### Dimitri Boscainos

Delenie

Delenie

Base-10 to base-8 in 1 stage. Decimal digits have as coefficients the numbers in the diagonals from top to bottom, main diagonal to unit diagonal (1). Skip one digit of the decimal from end each time. Add and cast out 8's and carry for the next sum. Each number in the row is equal to twice the number below it and to the left plus the number immediately below it or 0 if none.

Table for converting 11111 to base-9 and base-8. Use x^n= [(x-1)+1]^n to the different coefficients of powers of 10 and add to get the base-9 digits in the first stage and the base-8 digits in the second stage.

Table for converting 111111 to base-9 and base-8. Same as before.

Table for converting 1111111 to base-9 and base-8. Same as before.

Table for converting a random number to base 9 and base-8. Use the next rows of Pascal's Triangle for decimals with more digits.