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A number P represented in signed binary 2’s complement form is 1001101. Another number Q1 represented in signed binary 2’s complement form is 11010111. If Q is subtracted from P, the result expressed in signed binary 2’s complement form
- a)10111
- b)10011
- c)10110
- d)10010
Correct answer is option 'C'. Can you explain this answer?
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A number P represented in signedbinary 2’s complement form is100...
In a signed binary representation, the most significant bit (MSB) is used to represent the sign of the number. If the MSB is 0, then the number is positive, and if the MSB is 1, then the number is negative.
To represent a number P in signed binary, we need to determine the number of bits required to represent the magnitude of P. Let's assume that P is a positive number.
1. Find the binary representation of the magnitude of P. For example, if P = 17, then the binary representation of 17 is 10001.
2. If the MSB of the binary representation is 0, then the number is positive, and we can directly use the binary representation as the signed binary representation. So, P in signed binary would be 10001.
Now, let's assume that P is a negative number.
1. Find the binary representation of the magnitude of P. For example, if P = -17, then the binary representation of 17 is 10001.
2. Flip all the bits of the binary representation. In this case, it would be 01110.
3. Add 1 to the flipped binary representation. In this case, it would be 01111.
4. Use the flipped and added binary representation as the signed binary representation of P. So, P in signed binary would be 01111.
Note: The number of bits used to represent P depends on the range of values that can be represented in the signed binary representation. For example, if we are using a 4-bit signed binary representation, the range of values that can be represented is -8 to 7.
To represent a number P in signed binary, we need to determine the number of bits required to represent the magnitude of P. Let's assume that P is a positive number.
1. Find the binary representation of the magnitude of P. For example, if P = 17, then the binary representation of 17 is 10001.
2. If the MSB of the binary representation is 0, then the number is positive, and we can directly use the binary representation as the signed binary representation. So, P in signed binary would be 10001.
Now, let's assume that P is a negative number.
1. Find the binary representation of the magnitude of P. For example, if P = -17, then the binary representation of 17 is 10001.
2. Flip all the bits of the binary representation. In this case, it would be 01110.
3. Add 1 to the flipped binary representation. In this case, it would be 01111.
4. Use the flipped and added binary representation as the signed binary representation of P. So, P in signed binary would be 01111.
Note: The number of bits used to represent P depends on the range of values that can be represented in the signed binary representation. For example, if we are using a 4-bit signed binary representation, the range of values that can be represented is -8 to 7.
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A number P represented in signedbinary 2’s complement form is1001101. Another number Q1represented in signed binary 2’scomplement form is 11010111. IfQ is subtracted from P, the resultexpressed in signed binary 2’scomplement forma)10111b)10011c)10110d)10010Correct answer is option 'C'. Can you explain this answer?
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