Three ones to arithmetically get all digits

With three ones, calculate all digits (natural numbers from 0 to 9), using simple arithmetic operations.
Here is a solution:

• 0 = (1-1)/1
• 1 = 1+1-1
• 2 = 1+(1/1)
• 3 = 1+1+1
• 4 = (1+1)^/1
• 5 = 1 + (1+1)^2
• 6 = (1+1+1)!
• 7 = ( (1+1)^ )^ - 1
• 8 = (1+1+1)^
• 9 = ((1+1)^)^ + 1