If 'A' is a number in base-5 and is represented as '43', what is its decimal equ

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Question: If \'A\' is a number in base-5 and is represented as \'43\', what is its decimal equivalent?

Options:

Correct Answer: 23

Solution:

\'43\' in base 5 is calculated as 4*5^1 + 3*5^0 = 20 + 3 = 23.

If 'A' is a number in base-5 and is represented as '43', what is its decimal equivalent?

If 'A' is a number in base-5 and is represented as '43', what is its decimal equivalent?

Step 1: Understand that '43' is a number in base-5.
Step 2: Identify the digits in '43'. The first digit is '4' and the second digit is '3'.
Step 3: Determine the place values for each digit. The leftmost digit (4) is in the '5^1' place, and the rightmost digit (3) is in the '5^0' place.
Step 4: Calculate the value of the first digit: 4 * 5^1 = 4 * 5 = 20.
Step 5: Calculate the value of the second digit: 3 * 5^0 = 3 * 1 = 3.
Step 6: Add the values from Step 4 and Step 5 together: 20 + 3 = 23.
Step 7: Conclude that the decimal equivalent of '43' in base-5 is 23.

Base Conversion – Understanding how to convert numbers from one base to another, specifically from base-5 to decimal.
Positional Value – Recognizing the significance of each digit's position in a number system, where each position represents a power of the base.