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-.. _arduino-bitshift:
-
-bitshift left (<<), bitshift right (>>)
-=======================================
-
-Description
------------
-
-From *The Bitmath Tutorial* in The Playground
-
-
-
-There are two bit shift operators in C++: the left shift operator
-<< and the right shift operator >>. These operators cause the bits
-in the left operand to be shifted left or right by the number of
-positions specified by the right operand.
-More on bitwise math may be found
-`here. <http://www.arduino.cc/playground/Code/BitMath>`_
-
-
-
-Syntax
-------
-
-variable << number\_of\_bits
-
-
-
-variable >> number\_of\_bits
-
-
-
-Parameters
-----------
-
-variable - (byte, int, long) number\_of\_bits integer <= 32
-
-
-
-Example:
---------
-
-::
-
-        int a = 5;        // binary: 0000000000000101
-        int b = a << 3;   // binary: 0000000000101000, or 40 in decimal
-        int c = b >> 3;   // binary: 0000000000000101, or back to 5 like we started with
-
-
-
-When you shift a value x by y bits (x << y), the leftmost y bits in
-x are lost, literally shifted out of existence:
-
-
-
-::
-
-        int a = 5;        // binary: 0000000000000101
-        int b = a << 14;  // binary: 0100000000000000 - the first 1 in 101 was discarded
-
-
-
-If you are certain that none of the ones in a value are being
-shifted into oblivion, a simple way to think of the left-shift
-operator is that it multiplies the left operand by 2 raised to the
-right operand power. For example, to generate powers of 2, the
-following expressions can be employed:
-
-
-
-::
-
-        1 <<  0  ==    1
-        1 <<  1  ==    2
-        1 <<  2  ==    4
-        1 <<  3  ==    8
-        ...
-        1 <<  8  ==  256
-        1 <<  9  ==  512
-        1 << 10  == 1024
-        ...
-
-
-
-When you shift x right by y bits (x >> y), and the highest bit in x
-is a 1, the behavior depends on the exact data type of x. If x is
-of type int, the highest bit is the sign bit, determining whether x
-is negative or not, as we have discussed above. In that case, the
-sign bit is copied into lower bits, for esoteric historical
-reasons:
-
-
-
-::
-
-        int x = -16;     // binary: 1111111111110000
-        int y = x >> 3;  // binary: 1111111111111110
-
-
-
-This behavior, called sign extension, is often not the behavior you
-want. Instead, you may wish zeros to be shifted in from the left.
-It turns out that the right shift rules are different for unsigned
-int expressions, so you can use a typecast to suppress ones being
-copied from the left:
-
-
-
-::
-
-        int x = -16;                   // binary: 1111111111110000
-        int y = (unsigned int)x >> 3;  // binary: 0001111111111110
-
-
-
-If you are careful to avoid sign extension, you can use the
-right-shift operator >> as a way to divide by powers of 2. For
-example:
-
-
-
-::
-
-        int x = 1000;
-        int y = x >> 3;   // integer division of 1000 by 8, causing y = 125.
-
-