Question

represent -100 in 16-bit binary format and then convert it to Hexadecimal form.

Answer 1

This is negative. so, follow these steps to convert this into a 2's complement binary
Step 1:
Divide 100 successively by 2 until the quotient is 0
   > 100/2 = 50, remainder is 0
   > 50/2 = 25, remainder is 0
   > 25/2 = 12, remainder is 1
   > 12/2 = 6, remainder is 0
   > 6/2 = 3, remainder is 0
   > 3/2 = 1, remainder is 1
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 1100100
So, 100 of decimal is 1100100 in binary
Adding 9 zeros on left hand side of this number to make this of length 16
So, 100 in normal binary is 0000000001100100
Step 2: flip all the bits. Flip all 0's to 1 and all 1's to 0.
   0000000001100100 is flipped to 1111111110011011
Step 3:. Add 1 to above result
1111111110011011 + 1 = 1111111110011100
so, -100 in 2's complement binary is 1111111110011100
Hexadecimal     Binary
    0           0000
    1           0001
    2           0010
    3           0011
    4           0100
    5           0101
    6           0110
    7           0111
    8           1000
    9           1001
    A           1010
    B           1011
    C           1100
    D           1101
    E           1110
    F           1111
Use this table to convert from binary to hexadecimal
Converting 1111111110011100 to hexadecimal
1111 => F
1111 => F
1001 => 9
1100 => C
So, in hexadecimal 1111111110011100 is 0xFF9C
Answer: 0xFF9C