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In a hexadecimal system, what is the decimal equivalent of '1A'?

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Question: In a hexadecimal system, what is the decimal equivalent of \'1A\'?

Options:

  1. 26
  2. 27
  3. 28
  4. 29

Correct Answer: 26

Solution:

\'1A\' in hexadecimal is 1*16 + 10 = 26 in decimal.

In a hexadecimal system, what is the decimal equivalent of '1A'?

Practice Questions

Q1
In a hexadecimal system, what is the decimal equivalent of '1A'?
  1. 26
  2. 27
  3. 28
  4. 29

Questions & Step-by-Step Solutions

In a hexadecimal system, what is the decimal equivalent of '1A'?
  • Step 1: Understand that '1A' is a number in the hexadecimal system.
  • Step 2: Identify the place values in '1A'. The '1' is in the 16's place and the 'A' is in the 1's place.
  • Step 3: Convert 'A' from hexadecimal to decimal. 'A' equals 10 in decimal.
  • Step 4: Calculate the value of '1' in the 16's place: 1 * 16 = 16.
  • Step 5: Calculate the value of 'A' in the 1's place: 10 * 1 = 10.
  • Step 6: Add the two values together: 16 + 10 = 26.
  • Step 7: Conclude that the decimal equivalent of '1A' is 26.
  • Hexadecimal to Decimal Conversion – Understanding how to convert numbers from the hexadecimal system (base 16) to the decimal system (base 10) by using positional values.
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