Question

convert -45 to 9-bit 2's complement.

Answer 1

This is negative. so, follow these steps to convert this into a 2's complement binary
Step 1:
Divide 45 successively by 2 until the quotient is 0
45/2 = 22, remainder is 1
22/2 = 11, remainder is 0
11/2 = 5, remainder is 1
5/2 = 2, remainder is 1
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
Read remainders from the bottom to top as 101101
Adding 3 zeros on left hand side of this number to make this of length 9
So, 45 in normal binary is 000101101
Step 2: flip all the bits. Flip all 0's to 1 and all 1's to 0.
   000101101 is flipped to 111010010
Step 3:. Add 1 to above result
111010010 + 1 = 111010011
so, -45 in 2's complement binary is 111010011
Answer: 111010011