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A processor that has carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of the following two 2's complement numbers 01001101 and 11101001. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be:
- a)1, 1, 0
- b)1, 0, 0
- c)0, 1, 0
- d)1, 0, 1
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A processor that has carry, overflow and sign flag bits as part of its...
01001101
+11101001
————-
100110110
Overflow flag is set only if the X-OR between the carry-into the sign bit and carry -out of the sign bit is 1.” that implies “if two binary numbers added with same sign and result has different sign then overflow possible otherwise not possible”. Also, “if two binary numbers added with different sign then carry possible otherwise not possible”.
In fact, carry bit assumed numbers are unsigned and overflow bit assumed numbers are signed representation.
Therefore,
carry flag =1,
overflow flag = 0,
sign bit = 0
Option (B) is correct.
Most Upvoted Answer
A processor that has carry, overflow and sign flag bits as part of its...
Question Analysis
We are given two 2's complement numbers and we need to determine the status of the carry, overflow, and sign flags after performing addition on these numbers.
Solution
Step 1: Convert the numbers to decimal
To perform the addition, we need to convert the given 2's complement numbers to decimal.
The first number, 01001101, is positive because the leftmost bit is 0. Its decimal representation is:
01001101 = 0 * 2^7 + 1 * 2^6 + 0 * 2^5 + 0 * 2^4 + 1 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0 = 77
The second number, 11101001, is negative because the leftmost bit is 1. To convert it to decimal, we need to find the 1's complement first. The 1's complement is obtained by flipping all the bits:
11101001 -> 00010110
To obtain the 2's complement, we add 1 to the 1's complement:
00010110 + 1 = 00010111
The decimal representation of the second number is -23.
Step 2: Perform the addition
Now, we can perform the addition of the two decimal numbers:
77 + (-23) = 54
Step 3: Determine the carry flag
The carry flag is set when there is a carry out from the most significant bit. In this case, the addition of 77 and -23 does not result in a carry out from the most significant bit. Therefore, the carry flag is 0.
Step 4: Determine the overflow flag
The overflow flag is set when the addition of two numbers with the same sign results in a different sign. In this case, 77 and -23 have different signs (positive and negative), so the overflow flag is 0.
Step 5: Determine the sign flag
The sign flag indicates the sign of the result. Since the result of the addition, 54, is positive, the sign flag is 0.
Therefore, the status of the carry, overflow, and sign flags after the execution of this addition operation is 0, 0, 0, respectively.
Final Answer
The correct option is (b) 0, 0, 0.
We are given two 2's complement numbers and we need to determine the status of the carry, overflow, and sign flags after performing addition on these numbers.
Solution
Step 1: Convert the numbers to decimal
To perform the addition, we need to convert the given 2's complement numbers to decimal.
The first number, 01001101, is positive because the leftmost bit is 0. Its decimal representation is:
01001101 = 0 * 2^7 + 1 * 2^6 + 0 * 2^5 + 0 * 2^4 + 1 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0 = 77
The second number, 11101001, is negative because the leftmost bit is 1. To convert it to decimal, we need to find the 1's complement first. The 1's complement is obtained by flipping all the bits:
11101001 -> 00010110
To obtain the 2's complement, we add 1 to the 1's complement:
00010110 + 1 = 00010111
The decimal representation of the second number is -23.
Step 2: Perform the addition
Now, we can perform the addition of the two decimal numbers:
77 + (-23) = 54
Step 3: Determine the carry flag
The carry flag is set when there is a carry out from the most significant bit. In this case, the addition of 77 and -23 does not result in a carry out from the most significant bit. Therefore, the carry flag is 0.
Step 4: Determine the overflow flag
The overflow flag is set when the addition of two numbers with the same sign results in a different sign. In this case, 77 and -23 have different signs (positive and negative), so the overflow flag is 0.
Step 5: Determine the sign flag
The sign flag indicates the sign of the result. Since the result of the addition, 54, is positive, the sign flag is 0.
Therefore, the status of the carry, overflow, and sign flags after the execution of this addition operation is 0, 0, 0, respectively.
Final Answer
The correct option is (b) 0, 0, 0.
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A processor that has carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of thefollowing two 2's complement numbers 01001101 and 11101001. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be:a)1, 1, 0b)1, 0, 0c)0, 1, 0d)1, 0, 1Correct answer is option 'B'. Can you explain this answer?
Question Description
A processor that has carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of thefollowing two 2's complement numbers 01001101 and 11101001. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be:a)1, 1, 0b)1, 0, 0c)0, 1, 0d)1, 0, 1Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about A processor that has carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of thefollowing two 2's complement numbers 01001101 and 11101001. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be:a)1, 1, 0b)1, 0, 0c)0, 1, 0d)1, 0, 1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A processor that has carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of thefollowing two 2's complement numbers 01001101 and 11101001. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be:a)1, 1, 0b)1, 0, 0c)0, 1, 0d)1, 0, 1Correct answer is option 'B'. Can you explain this answer?.
A processor that has carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of thefollowing two 2's complement numbers 01001101 and 11101001. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be:a)1, 1, 0b)1, 0, 0c)0, 1, 0d)1, 0, 1Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about A processor that has carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of thefollowing two 2's complement numbers 01001101 and 11101001. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be:a)1, 1, 0b)1, 0, 0c)0, 1, 0d)1, 0, 1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A processor that has carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of thefollowing two 2's complement numbers 01001101 and 11101001. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be:a)1, 1, 0b)1, 0, 0c)0, 1, 0d)1, 0, 1Correct answer is option 'B'. Can you explain this answer?.
Solutions for A processor that has carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of thefollowing two 2's complement numbers 01001101 and 11101001. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be:a)1, 1, 0b)1, 0, 0c)0, 1, 0d)1, 0, 1Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
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