Binary and Decimal Conversions: Understanding the Basics

What are the essential steps to convert binary values to decimal?

1. Convert the binary value 01011101 to decimal.

Steps to Convert Binary to Decimal

To convert a binary value to decimal, you need to multiply each bit by 2 raised to its position and sum up the results.

Binary to decimal conversion involves understanding the positional value of each bit and applying the appropriate calculations. Starting from the rightmost bit (the least significant bit) with position 0, you multiply each bit by 2 raised to its position and add them up. For the binary value 01011101, the calculation would be:

0 * 2^0 + 1 * 2^1 + 1 * 2^2 + 0 * 2^3 + 1 * 2^4 + 1 * 2^5 + 0 * 2^6 + 1 * 2^7 = 93

Therefore, the decimal equivalent of the binary value 01011101 is 93.

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