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In converting the hexadecimal number 1A to decimal, what is the result?
In converting the hexadecimal number 1A to decimal, what is the result?
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Q1
In converting the hexadecimal number 1A to decimal, what is the result?
26
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The hexadecimal number 1A converts to decimal as 1*16^1 + 10*16^0 = 26.
Questions & Step-by-step Solutions
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Q
Q: In converting the hexadecimal number 1A to decimal, what is the result?
Solution:
The hexadecimal number 1A converts to decimal as 1*16^1 + 10*16^0 = 26.
Steps: 6
Show Steps
Step 1: Understand that hexadecimal is a base-16 number system.
Step 2: Identify the digits in the hexadecimal number 1A. The '1' is in the 16's place and 'A' represents 10 in decimal.
Step 3: Calculate the value of the first digit: 1 * 16^1 = 1 * 16 = 16.
Step 4: Calculate the value of the second digit: 10 * 16^0 = 10 * 1 = 10.
Step 5: Add the two results together: 16 + 10 = 26.
Step 6: Conclude that the decimal equivalent of the hexadecimal number 1A is 26.
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