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If 'A' is a number in base-5 and is represented as '43', what is its decimal equ
If 'A' is a number in base-5 and is represented as '43', what is its decimal equivalent?
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Q1
If 'A' is a number in base-5 and is represented as '43', what is its decimal equivalent?
20
23
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'43' in base 5 is calculated as 4*5^1 + 3*5^0 = 20 + 3 = 23.
Questions & Step-by-step Solutions
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Q
Q: If 'A' is a number in base-5 and is represented as '43', what is its decimal equivalent?
Solution:
'43' in base 5 is calculated as 4*5^1 + 3*5^0 = 20 + 3 = 23.
Steps: 7
Show Steps
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.
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