how is the decimal number 0 represented in binary?

how is the decimal number 0 represented in binary?

3 hours ago 2
Nature

The decimal number 0 is represented in binary simply as 0. This means that the binary representation of zero is a single bit set to 0. More specifically:

  • In basic binary notation, zero is just "0"
  • In common binary integer formats like two's complement, zero is represented as all bits zero, e.g., "0000 0000" for an 8-bit number
  • In floating-point binary formats (such as IEEE 754), zero is represented by all exponent and significand bits being zero, with the sign bit indicating positive or negative zero (though both represent the value zero)

Thus, the fundamental binary representation of decimal zero is a string of bits all set to zero, often just "0" for simplicity.

Summary:

  • Decimal 0 in binary: 0
  • In n-bit integer formats: all bits 0 (e.g., 00000000)
  • In floating-point: exponent and significand zero, sign bit may vary (±0)

This is consistent across binary systems and is the direct equivalent of zero in decimal

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