Implied volatility is extracted from a options price and you have to know all the other greeks to get it. Even then there are about 30 formulas for implied volatility depending on what kind of implied volatility your looking for. Some are public the best are kept private. Your not going to pull it off on a standard calculator, Not accurately anyway. In addition it changes constantly based on supply demand in options movement in markets etc… its not really something you want to sit there and try to calculate manually during live intraday trading by the time you have done your calculation all the numbers will have changed.
Example of movement of IV in a day (this could cause a option to change by easy $10+ from high to low regardless of time or price)
if you can calculate the delta of an call option with a call being the same strike as the binary using the same amount of time to expiraiton as a binary then yes that delta of the call is the price of the binary option but then again you have to extract the correct IV and input teh correct IV for the right strike based on the volatility skew. Maybe your used to diving in this deep but if not there is not a lot of benefit to it.
Fortunately like I said its in the works to automate all the info automatically. Ie on the scanner you can already calculate the binary price based on if the market moves. Next step we will be adding is time impact - so you can say if it moes this bar within x minutes. And we will add in IV if IV changes by this much. So you could use any of the three to calculate it as IV may move time may move and price may move. Welcome to the world of options
Note IT DOES NOT need to be this hard. Have you watch my videos on what to focus on what prices you can know for sure and how you can take that to your advantage and how about speed of binaries etc…
Basically what strategy are you trying to do and i can tell you simply how to figure out what your trying to accomplish…without having to do a bunch of math.
Article links below on benzinga and yahoo finance that i write should also help. I talk a bit about what impacts a binaries price.
Benzinga | Stock Market Quotes, Business News, Financial News, Trading Ideas, and Stock Research by Professionals
http://www.benzinga.com/markets/binary-options
https://finance.search.yahoo.com/search/;_ylc=X3oDMTFzbzgwazI0BGtleXcDbmFkZXgEbWlkA21lZGlhcXVvdGVzc2VhcmNoBHNlYwN1aGIyBHNsawNmaW5hbmNlX3NlYXJjaA--?p=nadex&type=2button&fr=uh3_finance_vert_gs