Examine the value in the middle of the current array (index (start end) / 2) If the midpoint value is the value that we are looking for, return true If the value that we are looking for is greater than the midpoint value, adjust the current array to start at the midpoint if the value that we are looking for is less than the midpoint value, adjust the current array to end at the midpoint Continue until you find the value, or until the start reaches the end, at which point you can give up and return false