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Like most microprocessors, the 8085 has a flag register that holds status information on the results of an operation. The flag register is 8 bits: bit 0 holds the carry flag, bit 2 holds the parity, bit 3 is always 0, bit 4 holds the half-carry, bit 6 holds the zero status, and bit 7 holds the sign. But what about the missing bits: 1 and 5?

Back in 1979, users of the 8085 determined that these flag bits had real functions.[1] Bit 1 is a signed-number overflow flag, called V, indicating that the result of a signed add or subtract won't fit in a byte.[2] Bit 5 of the flag is poorly understood and has been given the names K, X5, or UI. For an increment/decrement operation it simply indicates 16-bit overflow or underflow. But it has a totally diffrent value for arithmetic operations. The flag has been described[1][3] as: K = O1·O2 + O1·R + O2·R, where: O1 = sign of operand 1 O2 = sign of operand 2 R = sign of result For subtraction and comparisons, replace O2 with complement of O2. As I will show, that published description is mistaken. The K flag actually is the V flag exclusive-ored with the sign of the result. And the purpose of the K flag is to compare signed numbers. The circuit for the K and V flags The following schematic shows the reverse-engineered circuit for the K and V flags in the 8085. The V flag is simply the exclusive-or of the carry into the top bit and the carry out of the top bit. This is a standard formula for computing overflow[2] for signed addition and subtraction. (The 6502 computes the same overflow value through different logic.) The V flag has values for other arithmetic operations, but the values aren't useful.[4] A latch stores the value of the V flag. The computed V value is stored in the latch under the control of a store_v_flag control signal. Alternatively, the flag value can be read off the bus and stored in the latch under the control of the bus_to_flags control signal; this is how the POP PSW instruction, which pops the flags from the stack, is implemented. Finally, a tri-state superbuffer (the large triangle) writes the flag value to the bus when needed.

The K flag circuitry is on the right. The first function of the K flag is overflow/underflow for an INX/DEX instruction. This is implemented simply: the carry_to_k_flag control line sets the K flag according to the carry from the incrementer/decrementer. The next function of K flag is reading from the databus for the POP PSW instruction, which is the same as for the V flag. The final function of the K flag is the result of a signed comparison. The K flag is the exclusive-or of the V flag and the sign bit of the result. For subtraction and comparison, the K flag is 1 if the second value is larger than the first.[5] The K flag is set for other arithmetic operations, but doesn't have a useful value except for signed comparison and subtraction.[4]

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