5AF Hex in Decimal
Let's convert the hexadecimal number 5AF to decimal without using a calculator:
Step 1: Write Down Powers of 16
Write down the powers of 16 starting from the right, with the first digit corresponding to 160, the second to 161, the third to 162, and so on.
162 | 161 | 160 |
256 | 16 | 1 |
516 | A16 | F16 |
Step 2: Convert Hexadecimal Digits to Decimal
Convert each hexadecimal digit to its decimal equivalent:
516 = 510
A16 = 1010
F16 = 1510
Step 3: Multiply and Sum
Multiply each hexadecimal digit by its corresponding power of 16 and sum the results.
(5 × 256) + (10 × 16) + (15 × 1) = 1280 + 160 + 15 = 1455
So, the decimal representation of the hexadecimal number 5AF is 1455.
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