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  2. Circular shift - Wikipedia

    en.wikipedia.org/wiki/Circular_shift

    This motivates the following general definition: For a string s over an alphabet Σ, let shift(s) denote the set of circular shifts of s, and for a set L of strings, let shift(L) denote the set of all circular shifts of strings in L. If L is a cyclic code, then shift(L) ⊆ L; this is a necessary condition for L being a cyclic language.

  3. Barrel shifter - Wikipedia

    en.wikipedia.org/wiki/Barrel_shifter

    The very fastest shifters are implemented as full crossbars, in a manner similar to the 4-bit shifter depicted above, only larger. These incur the least delay, with the output always a single gate delay behind the input to be shifted (after allowing the small time needed for the shift count decoder to settle; this penalty, however, is only incurred when the shift count changes).

  4. Bitwise operation - Wikipedia

    en.wikipedia.org/wiki/Bitwise_operation

    For this reason, some microcontrollers such as low end PICs just have rotate and rotate through carry, and don't bother with arithmetic or logical shift instructions. Rotate through carry is especially useful when performing shifts on numbers larger than the processor's native word size, because if a large number is stored in two registers, the ...

  5. PIC instruction listings - Wikipedia

    en.wikipedia.org/wiki/PIC_instruction_listings

    Five new instructions with a 6-bit memory address operands are added. These do not have a destination select bit, and include three "compare and skip" instructions which do not write a result, and two "rotate without carry" instructions. This instruction set is not used in any currently manufactured part and is of historical interest only.

  6. Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Excel

    Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS.It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA).

  7. Rotation of axes in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_of_axes_in_two...

    In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .

  8. x86 instruction listings - Wikipedia

    en.wikipedia.org/wiki/X86_instruction_listings

    Below is the full 8086/8088 instruction set of Intel (81 instructions total). [2] These instructions are also available in 32-bit mode, in which they operate on 32-bit registers (eax, ebx, etc.) and values instead of their 16-bit (ax, bx, etc.) counterparts.

  9. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    Then rotate the given axis and the point such that the axis is aligned with one of the two coordinate axes for that particular coordinate plane (x, y or z) Use one of the fundamental rotation matrices to rotate the point depending on the coordinate axis with which the rotation axis is aligned.