Respuesta :
Bin 1111111111111111 (16)
Dec 65535 [(2^16)-1]
Hex FFFF [(16^4)-1]
Dec 65535 [(2^16)-1]
Hex FFFF [(16^4)-1]
Using numeric representation concepts, it is found that:
- The largest binary number that can be represented is: [tex]1111111111111111[/tex]
- The equivalent decimal number is 65,535.
- The equivalent hexadecimal number is FFFF.
----------------------
- In a numeric arithmetic of n bits, the largest possible number that can be represented is when all n bits are ones, and it's decimal value is of [tex]2^n - 1[/tex].
- Thus, with 16 bits, the largest number is when all 16 bits are ones, thus: [tex]1111111111111111[/tex].
- As a decimal, it is [tex]2^{16} - 1 = 65,535[/tex].
- Hexadecimals are composed by 4 bits. The smallest is 0(0000) and the largest is F(1111).
- Thus, as a hexadecimal, the equivalent is: FFFF.
A similar problem is given at https://brainly.com/question/17643864
