Question

Add 111 0011 to 100 1100 and show the V and C bits (seven bits)

Answer 1

V = 1
C = 1
because overflow (V) was there and carry (C) was there

Explanation:
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Adding 1110011 and 1001100 in binary
    1110011
    1001100
------------
 (1)0111111
------------
Sum produces a carry of 1. We can ignore that carry.
So, sum of these numbers in binary is 0111111

Verification
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first = 1110011
since left most bit is 1, this number is negative number.
so, follow these steps below to convert this into a decimal value.
I. first flip all the bits. Flip all 0's to 1 and all 1's to 0.
   1110011 is flipped to 0001100
II. Add 1 to above result
0001100 + 1 = 0001101
III. Now convert this result to decimal value
Converting 1101 to decimal
1101
=> 1x2^3+1x2^2+0x2^1+1x2^0
=> 1x8+1x4+0x2+1x1
=> 8+4+0+1
=> 13
Answer: -13

second = 1001100
since left most bit is 1, this number is negative number.
so, follow these steps below to convert this into a decimal value.
I. first flip all the bits. Flip all 0's to 1 and all 1's to 0.
   1001100 is flipped to 0110011
II. Add 1 to above result
0110011 + 1 = 0110100
III. Now convert this result to decimal value
Converting 110100 to decimal
110100
=> 1x2^5+1x2^4+0x2^3+1x2^2+0x2^1+0x2^0
=> 1x32+1x16+0x8+1x4+0x2+0x1
=> 32+16+0+4+0+0
=> 52
Answer: -52

sum = 0111111
since left most bit is 0, this number is positive
so, we can directly convert this into a decimal value
Converting 111111 to decimal
111111
=> 1x2^5+1x2^4+1x2^3+1x2^2+1x2^1+1x2^0
=> 1x32+1x16+1x8+1x4+1x2+1x1
=> 32+16+8+4+2+1
=> 63
Answer: 63
-13+-52 must be -65
This is not correct since we can verify that -13+-52 not equals 63
So, there was an overflow.