Which of the following is the 4-bit binary representation of decimal 8?

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Multiple Choice

Which of the following is the 4-bit binary representation of decimal 8?

Explanation:
Converting a decimal to a 4-bit binary uses the weights 8, 4, 2, and 1 for each bit from left to right. To represent 8, you put 1 in the 8’s place and 0 in the other places, giving 1000. This works because 1×8 + 0×4 + 0×2 + 0×1 equals 8. For reference, 0001 represents 1, 0100 represents 4, and 0011 represents 3. Therefore, 1000 is the correct 4-bit binary form of decimal 8.

Converting a decimal to a 4-bit binary uses the weights 8, 4, 2, and 1 for each bit from left to right. To represent 8, you put 1 in the 8’s place and 0 in the other places, giving 1000. This works because 1×8 + 0×4 + 0×2 + 0×1 equals 8. For reference, 0001 represents 1, 0100 represents 4, and 0011 represents 3. Therefore, 1000 is the correct 4-bit binary form of decimal 8.

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