By Dr Antonio Gulli
Bits is the second one of a chain of 25 Chapters dedicated to algorithms, challenge fixing, and C++ programming. This e-book is ready low point bit programming
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Additional resources for A Collection of Bit Programming Interview Questions solved in C++
Example text
Represent an integer with variable length encoding using gamma encoding Solution Code 27. Represent an integer with variable length encoding using delta encoding Solution Code 28. Compute the average with no division Solution 1. Given an unsigned int, swap the bits in odd and even positions Solution Assume that an unsigned int is 32bits and that we swap the bits in position with those in position,. In order to select all the even bits we can AND with bitmask 0xAAAAAAAAAA, which is a 32 bit number with even bits set (0xA is decimal 10, 1010 binary).
Here you use an additional lookup table containing the number of 1s enclosed in the binary representation of the 8 bit number. Using pre-computed lookup tables is a commonly adopted trick for speeding up operations on lookup tables. Code static int bitInChar[256]; void fillBitsInChar() { for (unsigned int i = 0; i < 256; ++i) bitInChar[i] = countBits(i); } unsigned int countBitsConstantFor32BitsInt(unsigned int n) { return bitInChar[n & 0xffu] + bitInChar[(n >> 8) & 0xffu] + bitInChar[(n >> 16) & 0xffu] + bitInChar[(n >> 24) & 0xffu]; } 9.
The algorithm used for summing the value is the one taught at primary school. resize(len); for (int i = len - 1; i >= 0; i--) { b1 = s1[i] - '0'; b2 = s2[i] - '0'; sum = (b1 + b2 + carry); carry = sum / 10; res[i] = (char)sum % 10 + '0'; } if (carry) res = '1' + res; return res; } 24. Generate all the bit patterns from 0 to such that successive patterns differ by one bit. Solution Those patterns are named Gray code after the inventor Frank Gray[1]. It is convenient to generate them incrementally asIf we analyze the pattern, we understand that any list is generated from the previous list in three steps.