Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > On addition of -46 and +28 using 2’s co...
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On addition of -46 and +28 using 2’s complement, we get ____________
- a)-10010
- b)-00101
- c)01011
- d)0100101
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
On addition of -46 and +28 using 2’s complement, we get ________...
's complement method, we get:
-46 = 1101 0010 (in 8-bit binary)
To get its 2's complement, we need to invert all bits and add 1:
0010 1110 + 1 = 0010 1111
28 = 0001 1100 (in 8-bit binary)
Now we can add these two numbers using binary addition:
0010 1111 (2's complement of -46)
+ 0001 1100 (28)
-----------
0100 1011
The result in binary is 0100 1011, which is equal to 75 in decimal. However, since we used the 2's complement method to represent negative numbers, we need to check if the result is negative by looking at the leftmost bit (the sign bit). If it is 1, the result is negative. In this case, the leftmost bit is 0, so the result is positive. Therefore, the final answer is 75.
-46 = 1101 0010 (in 8-bit binary)
To get its 2's complement, we need to invert all bits and add 1:
0010 1110 + 1 = 0010 1111
28 = 0001 1100 (in 8-bit binary)
Now we can add these two numbers using binary addition:
0010 1111 (2's complement of -46)
+ 0001 1100 (28)
-----------
0100 1011
The result in binary is 0100 1011, which is equal to 75 in decimal. However, since we used the 2's complement method to represent negative numbers, we need to check if the result is negative by looking at the leftmost bit (the sign bit). If it is 1, the result is negative. In this case, the leftmost bit is 0, so the result is positive. Therefore, the final answer is 75.
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Community Answer
On addition of -46 and +28 using 2’s complement, we get ________...
The BCD form is written of the two given numbers, in their signed form. After which, normal binary addition is performed.
Augend is 28 and Subtrahend is -46.
Augend is 28 and Subtrahend is -46.
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On addition of -46 and +28 using 2’s complement, we get ____________a)-10010b)-00101c)01011d)0100101Correct answer is option 'A'. Can you explain this answer?
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