2 to the power of 12, written as 212, equals 4096.
To understand why, let’s break it down:
- The expression 212 means you multiply the number 2 by itself 12 times.
- This can be calculated as follows: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.
- If you compute this step by step, you would find:
- 2 x 2 = 4
- 4 x 2 = 8
- 8 x 2 = 16
- 16 x 2 = 32
- 32 x 2 = 64
- 64 x 2 = 128
- 128 x 2 = 256
- 256 x 2 = 512
- 512 x 2 = 1024
- 1024 x 2 = 2048
- 2048 x 2 = 4096
So, after all those calculations, we find that 212 equals 4096. This result is also significant in computing and digital systems, where binary numbers are foundational.