Convert the following to Binary using 16 bits. Please note that negative numbers are represented with 2's complement

Question

1) 65535 (unsigned)

2) -725 (signed)

Answer 1

1)

Notice that 65535 = 2¹⁶ - 1.

That means 65535 is the largest integer that can fit into 16 bit-unsigned representation.

Therefore in binary it is

1111111111111111

2)

There are a couple ways of converting negative numbers.

For -725 this one might be easier; hopefully this is how you did it in school.

- Convert +725 to 16-bits binary ==> 0000001011010101

- Form the complement 1111110100101010

- Add 1 1111110100101011