Business
Business is the activity of making one's living or making money by producing or buying and selling goods or services. Simply put, it is "any activity or enterprise entered into for profit. It does not mean it is a company, a corporation, partnership, or have any such formal organization, but it can range from a street peddler to General Motors." The term is also often used colloquially (but not by lawyers or public officials) to refer to a company, but this article will not deal with that sense of the word.
Computing
Computing is any goal-oriented activity requiring, benefiting from, or creating computers. Computing includes designing, developing and building hardware and software systems; designing a mathematical sequence of steps known as an algorithm; processing, structuring, and managing various kinds of information; doing scientific research on and with computers; making computer systems behave intelligently; and creating and using communications and entertainment media. The field of computing includes computer engineering, software engineering, computer science, information systems, and information technology.
Business
However successful a man may be in his own business, if he turns from that and engages ill a business which he don't understand, he is like Samson when shorn of his locks his strength has departed, and he becomes like other men.
P. T. Barnum, 'Beware of Outside Operations', The Art of Money Getting (1880).