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Although a half-bridge is commonly thought of as a totem-pole...
I saw one definition, which said a totem-pole is more properly distinguished, as having two or more components which can permit current to flow through all of them in the same direction.
Example: triple-input 'AND' gate made from transistors:
The totem pole can both sink and source current, whereas the SG3524 output can do only one - sink or source. So, you have to rely on a resistor to do the other. If you configure the SG3524 output to sink current, you rely on a pull-up resistor to source current. If you configure the SG3524 output to source current, you rely on a pull-down resistor to sink current. If you use the totem-pole, you don't need to rely on the pull-up/pull-down resistor and that gives you advantage in better current handling, better driving of capacitive loads, MOSFETs, etc.
Hope this helps.
Tahmid.