JNZ & CMP Assembly Instructions

JNZ is short for "Jump if not zero (ZF = 0)", and NOT "Jump if the ZF is set".

If it's any easier to remember, consider that JNZ and JNE (jump if not equal) are equivalent. Therefore, when you're doing cmp al, 47 and the content of AL is equal to 47, the ZF is set, ergo the jump (if Not Equal - JNE) should not be taken.

I will make a little bit wider answer here.

There are generally speaking two types of conditional jumps in x86:

1. Arithmetic jumps - like JZ (jump if zero), JC (jump if carry), JNC (jump if not carry), etc.

2. Comparison jumps - JE (jump if equal), JB (jump if below), JAE (jump if above or equal), etc.

So, use the first type only after arithmetic or logical instructions:

sub  eax, ebx
jnz  .result_is_not_zero 

and  ecx, edx
jz   .the_bit_is_not_set

Use the second group only after CMP instructions:

cmp  eax, ebx
jne  .eax_is_not_equal_to_ebx

cmp  ecx, edx
ja   .ecx_is_above_than_edx

This way, the program becomes more readable and you will never be confused.

Note, that sometimes these instructions are actually synonyms. JZ == JE; JC == JB; JNC == JAE and so on. The full table is following. As you can see, there are only 16 conditional jump instructions, but 30 mnemonics - they are provided to allow creation of more readable source code:

Mnemonic        Condition tested  Description  

jo              OF = 1            overflow 
jno             OF = 0            not overflow 
jc, jb, jnae    CF = 1            carry / below / not above nor equal
jnc, jae, jnb   CF = 0            not carry / above or equal / not below
je, jz          ZF = 1            equal / zero
jne, jnz        ZF = 0            not equal / not zero
jbe, jna        CF or ZF = 1      below or equal / not above
ja, jnbe        CF and ZF = 0      above / not below or equal
js              SF = 1            sign 
jns             SF = 0            not sign 
jp, jpe         PF = 1            parity / parity even 
jnp, jpo        PF = 0            not parity / parity odd 
jl, jnge        SF xor OF = 1     less / not greater nor equal
jge, jnl        SF xor OF = 0     greater or equal / not less
jle, jng    (SF xor OF) or ZF = 1 less or equal / not greater
jg, jnle    (SF xor OF) or ZF = 0 greater / not less nor equal