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Explain into details how the computer will distinguish between the following duringstorage.-7 and 732 and -32-6 and 6

Question

Explain into details how the computer will distinguish between the following during storage.

  • -7 and 732
  • -32 and -6
  • 6
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Solution

Computers store and distinguish between different numbers using binary code, which is a system of representing numbers using only two digits: 0 and 1. Here's how the computer would distinguish between the numbers -7, 732, -32, -6, and 6:

  1. Positive and Negative Numbers: Computers use a system called two's complement to represent negative numbers. The leftmost bit is used as a sign bit. If the sign bit is 0, the number is positive. If the sign bit is 1, the number is negative.

  2. -7: In binary, 7 is represented as 0111. To get -7, we first invert the bits to get 1000, then add 1 to get 1001. So, -7 is stored as 1001.

  3. 732: This is a positive number, so the sign bit is 0. The binary representation of 732 is 1011011100.

  4. -32: In binary, 32 is represented as 100000. To get -32, we first invert the bits to get 011111, then add 1 to get 100000. So, -32 is stored as 1100000.

  5. -6: In binary, 6 is represented as 0110. To get -6, we first invert the bits to get 1001, then add 1 to get 1010. So, -6 is stored as 1010.

  6. 6: This is a positive number, so the sign bit is 0. The binary representation of 6 is 0110.

So, the computer distinguishes between these numbers based on their binary representations and the sign bit.

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