AE3 Hex in Decimal
Let's convert the hexadecimal number AE3 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 |
A16 | E16 | 316 |
Step 2: Convert Hexadecimal Digits to Decimal
Convert each hexadecimal digit to its decimal equivalent:
A16 = 1010
E16 = 1410
316 = 310
Step 3: Multiply and Sum
Multiply each hexadecimal digit by its corresponding power of 16 and sum the results.
(10 × 256) + (14 × 16) + (3 × 1) = 2560 + 224 + 3 = 2787
So, the decimal representation of the hexadecimal number AE3 is 2787.
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