What would you like to understand?

A fixed-length code is a code in which every source symbol is represented by a codeword containing the same number of bits. The defining property is the equality of codeword length across all symbols, not the equality of the codeword contents themselves.

Conditions: Applies to a single code mapping across all symbols in its alphabet.; The defining property is equality of codeword length, not equality of codeword content.

A fixed-length code is a code in which every source symbol is represented by a codeword containing the same number of bits. The defining property is the equality of codeword length across all symbols, not the equality of the codeword contents themselves.

Conditions: Applies to a single code mapping across all symbols in its alphabet.; The defining property is equality of codeword length, not equality of codeword content.

Code 3 fails the prefix-free condition because specific codewords act as prefixes for other codewords within the same code. Specifically, the codeword 0 assigned to $x_1$ is a prefix of the codeword 00 assigned to $x_3$, and the codeword 1 assigned to $x_2$ is a prefix of the codeword 11 assigned to $x_4$.

Conditions: Use the Code 3 column of the displayed table.; Apply the prefix-free definition: no codeword is a prefix of another.

Code 3 fails the prefix-free condition because specific codewords act as prefixes for other codewords within the same code. Specifically, the codeword 0 assigned to $x_1$ is a prefix of the codeword 00 assigned to $x_3$, and the codeword 1 assigned to $x_2$ is a prefix of the codeword 11 assigned to $x_4$.

Conditions: Use the Code 3 column of the displayed table.; Apply the prefix-free definition: no codeword is a prefix of another.

A variable-length code is a code whose codewords do not all have the same length. The condition requires that at least two codewords in the code have different bit lengths.

Conditions: Applies to a single code mapping across all symbols in its alphabet.; At least two codewords in the code have different bit lengths.

A variable-length code is a code whose codewords do not all have the same length. The condition requires that at least two codewords in the code have different bit lengths.

Conditions: Applies to a single code mapping across all symbols in its alphabet.; At least two codewords in the code have different bit lengths.