Humanities/Arts Exam > Humanities/Arts Questions > Given below are two statements:Statement I: T...
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Given below are two statements:
Statement I: The binary equivalent of decimal number (19)10 is (10101)2.
Statement II: (1011)2 + (110)2 = (10101)2
In light of the above statements, choose the correct answer from the options given below:
Statement I: The binary equivalent of decimal number (19)10 is (10101)2.
Statement II: (1011)2 + (110)2 = (10101)2
In light of the above statements, choose the correct answer from the options given below:
- a)Both Statement I and Statement II are true
- b)Both Statement I and Statement II are false
- c)Statement I is true but Statement II is false
- d)Statement I is false but Statement II is true
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Given below are two statements:Statement I: The binary equivalent of d...
The binary system uses two symbols 0 and 1.
Key Points
Statement I: The binary equivalent of decimal number (19)10 is (10101)2.
Key Points
Statement I: The binary equivalent of decimal number (19)10 is (10101)2.
- To convert the binary equivalent of a decimal number
- 19/2 = 1
- 9/2 = 1
- 4/2 = 0
- 2/2 = 0
- 1/2 = 1
- So, (19)10 = (11001)10
Hence, Statement I is false.
Statement II: (1011)2 + (110)2 = (10101)2
Statement II: (1011)2 + (110)2 = (10101)2
- (1011)2 + (110)2 = (10101)2
LHS
- (1011)2 = 1. 24 + 0. 23 + 1.22 + 1.20 = (22)10
- (110)2 = 1.23 +1.22 + 0.21 = (12)10
RHS
- (10101)2 = 1.25 + 0.24 + 1.23 + 0.22 + 1.21 = (42)10
- Now, (22)10 + (12)10 = (34)10
LHS is not equal to RHS
- Therefore, (34)10 is not equal to (42)10
So, Statement II is false.
Therefore, Both Statement I and Statement II are false.
Therefore, Both Statement I and Statement II are false.
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Given below are two statements:Statement I: The binary equivalent of d...
Statement I: The binary equivalent of decimal number (19)10 is (10101)2.
Statement II: (1011)2 (110)2 = (10101)2
Explanation:
To determine the accuracy of the given statements, let's evaluate each statement separately.
Statement I:
To convert a decimal number to its binary equivalent, we divide the decimal number by 2 and record the remainder at each step until the quotient becomes zero.
For the decimal number (19)10, the conversion process is as follows:
19 ÷ 2 = 9 remainder 1
9 ÷ 2 = 4 remainder 1
4 ÷ 2 = 2 remainder 0
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1
Reading the remainders from bottom to top, the binary equivalent of (19)10 is (10011)2, not (10101)2.
Therefore, Statement I is false.
Statement II:
In this statement, we are performing the binary addition of (1011)2 and (110)2.
1 0 1 1
+ 1 1 0
__________
1 0 1 0 1
The sum of (1011)2 and (110)2 is (10101)2.
Therefore, Statement II is true.
Conclusion:
Based on the evaluation of the statements, we can conclude that Statement I is false and Statement II is true. Therefore, the correct answer is option B - Both Statement I and Statement II are false.
Statement II: (1011)2 (110)2 = (10101)2
Explanation:
To determine the accuracy of the given statements, let's evaluate each statement separately.
Statement I:
To convert a decimal number to its binary equivalent, we divide the decimal number by 2 and record the remainder at each step until the quotient becomes zero.
For the decimal number (19)10, the conversion process is as follows:
19 ÷ 2 = 9 remainder 1
9 ÷ 2 = 4 remainder 1
4 ÷ 2 = 2 remainder 0
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1
Reading the remainders from bottom to top, the binary equivalent of (19)10 is (10011)2, not (10101)2.
Therefore, Statement I is false.
Statement II:
In this statement, we are performing the binary addition of (1011)2 and (110)2.
1 0 1 1
+ 1 1 0
__________
1 0 1 0 1
The sum of (1011)2 and (110)2 is (10101)2.
Therefore, Statement II is true.
Conclusion:
Based on the evaluation of the statements, we can conclude that Statement I is false and Statement II is true. Therefore, the correct answer is option B - Both Statement I and Statement II are false.
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Given below are two statements:Statement I: The binary equivalent of decimal number (19)10 is (10101)2.Statement II: (1011)2 + (110)2 = (10101)2In light of the above statements, choose the correct answer from the options given below:a)Both Statement I and Statement II are trueb)Both Statement I and Statement II are falsec)Statement I is true but Statement II is falsed)Statement I is false but Statement II is trueCorrect answer is option 'B'. Can you explain this answer?
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Given below are two statements:Statement I: The binary equivalent of decimal number (19)10 is (10101)2.Statement II: (1011)2 + (110)2 = (10101)2In light of the above statements, choose the correct answer from the options given below:a)Both Statement I and Statement II are trueb)Both Statement I and Statement II are falsec)Statement I is true but Statement II is falsed)Statement I is false but Statement II is trueCorrect answer is option 'B'. Can you explain this answer? for Humanities/Arts 2024 is part of Humanities/Arts preparation. The Question and answers have been prepared according to the Humanities/Arts exam syllabus. Information about Given below are two statements:Statement I: The binary equivalent of decimal number (19)10 is (10101)2.Statement II: (1011)2 + (110)2 = (10101)2In light of the above statements, choose the correct answer from the options given below:a)Both Statement I and Statement II are trueb)Both Statement I and Statement II are falsec)Statement I is true but Statement II is falsed)Statement I is false but Statement II is trueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Humanities/Arts 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below are two statements:Statement I: The binary equivalent of decimal number (19)10 is (10101)2.Statement II: (1011)2 + (110)2 = (10101)2In light of the above statements, choose the correct answer from the options given below:a)Both Statement I and Statement II are trueb)Both Statement I and Statement II are falsec)Statement I is true but Statement II is falsed)Statement I is false but Statement II is trueCorrect answer is option 'B'. Can you explain this answer?.
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