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TPS81256: 5V nominal input OK for 5.0 V output OK?

Part Number: TPS81256

We have a design where we have a nominal input voltage of 5.0 V to the TPS81256, but we use this step up regulator since the voltage can be as low as 4.5 V at times so we need a step-up regulator. The output is 5.0 V and maximum 200 mA. The datasheet states that one can use up to 5.5 V as input voltage, but all the example circuits use at most 4.9 V input for 5.0 V output.

Will the TPS81256 work well when having a nominal 5.0 V input? Can the regulator open the high side switch with 100% duty cycle to simply connect the input voltage to the output voltage, when the input voltage is 5.0 V?