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After the rst three instructions, just the DC ag will be set, and after the next three instructions, just the C ag will be set. The operation of these instructions is very easy to understand for addition one of the measures of somebody who truly understands how to program the PIC microcontroller is how well they understand the operation of these ags after subtraction instructions. Subtraction in the PIC will take you some time before you understand the process well enough to be able to implement the function in your own application code. This is not to imply that the instruction works differently, just that it doesn t work as you would intuitively expect, which makes its operation problematic for many people. The subwf instruction (see Fig. 7.25) invocation is:

in which the contents of Register have the contents of w subtracted from it and the result placed either in w or Register based on the destination parameter. This operation probably doesn t make a lot of sense; the best way to explain subtraction in the PIC microcontroller is to note that it is not subtraction at all. Instead, the subwf instruction adds a negative value to the contents of the parameter register. Instead of subwf operating as:

w

Figure 7.25 The subwf instruction subtracts the contents of the w register from the contents of the parameter register.

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which is what you would probably expect, subtraction in the PIC microcontroller is actually:

Q = l/C A + ~~(l/W,CH + l/WcCc)

Destination = Source + (-w)

The negative w term of the equation above is found by substituting in the 2 s complement negation formula:

for -w, which makes the true operation of the instruction:

I nd that when I am using the instruction it helps to remember this formula, because I can easily understand what subwf is doing and predict how it will behave. Remembering this formula also helps me to understand how the carry ags work. Looking at the instruction above, the carry and digit carry ags probably run counterintuitively to what you expect (and may have experienced with other processors). For example, if you were to subtract 2 from 1 in the PIC:

the formula:

is used, which yields (for the subwf Source, w instruction):

w = = = = = Source + (w ^ 0xFF) + 1 1 + (2 ^ 0xFF) + 1 1 + 0xFD + 1 0xFF -1

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This result matches what you would expect. Note that in this case the carry ag is reset, which is not what we expect in a typical processor. If a negative result was produced in a traditional processor, we would expect the carry (or an explicit borrow) ag to be set. Working through the same instruction (subwf Source, w) and the registers were loaded with:

(9.8)

The subwf formula values become:

The value 0x1 (0x101 AND 0xFF) is the value actually stored in w. But in this case (subtracting a lower value from a higher value), the carry ag (and, possibly, the digit carry ag) are set. If you work through an example where the contents of w were equal to Source, you will nd that the result is 0x100 and the carry ag will also be set in this situation. The carry ag can be used as a negative active borrow ag in your PIC microcontroller applications. When the result is less than zero, the carry ag is reset, indicating that if there were higher order bits, one would have to be taken away (or borrowed ) from them. When the result of a subtraction in the PIC microcontroller is zero or a value greater than zero, the carry ag is reset, indicating that the result is not negative and there is no need to take away a value from any higher order bits. For the next program to run in MPLAB IDE, go through the subtraction examples above and before the subwf instruction is executed for each case, try to predict the operation of the carry ag, followed by the digit carry ag.

movlw 1 movwf 0x20 movlw 2 subwf 0x20, w movlw 2 movwf 0x20 movlw 1 subwf 0x20, w ; First test case, 1 2

; Predict the value of C after instruction ; Second test case, 2 1