Question

Add 011 0011 to 010 1100 and show the V and C bits (seven bits and show work)

Answer 1

V = 1
C = 0
because there was overflow and no carry

Explanation:
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Adding 0110011 and 0101100 in binary
    0110011
    0101100
------------
 (0)1011111
------------
Sum does not produces a carry
So, sum of these numbers in binary is 1011111

Verification
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first = 0110011
since left most bit is 0, this number is positive
so, we can directly convert this into a decimal value
Converting 110011 to decimal
110011
=> 1x2^5+1x2^4+0x2^3+0x2^2+1x2^1+1x2^0
=> 1x32+1x16+0x8+0x4+1x2+1x1
=> 32+16+0+0+2+1
=> 51
Answer: 51

second = 0101100
since left most bit is 0, this number is positive
so, we can directly convert this into a decimal value
Converting 101100 to decimal
101100
=> 1x2^5+0x2^4+1x2^3+1x2^2+0x2^1+0x2^0
=> 1x32+0x16+1x8+1x4+0x2+0x1
=> 32+0+8+4+0+0
=> 44
Answer: 44

sum = 1011111
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.
   1011111 is flipped to 0100000
II. Add 1 to above result
0100000 + 1 = 0100001
III. Now convert this result to decimal value
Converting 100001 to decimal
100001
=> 1x2^5+0x2^4+0x2^3+0x2^2+0x2^1+1x2^0
=> 1x32+0x16+0x8+0x4+0x2+1x1
=> 32+0+0+0+0+1
=> 33
Answer: -33
51+44 must be 95
This is not correct since we can verify that 51+44 not equals -33
So, there was an overflow.