The value of 2 to the power of 24 (written as 224) is a significant figure in mathematics and computing. To calculate this, you can multiply 2 by itself 24 times.
Starting from the basics:
- 21 = 2
- 22 = 4
- 23 = 8
- 24 = 16
- 25 = 32
- 26 = 64
- 27 = 128
- 28 = 256
- 29 = 512
- 210 = 1024
- 211 = 2048
- 212 = 4096
- 213 = 8192
- 214 = 16384
- 215 = 32768
- 216 = 65536
- 217 = 131072
- 218 = 262144
- 219 = 524288
- 220 = 1048576
- 221 = 2097152
- 222 = 4194304
- 223 = 8388608
- 224 = 16777216
Thus, 224 equals 16,777,216.
This particular number can have practical applications, especially in the fields of computer science, as it often represents the total number of unique values that can be represented with 24 bits in binary coding.
Understanding powers of 2 is also fundamental for grasping concepts in algorithms, data structures, and more advanced topics in computing, as binary systems are the backbone of digital technology.