Question about the carry flag and 2s compliment

2021.12.04 01:00 riizen24 Question about the carry flag and 2s compliment

From my understanding the CPU only has the circuitry to add numbers. In order to do so it must run the 2s compliment formula to get the symmetrical negative integer of a positive integer. I'm a bit confused on why when I do the conversion myself and add them I get the carry flag, but when I just use the subtract opcode I don't get the carry flag. Shouldn't the CPU do the conversion and activate the same flags?
Here's an example:
Let's say I want to do 7-4. So we have: 00000111 = 7 00000100 = 4
11111100 = -4 (2s compliment)
code:
mov al, 00000111b ; 7
add al, 11111100b ; -4
; carry flag triggered
mov al, 00000111b ; 7
sub al, 00000100b ; 4
; no carry flag
When I subtract 4 from 7 doesn't the CPU have to first convert the positive 4 into negative 4 using 2s compliment?
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