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That depends on the computer architecture. Most modern architectures address memory down to the 8-bit byte, however some architectures (often supercomputers) only address to the memory word which may be 64 bits or more long.

Early computer architectures had various sizes of addressable memory unit: individual bit, decimal digit, 10-digit signed decimal word, 12-digit/character decimal word, 5-bit character, 6-bit character, 12-bit word, 9-bit quarterword, 18-bit halfword, 36-bit word, 20-bit halfword, 40-bit word, 60-bit word, etc.

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