In a base 6 number system, what is the value of the number 245 in decimal?
Practice Questions
Q1
In a base 6 number system, what is the value of the number 245 in decimal?
73
77
79
81
Questions & Step-by-Step Solutions
In a base 6 number system, what is the value of the number 245 in decimal?
Step 1: Identify the base of the number system. Here, the base is 6.
Step 2: Write down the number you want to convert, which is 245 in base 6.
Step 3: Break down the number 245 into its individual digits: 2, 4, and 5.
Step 4: Assign each digit a power of 6 based on its position from right to left, starting at 0: 2 is in the 6^2 position, 4 is in the 6^1 position, and 5 is in the 6^0 position.
Step 5: Calculate the value of each digit: 2 * 6^2 = 2 * 36 = 72, 4 * 6^1 = 4 * 6 = 24, and 5 * 6^0 = 5 * 1 = 5.
Step 6: Add all the values together: 72 + 24 + 5 = 101.
Step 7: The final result is that the base 6 number 245 is equal to 101 in decimal.
