AND Calculator
Our free binary calculator solves andcalculator problems. Get worked examples, visual aids, and downloadable results.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
A AND B: Output bit = 1 only when both input bits = 1
The AND operation compares each bit of two numbers. For each bit position, the result is 1 if and only if both corresponding bits in the inputs are 1. Otherwise the result is 0. This is the most fundamental logical operation in digital computing.
Worked Examples
Example 1: Basic AND Operation with 8-bit Numbers
Problem:Calculate the AND of binary 10110110 (182) and 11010100 (212).
Solution:Align both numbers and apply AND bit by bit:\n 10110110 (182)\n& 11010100 (212)\n----------\n 10010100 (148)\n\nBit 7: 1 AND 1 = 1\nBit 6: 0 AND 1 = 0\nBit 5: 1 AND 0 = 0\nBit 4: 1 AND 1 = 1\nBit 3: 0 AND 0 = 0\nBit 2: 1 AND 1 = 1\nBit 1: 1 AND 0 = 0\nBit 0: 0 AND 0 = 0
Result:10110110 AND 11010100 = 10010100 (decimal 148, hex 0x94)
Example 2: Subnet Mask AND Operation
Problem:Find the network address by ANDing IP 192.168.5.130 with subnet mask 255.255.255.192.
Solution:Convert last octet to binary:\n130 = 10000010\n192 = 11000000\n\nAND operation on last octet:\n 10000010 (130)\n& 11000000 (192)\n----------\n 10000000 (128)\n\nFirst three octets: 192 AND 255 = 192, 168 AND 255 = 168, 5 AND 255 = 5
Result:Network address: 192.168.5.128 (the host is on the .128 subnet)
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy