Add With Carry

Add two operands plus an incoming carry bit, for multi-word arithmetic.

Arithmetic

Semantics

rd = rs1 + rs2 + carry_in, with carry_out produced for the next word. This is the clearest place the flag-register architectures diverge from RISC-V, which has no architectural carry flag at all.

Architecture Instructions Expressed as How this architecture does it
x86 one instruction ADC adds the CF flag set by a previous ADD, the standard multi-precision idiom.
ARM one instruction ADC uses the C flag from PSTATE; ADCS both uses and updates it for chained words.
RISC-V none not available RISC-V has no architectural carry flag, a deliberate design decision to keep instructions independent and simplify out-of-order renaming. Multi-word addition is done with an explicit comparison: add the words, then SLTU the sum against an operand to materialize the carry into a register.
PowerISA one instruction addc generates the carry into the XER CA bit; adde consumes it, so a multi-word chain is addc followed by a run of adde.