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Pieter Wuille
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However, can it be 0 given the way the target is encoded in nBits?

Yes. The encoding in nBits for target 0 is 0x00000000.

Since the smallest legal value for the lower 24 bits is 0x008000 and if we take into account that the minimal exponent is only 3, it look like the lowest possible value for target is 0x008000, that is for nBits 0x03008000.

The rule about the mantissa needing to be at least 0x008000 only applies when the value is nonzero. It's there to make sure numbers have a unique encoding, but as this example point out, it would preclude encoding 0 if applied the same way for it.

So, the values are: 0x00000000 (0), 0x01010000 (1), 0x01020000 ... 0x017F0000 (2 - 127), 0x02008000 (128), 0x02008100 (129), 0x02008200 ... 0x027FFF00 (130 - 32767), 0x03008000 (32768) and so on...

  • 0x00000000 (0),
  • 0x01010000 (1),
  • 0x01020000 ... 0x017F0000 (2 - 127)
  • 0x02008000 (128)
  • 0x02008100 (129)
  • 0x02008200 ... 0x027FFF00 (130 - 32767)
  • 0x03008000 (32768) and so on...

However, can it be 0 given the way the target is encoded in nBits?

Yes. The encoding in nBits for target 0 is 0x00000000.

Since the smallest legal value for the lower 24 bits is 0x008000 and if we take into account that the minimal exponent is only 3, it look like the lowest possible value for target is 0x008000, that is for nBits 0x03008000.

The rule about the mantissa needing to be at least 0x008000 only applies when the value is nonzero. It's there to make sure numbers have a unique encoding, but as this example point out, it would preclude encoding 0 if applied the same way for it.

So, the values are: 0x00000000 (0), 0x01010000 (1), 0x01020000 ... 0x017F0000 (2 - 127), 0x02008000 (128), 0x02008100 (129), 0x02008200 ... 0x027FFF00 (130 - 32767), 0x03008000 (32768) and so on...

However, can it be 0 given the way the target is encoded in nBits?

Yes. The encoding in nBits for target 0 is 0x00000000.

Since the smallest legal value for the lower 24 bits is 0x008000 and if we take into account that the minimal exponent is only 3, it look like the lowest possible value for target is 0x008000, that is for nBits 0x03008000.

The rule about the mantissa needing to be at least 0x008000 only applies when the value is nonzero. It's there to make sure numbers have a unique encoding, but as this example point out, it would preclude encoding 0 if applied the same way for it.

So, the values are:

  • 0x00000000 (0),
  • 0x01010000 (1),
  • 0x01020000 ... 0x017F0000 (2 - 127)
  • 0x02008000 (128)
  • 0x02008100 (129)
  • 0x02008200 ... 0x027FFF00 (130 - 32767)
  • 0x03008000 (32768) and so on...

However, can it be 0 given the way the target is encoded in nBits?

Yes. The encoding in nBits for target 0 is 0x00000000.

Since the smallest legal value for the lower 24 bits is 0x008000 and if we take into account that the minimal exponent is only 3, it look like the lowest possible value for target is 0x008000, that is for nBits 0x03008000.

The rule about the mantissa needing to be at least 0x008000 only applies when the value is nonzero. It's there to make sure numbers have a unique encoding, but as this example point out, it would preclude encoding 0 if applied the same way for it.

So, the values are: 0x00000000 (0), 0x01010000 (1), 0x01020000 ... 0x017F0000 (2 - 127), 0x02008000 (128), 0x02008100 (129), 0x02008200 ... 0x027FFF00 (130 - 32767), 0x03008000 (32768) and so on...

However, can it be 0 given the way the target is encoded in nBits?

Yes. The encoding in nBits for target 0 is 0x00000000.

Since the smallest legal value for the lower 24 bits is 0x008000 and if we take into account that the minimal exponent is only 3, it look like the lowest possible value for target is 0x008000, that is for nBits 0x03008000.

The rule about the mantissa needing to be at least 0x008000 only applies when the value is nonzero. It's there to make sure numbers have a unique encoding, but as this example point out, it would preclude encoding 0 if applied the same way for it.

However, can it be 0 given the way the target is encoded in nBits?

Yes. The encoding in nBits for target 0 is 0x00000000.

Since the smallest legal value for the lower 24 bits is 0x008000 and if we take into account that the minimal exponent is only 3, it look like the lowest possible value for target is 0x008000, that is for nBits 0x03008000.

The rule about the mantissa needing to be at least 0x008000 only applies when the value is nonzero. It's there to make sure numbers have a unique encoding, but as this example point out, it would preclude encoding 0 if applied the same way for it.

So, the values are: 0x00000000 (0), 0x01010000 (1), 0x01020000 ... 0x017F0000 (2 - 127), 0x02008000 (128), 0x02008100 (129), 0x02008200 ... 0x027FFF00 (130 - 32767), 0x03008000 (32768) and so on...

However, can it be 0 given the way the target is encoded in nBits?

Yes. The encoding in nBits for target 0 is 0x00000000.

Since the smallest legal value for the lower 24 bits is 0x008000 and if we take into account that the minimal exponent is only 3, it look like the lowest possible value for target is 0x008000, that is for nBits 0x03008000.

The rule about the mantissa needing to be at least 0x0800000x008000 only applies when the value is nonzero. It's there to make sure numbers have a unique encoding, but as this example point out, it would preclude encoding 00 if applied the same way for it.

However, can it be 0 given the way the target is encoded in nBits?

Yes. The encoding in nBits for target 0 is 0x00000000.

Since the smallest legal value for the lower 24 bits is 0x008000 and if we take into account that the minimal exponent is only 3, it look like the lowest possible value for target is 0x008000, that is for nBits 0x03008000.

The rule about the mantissa needing to be at least 0x080000 only applies when the value is nonzero. It's there to make sure numbers have a unique encoding, but as this example point out, it would preclude encoding 0 if applied the same way for it.

However, can it be 0 given the way the target is encoded in nBits?

Yes. The encoding in nBits for target 0 is 0x00000000.

Since the smallest legal value for the lower 24 bits is 0x008000 and if we take into account that the minimal exponent is only 3, it look like the lowest possible value for target is 0x008000, that is for nBits 0x03008000.

The rule about the mantissa needing to be at least 0x008000 only applies when the value is nonzero. It's there to make sure numbers have a unique encoding, but as this example point out, it would preclude encoding 0 if applied the same way for it.

deleted 39 characters in body
Source Link
Pieter Wuille
  • 109.7k
  • 9
  • 202
  • 318
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Source Link
Pieter Wuille
  • 109.7k
  • 9
  • 202
  • 318
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