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20 June, 08:53

A computer program uses 3 bits to represent integers. When the program adds the decimal (base 10) numbers 6 and 2, the result is 0. Which of the following is the best explanation for this result?

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  1. 20 June, 11:46
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    The resultant integer (decimal number) exceeds 3 bits.

    Explanation:

    The computer program uses 3 bits of the 4 bits of the computer system, counting from the least significant bit.

    The decimal number 6 and 2 are "0110" and "0010"respectively, represented by the computer system.

    The computer program represents the 6 and 2 with 3 bits from the least significant bit (that is, it counts from the right). so 6 and 2 becomes 110 and 010 respectively.

    = 6 + 2 = 8

    = "110" + "010" = "1000"

    Adding 6 and 2 gives 8 represented as "1000" by the computer system, but the computer program represents as "000"
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