In a base 6 number system, what is the value of '54'?
Practice Questions
Q1
In a base 6 number system, what is the value of '54'?
30
32
34
36
Questions & Step-by-Step Solutions
In a base 6 number system, what is the value of '54'?
Step 1: Understand that '54' is a number in base 6.
Step 2: Identify the digits in '54'. The first digit is 5 and the second digit is 4.
Step 3: Recognize that the first digit (5) is in the 'sixes' place, and the second digit (4) is in the 'ones' place.
Step 4: Calculate the value of the first digit: 5 (the digit) multiplied by 6 (the base) raised to the power of 1 (the position from the right, starting at 0). This is 5 * 6^1 = 5 * 6 = 30.
Step 5: Calculate the value of the second digit: 4 (the digit) multiplied by 6 raised to the power of 0 (the position from the right). This is 4 * 6^0 = 4 * 1 = 4.
Step 6: Add the two values together: 30 (from Step 4) + 4 (from Step 5) = 34.
Step 7: Conclude that '54' in base 6 is equal to 34 in decimal.
