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anonymous

  • 5 years ago

What is the minimum number of bits required to represent +56,392 using 2’s complement form? conversion: Decimal to binary... grrr.. : / need help quick...

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  1. anonymous
    • 5 years ago
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    signed numbers excluding 0 = 2^5-1 digits including 0 = 2^5 digits

  2. anonymous
    • 5 years ago
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    i got it thanks :)

  3. anonymous
    • 5 years ago
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    just for binary, the number if bits is \[\lceil \log_{2}(56392) \rceil = 16\] For 2's compliment, add 1. (This matches the well known limits for 16-bit signed/unsigned values; maximum 16-bit unsigned = 2¹⁶-1 = 65535, maximum 16-bit signed = 2¹⁵-1 = 32767. 56392 can be expressed in a 16-bit unsigned value, but not in a 16-bit signed value.)

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