Question

What are the methods to convert a number from base x to base y?

1) Subtraction and division with remainder
2) Addition and multiplication
3) Exponentiation and logarithm
4) Multiplication and division

Answer 1

There are several methods to convert a number from base x to base y, including subtraction and division with remainder, addition and multiplication, exponentiation and logarithm, and multiplication and division.

Step-by-step explanation:

Converting a number from base x to base y can be done using several methods:

1. Subtraction and division with remainder: Convert the number to base 10, then divide it repeatedly by the new base y, taking the remainders at each step.
2. Addition and multiplication: Convert the number to base 10, then repeatedly divide it by the new base y, recording the remainders. The final result is obtained by multiplying the remainders in reverse order.
3. Exponentiation and logarithm: Convert the number to base 10, then take the logarithm of the number with base x, divide it by the logarithm of the new base y, and raise the result to the power of the new base y.
4. Multiplication and division: Convert the number to base 10, then multiply it by the power of base x corresponding to each digit, and divide the result by the power of base y corresponding to each digit.