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Q143 (CISF/2021) Science & Technology › ICT, AI, Cybersecurity & Emerging Tech

Which one of the following bits is reserved for the sign bit in signed-magnitude representation?

Explanation

In digital electronics and computer science, signed-magnitude representation is a method used to represent both positive and negative integers in binary form. In this system, the Most Significant Bit (MSB), which is the leftmost bit of the binary number, is reserved as the sign bit.

  • A sign bit of 0 indicates a positive number.
  • A sign bit of 1 indicates a negative number.

The remaining bits in the sequence represent the magnitude or absolute value of the number. For example, in an 8-bit signed-magnitude system, the first bit (MSB) determines the sign, while the subsequent 7 bits represent the numerical value. This differs from the Least Significant Bit (LSB), which is the rightmost bit and represents the lowest power of 2 (20).

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