The Kenyan-born actor, 51, lived in a cornershop in Coventry with his parents during the 70s and 80s and told the panel how his mum was regularly spat at and his dad also beaten.
He explained: "We lived in a cornershop. My mum was being spat at, my dad was being beaten up. I was being beaten up on a daily basis by skinheads.
"As an immigrant you don't do it because 'I just fancied the weather in the UK.'
"You're doing it because you're escaping something and looking for a better life."
While society has come a long way since widespread racism of 60s and 70s Britain, Nitin, who was on the show to promote his new play End of the Pier, revealed he still receives vile abuse.
He said: "I live in a nice safe middle class area and a van drives past, opens the window, and shouts the most explicit racist things.
"That's what we were used to when we came here, and it doesn't go away."
The star told how he just "laughed it off", but as a youngster he turned to food for comfort.
"I spent a lot of time sketching and food," he said. "Comfort eating was my thing. I was very big. I was probably obese by the time I was 12."
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