If 'x' is a number in base 5 represented as '320', what is its decimal equivalen
Practice Questions
Q1
If 'x' is a number in base 5 represented as '320', what is its decimal equivalent?
75
80
85
90
Questions & Step-by-Step Solutions
If 'x' is a number in base 5 represented as '320', what is its decimal equivalent?
Step 1: Understand that '320' is a number in base 5.
Step 2: Identify the place values for each digit in '320'. The rightmost digit is the '5^0' place, the middle digit is the '5^1' place, and the leftmost digit is the '5^2' place.
Step 3: Write down the value of each digit multiplied by its place value: 3 is in the '5^2' place, 2 is in the '5^1' place, and 0 is in the '5^0' place.
Step 4: Calculate the value of each digit: 3 * 5^2 = 3 * 25 = 75, 2 * 5^1 = 2 * 5 = 10, and 0 * 5^0 = 0 * 1 = 0.
Step 5: Add all the values together: 75 + 10 + 0 = 85.
Step 6: The decimal equivalent of '320' in base 5 is 85.
