Question

Convert the following decimal numbers to base 18 using the symbols you suggested in exercise 35.

Answer 1

To convert decimal numbers to base 18 using the symbols suggested in exercise 35, divide the decimal number by 18 and note down the remainders to get the base 18 representation.

Step-by-step explanation:

To convert decimal numbers to base 18, we can use the symbols provided in exercise 35. The symbols for base 18 are usually represented by the digits 0-9 and the letters A-H, where A represents the value 10, B represents 11, C represents 12, and so on. Here's how you can convert decimal numbers to base 18:

• Step 1: Divide the decimal number by 18 and find the quotient and remainder.
• Step 2: Note down the remainder as the rightmost digit of the base 18 number.
• Step 3: Repeat steps 1 and 2 with the quotient until the quotient becomes 0.
• Step 4: List all the remainders (from right to left) to get the base 18 representation.

For example, let's convert the decimal number 32 to base 18:

• 32 divided by 18 gives a quotient of 1 and a remainder of 14.
• The remainder 14 corresponds to the symbol E in base 18.
• The quotient 1 divided by 18 gives a quotient of 0 and a remainder of 1.
• The remainder 1 corresponds to the symbol 1 in base 18.
• Therefore, the base 18 representation of 32 is 1E.