Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > 11001, 1001 and 111001 correspond to the 2...
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11001, 1001 and 111001 correspond to the 2’s complement representation of the following set of numbers
- a)25, 9 and 57 respectively
- b)-6, -6 and -6 respectively
- c)-7, -7 and -7 respectively
- d)-25, -9 and -57 respectively
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
11001, 1001 and 111001 correspond to the 2’s complement represen...
2's complement of 11001 = 00110 + 1 = 00111
00111 is 7 in decimal, so 11001 is 2's complement representation of -7.
2's complement of 1001 = 0110 + 1 = 0111
0111 is 7 in decimal, so 1001 is 2's complement representation of -7.
2's complement of 111001 = 000110 + 1 = 000111
000111 is 7 in decimal, so 111001 is 2's complement representation of -7.
Most Upvoted Answer
11001, 1001 and 111001 correspond to the 2’s complement represen...
Given:
11001, 1001, and 111001 correspond to the 2s complement representation of the following set of numbers
a) 25, 9, and 57 respectively
b) -6, -6, and -6 respectively
c) -7, -7, and -7 respectively
d) -25, -9, and -57 respectively
To find out the correct option, we need to convert the given binary numbers into decimal using 2s complement method.
2s complement representation:
- For positive numbers, the 2s complement representation is the same as the binary representation.
- For negative numbers, the 2s complement representation is obtained by taking the 1's complement of the absolute value of the number and adding 1 to it.
Conversion of binary to decimal using 2s complement method:
- If the most significant bit (MSB) is 0, the number is positive and the binary representation is the same as the decimal representation.
- If the MSB is 1, the number is negative and we need to convert it to decimal using the 2s complement method.
- To convert a negative number from 2s complement to decimal, we first take the 1's complement of the number (i.e., replace all the 0s with 1s and all the 1s with 0s).
- Then we add 1 to the 1's complement to get the 2s complement representation.
- Finally, we convert the 2s complement representation to decimal by multiplying each bit with its corresponding weight and adding the products.
Conversion of given binary numbers to decimal:
a) 11001 represents -7 in 2s complement representation
b) 1001 represents -7 in 2s complement representation
c) 111001 represents -7 in 2s complement representation
Therefore, the correct option is (c) -7, -7, and -7 respectively.
11001, 1001, and 111001 correspond to the 2s complement representation of the following set of numbers
a) 25, 9, and 57 respectively
b) -6, -6, and -6 respectively
c) -7, -7, and -7 respectively
d) -25, -9, and -57 respectively
To find out the correct option, we need to convert the given binary numbers into decimal using 2s complement method.
2s complement representation:
- For positive numbers, the 2s complement representation is the same as the binary representation.
- For negative numbers, the 2s complement representation is obtained by taking the 1's complement of the absolute value of the number and adding 1 to it.
Conversion of binary to decimal using 2s complement method:
- If the most significant bit (MSB) is 0, the number is positive and the binary representation is the same as the decimal representation.
- If the MSB is 1, the number is negative and we need to convert it to decimal using the 2s complement method.
- To convert a negative number from 2s complement to decimal, we first take the 1's complement of the number (i.e., replace all the 0s with 1s and all the 1s with 0s).
- Then we add 1 to the 1's complement to get the 2s complement representation.
- Finally, we convert the 2s complement representation to decimal by multiplying each bit with its corresponding weight and adding the products.
Conversion of given binary numbers to decimal:
a) 11001 represents -7 in 2s complement representation
b) 1001 represents -7 in 2s complement representation
c) 111001 represents -7 in 2s complement representation
Therefore, the correct option is (c) -7, -7, and -7 respectively.
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Community Answer
11001, 1001 and 111001 correspond to the 2’s complement represen...
2's complement Representation to Decimal:
MSB : -2^(n-1) and other bits carry their own weight.
11001 = -2^(5-1) + 2^3 + 1 = -16+8+1 = -7
1001 = -2^(4-1) + 1 = -8+1 = -7
111001 = -2^(6-1) + 2^4 +2^3+1= -32+16+8+1 = -7
MSB : -2^(n-1) and other bits carry their own weight.
11001 = -2^(5-1) + 2^3 + 1 = -16+8+1 = -7
1001 = -2^(4-1) + 1 = -8+1 = -7
111001 = -2^(6-1) + 2^4 +2^3+1= -32+16+8+1 = -7
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11001, 1001 and 111001 correspond to the 2’s complement representation of the following set of numbersa)25, 9 and 57 respectivelyb)-6, -6 and -6 respectivelyc)-7, -7 and -7 respectivelyd)-25, -9 and -57 respectivelyCorrect answer is option 'C'. Can you explain this answer?
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11001, 1001 and 111001 correspond to the 2’s complement representation of the following set of numbersa)25, 9 and 57 respectivelyb)-6, -6 and -6 respectivelyc)-7, -7 and -7 respectivelyd)-25, -9 and -57 respectivelyCorrect answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about 11001, 1001 and 111001 correspond to the 2’s complement representation of the following set of numbersa)25, 9 and 57 respectivelyb)-6, -6 and -6 respectivelyc)-7, -7 and -7 respectivelyd)-25, -9 and -57 respectivelyCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 11001, 1001 and 111001 correspond to the 2’s complement representation of the following set of numbersa)25, 9 and 57 respectivelyb)-6, -6 and -6 respectivelyc)-7, -7 and -7 respectivelyd)-25, -9 and -57 respectivelyCorrect answer is option 'C'. Can you explain this answer?.
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