Unrooted binary tree enumeration problem on unrooted binary trees is to count the number of trees with "n" labeled leaves and unlabeled internal nodes. An unrooted binary tree on "n" labeled leaves can be formed by connecting the "n"th leaf to a new node in the middle of any of the edges of an unrooted binary tree on "n" − 1 labeled leaves. There are 2"n" − 5 edges at which the "n"th node can be attached; therefore, the number of trees on "n" leaves is larger than the number of trees on "n" − 1 leaves by a factor of 2"n" −
Binary number only two possible outcomes of each partial multiplication: For example, the binary numbers 1011 and 1010 are multiplied as follows: Binary numbers can also be multiplied with bits after a binary point: See also Booth's multiplication algorithm. The binary multiplication table is the same as the truth table of the logical conjunction operation formula_6. Long division in binary is again similar to its decimal counterpart. In the example below, the divisor is 101, or 5 decimal, while the dividend is 11011, or 27 decimal. The procedure is the same as that of decimal long division; here, the divisor 101 goes