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From WikiChip
1-bit architecture
The 1-bit architecture is a microprocessor or computer architecture that has a datapath width or a highest operand width of 1 bit. These architectures typically have a matching register file with registers width of 1 bit. Very few 1-bit architecture CPUs were commercially marketed.
Applications
Some of the earliest calculators had bit-serial architecture, 1-bit was always seen as obsolete even in the early 1970s. Most bit-serial applications quickly switched over to 4/8-bit and then 16-bit microprocessors. Today all 1-bit microprocessors are largely obsolete, even academia.