Question

What is the next whole number after 267 In base 8

Answer 1

The next number would be 270₈. The given number has an digit expansion of

267₈ = 2•8² + 6•8¹ + 7•8⁰

If x is the next number, then adding 1 to the both sides gives

x = 2•8² + 6•8¹ + 7•8⁰ + 1

x = 2•8² + 6•8¹ + 7•8⁰ + 1•8⁰

x = 2•8² + 6•8¹ + 8•8⁰

x = 2•8² + 6•8¹ + 1•8¹

x = 2•8² + 7•8¹

x = 2•8² + 7•8¹ + 0•8⁰

and so x = 270₈.