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What integer values can 4 bits of B2O represent? What about B2S?

User Chrysoula
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Final answer:

Integer values represented by 4 bits in Binary base 2 ordinary (B2O) range from 0 to 15, while in base 2 signed (B2S) notation, the range is from -8 to 7. The highest bit in B2S determines the sign, whereas the remaining bits represent magnitude.

Step-by-step explanation:

The question seems to be asking about different topics, including boron isotopes and elementary particles, possibly due to typos or confusion. However, addressing the core of the question about what integer values can be represented by 4 bits, in the frameworks of Binary base 2 ordinary notation (B2O) and base 2 signed notation (B2S), here's the explanation:

In B2O, 4 bits can represent integers from 0 to 15. This is because the largest number you can have with 4 bits in binary is 1111, which translates to 1+(2^1)+(2^2)+(2^3)=15 in decimal. Conversely, the smallest is 0000, which is 0 in decimal.

In B2S, which likely refers to signed binary numbers using two's complement representation, the range is from -8 to 7. This is because the highest bit is used for the sign (0 for positive, 1 for negative), and the remaining 3 bits are for magnitude. Thus, the largest positive number is 0111 (7 in decimal), and the lowest negative number is 1000 (-8 in decimal).

User Jeff Yates
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