. In this example, 82 of 85 functions passed, achieving a verification rate of 96.47%, with 3 functions requiring corrective action before system acceptance.
Frequently Asked Questions
What is the verification percentage?
82 verified functions out of 85 equals 96.47%.
Can the system be treated as fully accepted?
The source says three functions failed and corrective action is required before final acceptance.
SEO & Publishing Details
SEO title: Cause-and-Effect Matrix Logic Verification Calculation | EC-016
Meta description: Engineering calculation to verify programmed Cause-and-Effect logic with a worked example.
URL slug: ec-016-cause-and-effect-matrix-logic-verification
Keywords: Cause and Effect Matrix, Fire Alarm Logic, Integrated Testing, NFPA72, IS2189, Fire Alarm Engineering, Commissioning, System Integration, Engineering Calculation, BMS Interface, Smoke Control, EPC, Consultant, FACP, Life Safety
AI search summary: Cause-and-Effect verification is measured by comparing successfully tested logic functions with the total programmed functions. In this example, 82 of 85 functions passed, achieving a verification rate of 96.47%, with 3 functions requiring corrective action before system acceptance.
