What represents the decimal equivalence of 11100101?
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A. B. C. D.D
To convert a binary number to its decimal equivalent, we need to multiply each bit of the binary number by the corresponding power of 2 and add up all the resulting values.
In this case, the binary number is 11100101. We can start by writing out the powers of 2, starting from the rightmost bit:
2^0 = 1 2^1 = 2 2^2 = 4 2^3 = 8 2^4 = 16 2^5 = 32 2^6 = 64 2^7 = 128
Next, we can multiply each bit of the binary number by the corresponding power of 2:
1 * 1 = 1 0 * 2 = 0 1 * 4 = 4 0 * 8 = 0 0 * 16 = 0 1 * 32 = 32 1 * 64 = 64 1 * 128 = 128
Finally, we can add up all the resulting values:
1 + 0 + 4 + 0 + 0 + 32 + 64 + 128 = 229
Therefore, the decimal equivalent of the binary number 11100101 is 229. So the correct answer is D.