What is the binary equivalent of the unsigned decimal number 173?

2025

What is the binary equivalent of the unsigned decimal number 173?

Answer: A. 10101101To convert the decimal number 173 to binary, we repeatedly divide by 2 and record the remainders. Dividing 173 by 2 gives a quotient of 86 and a remainder of…

  1. A.

    10101101

  2. B.

    10101100

  3. C.

    10101111

  4. D.

    10101011

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Correct answer: A

To convert the decimal number 173 to binary, we repeatedly divide by 2 and record the remainders. Dividing 173 by 2 gives a quotient of 86 and a remainder of 1. Continuing this process: 86 divided by 2 is 43 with remainder 0; 43 divided by 2 is 21 with remainder 1; 21 divided by 2 is 10 with remainder 1; 10 divided by 2 is 5 with remainder 0; 5 divided by 2 is 2 with remainder 1; and finally, 2 divided by 2 is 1 with remainder 0. Reading the remainders from bottom to top yields the binary sequence 10101101. Alternatively, you can sum powers of 2: 128 + 32 + 8 + 4 + 1 equals 173, which corresponds to bits set at positions 7, 5, 3, 2, and 0. Option B (10101100) is incorrect because it equals 172, missing the final unit. Option C (10101111) is incorrect as it sums to 175, adding extra value. Therefore, Option A represents the correct binary equivalent.

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