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Carry Flag

Concept

The Carry Flag is a single-bit status flag in the Flag Register used to indicate when an arithmetic operation produces a result that exceeds the capacity of the destination register (an unsigned overflow), and to propagate a carry into or out of multi-byte or multi-nibble arithmetic operations.

First seen 6/20/2026
Last seen 6/20/2026
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Definition

The Carry Flag is a status flag, typically occupying bit 0 (F(0)) of a processor's Flag Register, that indicates whether an unsigned arithmetic operation produced a result too large to fit in the destination register. When set, it signals that an overflow has occurred, allowing subsequent instructions to handle extended-precision arithmetic by incorporating the carry bit.

Role in Arithmetic Operations

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RELATIONSHIPS

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Flag Register part of → 97% 1e
The Carry Flag is bit-index 0 of the flag register F.

CITATIONS

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[1] The Carry Flag (F(0)) is set only if an overflow occurs during an arithmetic operation. KU Leuven Diepenbeek Course Material on Digital Design and Verification
[2] A carry from the lower nibble to the higher nibble (such as a transition from 0x0F to 0x14) is reflected in register F at bit-index 1, which corresponds to the Half Carry flag. KU Leuven Diepenbeek Course Material on Digital Design and Verification
[3] When implementing an ADD H instruction, the Carry flag F(0) is only set if an overflow occurs, while the Half Carry flag F(1) is only set if a carry occurred from the lower to higher nibble. KU Leuven Diepenbeek Course Material on Digital Design and Verification