Bit manipulation can optimize certain operations from "summary" of C Programming Language by Brian W. Kernighan,Dennis Ritchie
Bit manipulation can optimize certain operations. For example, consider a program that needs to determine if a given number is a power of 2. One way to do this is to repeatedly divide the number by 2 until you reach 1. If the final result is 1, then the original number is a power of 2. However, this method involves multiple divisions and comparisons, which can be computationally expensive.
Alternatively, you can use bit manipulation to optimize this operation. Since powers of 2 have only one bit set in their binary representation, you can simply check if only one bit is set in the number. This can be done using the bitwise AND operation with the number and the number - 1. If the result is...
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