01101110 Decimal Equivalence

C

The binary number 01101110 has 8 digits, with the leftmost digit representing the most significant bit (MSB) and the rightmost digit representing the least significant bit (LSB). To convert this binary number to its decimal equivalent, we need to multiply each digit by the appropriate power of 2 and then add up the results.

Starting from the rightmost digit, we have:

0 * 2^0 = 0 1 * 2^1 = 2 1 * 2^2 = 4 0 * 2^3 = 0 1 * 2^4 = 16 1 * 2^5 = 32 0 * 2^6 = 0 0 * 2^7 = 0

Adding up these results, we get:

0 + 2 + 4 + 0 + 16 + 32 + 0 + 0 = 54

Therefore, the decimal equivalent of the binary number 01101110 is 54.

None of the answer choices provided matches the correct decimal equivalent, which is 54.