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The bitwise calculator is a tool to perform Bit Shift operation on numbers. The input can combine binary, decimal, hexadecimal, or octal numbers.

To use this calculator, follow the below steps:

- Enter the number in the first input box.
- Select the operator in the dropdown list. ( << or >>)
- Enter the number in the second input box.
- You will see the calculated number in the output boxes for each base system
- The results is displayed as binary, decimal, hexadecimal, or octal numbers.

The left shift operator is a binary operator which shifts some number of bits, in the given bit pattern, to the left and appends 0 at the end. The left shift is equivalent to multiplying the bit pattern with 2^{k} ( if we are shifting k bits ).

The right shift operator is a binary operator which shifts some number of bits, in the given bit pattern, to the right and appends 1 at the end. The right shift is equivalent to dividing the bit pattern with 2^{k} ( if we are shifting k bits ).

- A wide variety of programming languages supports bitwise operations on two integer integers.
- The evaluation and manipulation of particular bits within an integer are possible with bitwise operators.
- Each subsequent pair of bits in the operands is subjected to the operation.
- Bitwise AND, OR, and XOR are the three most popular operations.

A base system is a mechanism of representing numbers. When we talk about base-n, the system can show a number with n characters (including 0). Numbers are represented by digits that are less than or equal to n. As a result, 3 in base-3 equals 10: because that system lacks a "3," it starts anew (1, 2, 10, 11, 12, 20, 21, 22, 100, etc.).

We commonly utilize base-10 since we have 10 (including 0) digits until we start anew (8,9,10). We only have two characters in base-2 (binary), 0 and 1, until we begin anew. In our (base-10) system, the binary number 10 is 2 in this example.

Operator | Name | Description |
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& | AND | Sets each bit to 1 if both bits are 1 |

| | OR | Sets each bit to 1 if one of two bits is 1 |

^ | XOR | Sets each bit to 1 if only one of two bits is 1 |

~ | NOT | Inverts all the bits |

<< | Zero fill left shift | Shifts left by pushing zeros in from the right and let the leftmost bits fall off |

>> | Signed right shift | Shifts right by pushing copies of the leftmost bit in from the left, and let the rightmost bits fall off |

>>> | Zero fill right shift | Shifts right by pushing zeros in from the left, and let the rightmost bits fall off |

Simplicity, carried to the extreme, becomes elegance.

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