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By Dr Antonio Gulli

Bits is the second one of a sequence of 25 Chapters dedicated to algorithms, challenge fixing, and C++ programming. This e-book is set low point bit programming

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Example text

The number is represented with bits. The integer is separated into two parts. The former is the highest power of 2 not greater than x (say and it is represented in unary with log(x) bits set to 0 followed by a 1. The latter is the remaining binary digit representing . Code void gammaEncoding(unsigned int x) { int i; unsigned lenOfX = 0; for (i = x; i > 1; i >>= 1) // floor(log2(x)) lenOfX++; for (i = lenOfX; i > 0; --i) std::cout << '0'; std::cout << '1'; x -= (1 << lenOfX); // reminder for (i = 1 << (lenOfX -1); i > 0; i >>= 1) if (x & i) std::cout << 1; else std::cout << 0; } 27.

Reverse the order of bits in an unsigned integer Solution Code 20. Convert an integer to a string and a string to an integer Solution Code 21. Convert a number from base b1 to base b2 Solution Code 22. Given a set S, compute the powerset of S Solution Code 23. Add two decimal strings representing two integers Solution Code 24. Generate all the bit patterns from 0 to such that successive patterns differ by one bit. Solution Code 25. Represent unsigned integers with variable length encoding using the continuation bit Solution Code 26.

Create a mask for trailing zeros Solution 16. Compute parity for a 32 bit number Solution Code 17. Swap two integers variables with no additional memory Solution Code 18. Swap bit i and j in a 64 bit number Solution Code 19. Reverse the order of bits in an unsigned integer Solution Code 20. Convert an integer to a string and a string to an integer Solution Code 21. Convert a number from base b1 to base b2 Solution Code 22. Given a set S, compute the powerset of S Solution Code 23. Add two decimal strings representing two integers Solution Code 24.

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