A CPU has an arithmetic unit that adds bytes and then sets its V, C and Z flag bits as follows: the V-bit is set if arithmetic overflow occurs. The C-bit is set if a carry-out is generated from the most significant bit during an operation. The Z-bit is set if the result is zero. What are the values of the V, C and Z flag bits respectively after the 8-bit bytes 1100 1100 and 1000 1111 are added?

1, 1, 0 Explanation: Binary Addition Analysis Hamare paas do 8-bit numbers hain: A = B = Inka addition process niche table me dekho: Carry In Number 1 Number 2 Sum Bit Carry Out - 0 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 (C-bit) Flag Calculation Logic C (Carry Flag): Last column (MSB) me karne par carry-out 1 bacha. Z (Zero Flag): Addition ke baad result aaya, jo ki zero nahi hai. V (Overflow Flag): Iska simple formula hota hai: . MSB me carry aaya tha: MSB se carry bahar gaya: Correct Sequence (V, C, Z): 1, 1, 0 Option: (b)

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NIMCET 2008 Computer PYQ — A CPU has an arithmetic unit that adds bytes and then sets its V,… | Mathem Solvex

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NIMCET 2008 Computer PYQ — A CPU has an arithmetic unit that adds bytes and then sets its V,… | Mathem Solvex | Mathem Solvex

Explanation

Binary Addition Analysis

Hamare paas do 8-bit numbers hain:

A = $11001100$
B = $10001111$

Inka addition process niche table me dekho:

Carry In	Number 1	Number 2	Sum Bit	Carry Out
-	0	1	1	0
0	0	1	1	0
0	1	1	0	1
1	1	1	1	1
1	0	0	1	0
0	0	0	0	0
0	1	0	1	0
0	1	1	0	1 (C-bit)

Flag Calculation Logic

C (Carry Flag): Last column (MSB) me $1 + 1$ karne par carry-out 1 bacha.

$C = 1$
Z (Zero Flag): Addition ke baad result $01011011$ aaya, jo ki zero nahi hai.

$Z = 0$
V (Overflow Flag): Iska simple formula hota hai: $V = (\text{Carry into MSB}) \oplus (\text{Carry out of MSB})$ .
- MSB me carry aaya tha: $0$
- MSB se carry bahar gaya: $1$
- $V = 0 \oplus 1 = 1$
  
  $V = 1$

Correct Sequence (V, C, Z):

1, 1, 0

Option: (b)

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NIMCET 2008 — Computer PYQ

Choose the correct answer:

Explanation

Binary Addition Analysis

Flag Calculation Logic

Explanation

Binary Addition Analysis

Flag Calculation Logic