In a certain number system, the base is 5. What is the decimal equivalent of the
Practice Questions
Q1
In a certain number system, the base is 5. What is the decimal equivalent of the number 243 in base 5?
35
60
62
50
Questions & Step-by-Step Solutions
In a certain number system, the base is 5. What is the decimal equivalent of the number 243 in base 5?
Step 1: Identify the base of the number system, which is 5.
Step 2: Write down the number you want to convert, which is 243 in base 5.
Step 3: Break down the number 243 into its individual digits: 2, 4, and 3.
Step 4: Assign each digit a power of 5 based on its position from right to left, starting with 0: 2 is in the 2nd position (5^2), 4 is in the 1st position (5^1), and 3 is in the 0th position (5^0).
Step 5: Calculate the value of each digit multiplied by its corresponding power of 5: 2 * 5^2, 4 * 5^1, and 3 * 5^0.
