The finite toy rule allows only parity-changing transitions. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The toy rule allows parity changes

The middle level is odd and the upper level is even, so the allowed bit is 1.

oddeven,allowed=1odd\to even,\quad allowed=1
Allowed toy transitionThis is a finite parity rule, not an angular-momentum rule.lowerParity=oddupperParity=evenallowed=1lowerParity=evenupperParity=evenallowed=0

The same rule rejects unchanged parity

The ground level and upper level are both even, so the allowed bit is 0.

eveneven,allowed=0even\to even,\quad allowed=0
Forbidden toy transitionA stale parity label would fail validation.lowerParity=oddupperParity=evenallowed=1lowerParity=evenupperParity=evenallowed=0