Convert the binary number (101010)₂ to its decimal equivalent.

Correct option is D

To convert the binary number (101010)₂ into decimal, we apply the binary-to-decimal conversion method by multiplying each bit by 2 raised to the power of its positional index (starting from 0 on the right).

Thus, the decimal equivalent of (101010)₂ is 42.
Important Key Points:
1. Binary-to-decimal conversion involves multiplying each bit by powers of 2, starting from the rightmost bit.
2. This conversion method is essential in computing, especially in low-level data operations.
Knowledge Booster:
• Binary System: It is a base-2 numeral system consisting of only 0s and 1s, which is fundamental in computer operations.
• Decimal System: It is a base-10 numeral system, the standard system used for representing integer values in daily life.
• Octal System: Another numeral system with a base of 8, often used in computing, especially in legacy systems.
• Hexadecimal System: A base-16 numeral system widely used in programming and computing to represent large binary numbers in a more compact form.