83B Hex in Decimal

Let's convert the hexadecimal number 83B 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.

162161160
256161
816316B16
Step 2: Convert Hexadecimal Digits to Decimal

Convert each hexadecimal digit to its decimal equivalent:

816 = 810

316 = 310

B16 = 1110

Step 3: Multiply and Sum

Multiply each hexadecimal digit by its corresponding power of 16 and sum the results.

(8 × 256) + (3 × 16) + (11 × 1) = 2048 + 48 + 11 = 2107

So, the decimal representation of the hexadecimal number 83B is 2107.
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