Hash Collision Probability (Birthday Problem)

Calculate hash collision probability using the birthday approximation: P(collision) ≈ 1 - e^(-n²/2H), where n is items and H is hash space size (2^bits).

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IP Subnet Calculator

IP Address
CIDR Prefix
/
Network
192.168.1.0
Broadcast
192.168.1.255
Subnet Mask
255.255.255.0
First Host
192.168.1.1
Last Host
192.168.1.254
Usable Hosts
254
Binary breakdown:
IP: 11000000.10101000.00000001.00000000
Mask: 11111111.11111111.11111111.00000000
Net: 11000000.10101000.00000001.00000000
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How It Works

Calculate hash collision probability using the birthday approximation: P(collision) ≈ 1 - e^(-n²/2H), where n is items and H is hash space size (2^bits)

Each component has a specific meaning:

  • Birthday approximation: P ≈ 1 - e^ — The birthday approximation: p ≈ 1 - e^ recorded for the scenario being assessed.
  • Where n is items — The where n is items recorded for the scenario being assessed.
  • H is hash space size — The h is hash space size recorded for the scenario being assessed.

Note: Interpret the hash collision probability result against the thresholds and context described above.

How to Use

Enter the birthday approximation: P ≈ 1 - e^, where n is items, H is hash space size for the scenario you are assessing. Calculate hash collision probability using the birthday approximation: P(collision) ≈ 1 - e^(-n²/2H), where n is items and H is hash space size (2^bits). Use the hash collision probability result to inform your calculation.

Frequently Asked Questions