Which 8-bit binary sequence represents decimal 32?

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Multiple Choice

Which 8-bit binary sequence represents decimal 32?

Explanation:
In eight-bit binary, each bit represents a power of two, from 2^7 on the left to 2^0 on the right. To represent decimal 32, you need the bit for 2^5 to be 1 and all other bits 0. That gives 00100000. The pattern with 1 in the 2^4 position equals 16 (00010000), and the pattern with 1 in the 2^6 position equals 64 (01000000). The short sequence 0010000 isn’t eight bits long, so it isn’t the proper 8-bit representation. So the correct form is the one with the 1 in the 32’s place.

In eight-bit binary, each bit represents a power of two, from 2^7 on the left to 2^0 on the right. To represent decimal 32, you need the bit for 2^5 to be 1 and all other bits 0. That gives 00100000. The pattern with 1 in the 2^4 position equals 16 (00010000), and the pattern with 1 in the 2^6 position equals 64 (01000000). The short sequence 0010000 isn’t eight bits long, so it isn’t the proper 8-bit representation. So the correct form is the one with the 1 in the 32’s place.

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