B-tree Height from Entry Count

Calculate minimum and maximum B-tree height for n entries and order t: height_min = ⌈log_2t(n+1)⌉ - 1, height_max = ⌊log_t((n+1)/2)⌋. Database indexes use B-trees for O(log n) lookups.

Networking
Algorithms
Binary & Number
Systems
Dev Metrics

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
Advertisement

How to Use

Enter the values for the scenario you are assessing. Calculate minimum and maximum B-tree height for n entries and order t: height_min = ⌈log_2t(n+1)⌉ - 1, height_max = ⌊log_t((n+1)/2)⌋. Database indexes use B-trees for O(log n) lookups. Use the b-tree height result to inform your calculation.

Frequently Asked Questions