Convert (138.32)₁₀ to

The question seems to be incomplete. It asks to convert the decimal number 138.32 to another number system, but it doesn't specify which number system.

However, I will provide the steps to convert this decimal number to binary, octal, and hexadecimal number systems.

1. Conversion to Binary:

- Convert the integer part (138) and the fractional part (0.32) separately, then combine them at the end.

- Integer Part:

- Divide the number by 2. - Write down the remainder. - Divide the quotient from the previous step by 2. - Repeat the steps until the quotient is 0. - The binary number is the remainders read from bottom to top.

- Fractional Part:

- Multiply the fraction by 2. - Write down the whole number part. - Multiply the fractional part of the result from the previous step by 2. - Repeat the steps until you get a fraction of 0 or until you have enough digits.

- Combining the Parts:

- Combine the integer part and the fractional part, separating them with a binary point.

1. Conversion to Octal:

- Convert the integer part (138) and the fractional part (0.32) separately, then combine them at the end.

- Integer Part:

- Divide the number by 8. - Write down the remainder. - Divide the quotient from the previous step by 8. - Repeat the steps until the quotient is 0. - The octal number is the remainders read from bottom to top.

- Fractional Part:

- Multiply the fraction by 8. - Write down the whole number part. - Multiply the fractional part of the result from the previous step by 8. - Repeat the steps until you get a fraction of 0 or until you have enough digits.

- Combining the Parts:

- Combine the integer part and the fractional part, separating them with an octal point.

1. Conversion to Hexadecimal:

- Convert the integer part (138) and the fractional part (0.32) separately, then combine them at the end.

- Integer Part:

- Divide the number by 16. - Write down the remainder. - Divide the quotient from the previous step by 16. - Repeat the steps until the quotient is 0. - The hexadecimal number is the remainders read from bottom to top. If the remainder is 10-15, write it as A-F.

- Fractional Part:

- Multiply the fraction by 16. - Write down the whole number part. - Multiply the fractional part of the result from the previous step by 16. - Repeat the steps until you get a fraction of 0 or until you have enough digits.

- Combining the Parts:

- Combine the integer part and the fractional part, separating them with a hexadecimal point.

Please note that the fractional part conversion might not always result in an exact value, so you might have to round off after a certain number of digits.