That's good. Babies will let you know if they are hungry. If you are breastfeeding, it is even easier for them to adapt to a normal sleep routine as night breastmilk has night-time components to help them to sleep through the night.
Evening breastmilk contains higher tryptophan levels, a sleep-inducing amino acid. It is followed by serotonin, a hormone which regulates moods and sleep cycles.
http://www.telegraph.co.uk/news/health/news/6255205/Why-breast-milk-helps-babies-sleep-at-night.html
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