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CONVERT BINARY NUMBER (101) IN TO DECIMAL,SELECT AN APPROPRIATE DECIMAL NUMBER

Question

CONVERT BINARY NUMBER (101) IN TO DECIMAL,SELECT AN APPROPRIATE DECIMAL NUMBER

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Solution

The binary number 101 can be converted into decimal by following these steps:

  1. Identify the digits in the binary number from right to left. The rightmost digit is the least significant bit (LSB) and the leftmost digit is the most significant bit (MSB). In this case, from right to left, the digits are 1, 0, and 1.

  2. Multiply each digit by 2 raised to the power of its position, starting from 0. The position of the LSB is 0. So, the calculations are as follows:

    • 1 (LSB) * 2^0 = 1
    • 0 * 2^1 = 0
    • 1 (MSB) * 2^2 = 4
  3. Add up all these values. The sum is the decimal equivalent of the binary number:

    • 1 + 0 + 4 = 5

So, the decimal equivalent of the binary number 101 is 5.

This problem has been solved

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