Tool to convert bits to their positional numbering in a binary number according to MSb or LSb indexing.

Binary Bits Position - dCode

Tag(s) : Notation System, Informatics

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The bit numbering of a binary number in a sequence is the position of the binary digits (0 and 1) in a binary number.

Bit numbering allows binary data to be represented and manipulated in an organized and unambiguous way when encoding data.

LSb (Least Significant Bit) designates the least significant bit of a binary number, the one that represents the smallest value.

MSb (Most Significant Bit), on the other hand, represents the most significant bit, carrying the greatest value in a binary number.

LSb 0 means that position `0` is associated with the least significant bit.

__Example:__

Position LSb 0 | 7 6 5 4 3 2 1 0 |
---|---|

Binary | 0 1 0 1 1 0 0 0 |

Position of 1s | 3-4-6 |

MSb 0 means that position `0` is associated with the most significant bit.

__Example:__

Position MSb 0 | 0 1 2 3 4 5 6 7 |
---|---|

Binary | 0 1 0 1 1 0 0 0 |

Position of 1s | 1-3-4 |

Each bit is assigned to a unique position in a number, and its value is determined based on that position.

__Example:__ In a byte (8 bits) using the notation `LSb0`, the smallest bit (LSb) is noted in position 0 and the largest bit (MSb) is in position 7.

To code the position of the bits, in a binary number, by default, only the positions of `1` are noted, by complement, the other values are `0`.

__Example:__ `01000101` has its `1` in positions `0,2,6` (LSb0 notation)

Bit position is described relative to a binary number size (block size). The digits or numbers represent the position of the bits at `1` in the binary number.

__Example:__ `0,3,7` in an 8-bit block `LSb0` represents the binary code `10001001`

Bit position encoded messages include numbers indicating the position of the `1` bits in a binary number.

If the numbers describe bytes (8 bits) then the numbers are between 0 and 7, (even between 1 and 8 if the numbering starts at 1).

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Cite as source (bibliography):

*Binary Bits Position* on dCode.fr [online website], retrieved on 2023-09-27,

position,bit,binary,numbering,msb,lsb,encoding,notation,0,1,2,byte

https://www.dcode.fr/binary-bits-position

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