Question

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...

Answer 1

signed numbers excluding 0 = 2^5-1 digits including 0 = 2^5 digits

Answer 2

i got it thanks :)

Answer 3

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.)