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In a base 6 number system, what is the decimal equivalent of the number '54'?
In a base 6 number system, what is the decimal equivalent of the number '54'?
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Q1
In a base 6 number system, what is the decimal equivalent of the number '54'?
30
32
34
36
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'54' in base 6 = 5*6^1 + 4*6^0 = 30 + 4 = 34.
Questions & Step-by-step Solutions
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Q
Q: In a base 6 number system, what is the decimal equivalent of the number '54'?
Solution:
'54' in base 6 = 5*6^1 + 4*6^0 = 30 + 4 = 34.
Steps: 7
Show Steps
Step 1: Identify the base of the number system. Here, the base is 6.
Step 2: Write down the number '54' in base 6. The first digit is 5 and the second digit is 4.
Step 3: Understand the place values in base 6. The leftmost digit (5) is in the '6^1' place, and the rightmost digit (4) is in the '6^0' place.
Step 4: Calculate the value of the leftmost digit: 5 * 6^1 = 5 * 6 = 30.
Step 5: Calculate the value of the rightmost digit: 4 * 6^0 = 4 * 1 = 4.
Step 6: Add the two values together: 30 + 4 = 34.
Step 7: The decimal equivalent of '54' in base 6 is 34.
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