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Given below are two statements:
Statement I: 8 megabytes = 213 gigabytes
Statement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.
In the light of the above statements, choose the correct answer from the options given below:
Statement I: 8 megabytes = 213 gigabytes
Statement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.
In the 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 'D'. Can you explain this answer?
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Most Upvoted Answer
Given below are two statements:Statement I: 8 megabytes = 213 gigabyte...
Statement I: 8 megabytes = 213 gigabytes.
- As we know, 1 MB = 2010 KB.
- So, 8 MB = 23 + 2010 KB
- Thus, 8 MB = 213 KB
Thus, Statement I is false.
Statement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.
Statement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.
- According to Question, (11101.101)2 = (29.625)10.
- Now, Convert the Binary number to a Decimal number,
- (11101.101)2 = 1*24+1*23+1*22 + 0*21+1*20. 1*2-1+0*2-2+1*2-3
- (11101.101)2 = 16+8+4+0.1/2+1/8.
- (11101.101)2 = 29 (·500+·125).
- (11101.101)2 = 29 (·625)
- Thus, (11101.101)2 = 29.625
So, Statement II is true.
Therefore, The correct answer is Statement I is false but Statement II is true.
Therefore, The correct answer is Statement I is false but Statement II is true.
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Community Answer
Given below are two statements:Statement I: 8 megabytes = 213 gigabyte...
Statement I: 8 megabytes = 213 gigabytes
This statement is false.
The conversion between megabytes (MB) and gigabytes (GB) involves multiplying or dividing by 1,024. In other words, 1 gigabyte is equal to 1,024 megabytes. Therefore, to convert 8 megabytes to gigabytes, we divide 8 by 1,024:
8 MB / 1,024 = 0.0078125 GB
So, 8 megabytes is approximately 0.0078125 gigabytes, not 213 gigabytes.
Statement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.
This statement is true.
To convert a binary number to decimal, we need to understand the place value system in binary. Each digit in a binary number represents a power of 2, starting from the rightmost digit as 2^0, then increasing by a power of 2 for each subsequent digit.
In the given binary number (11101.101)2, the digits to the left of the decimal point represent powers of 2 in increasing order from right to left, while the digits to the right of the decimal point represent negative powers of 2 in decreasing order from left to right.
Calculating the decimal equivalent:
(1 * 2^4) + (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (1 * 2^0) + (1 * 2^-1) + (0 * 2^-2) + (1 * 2^-3)
= (16) + (8) + (4) + (0) + (1) + (0.5) + (0) + (0.125)
= 29.625
Therefore, the decimal equivalent of the binary number (11101.101)2 is indeed (29.625)10.
In conclusion, Statement I is false, but Statement II is true.
This statement is false.
The conversion between megabytes (MB) and gigabytes (GB) involves multiplying or dividing by 1,024. In other words, 1 gigabyte is equal to 1,024 megabytes. Therefore, to convert 8 megabytes to gigabytes, we divide 8 by 1,024:
8 MB / 1,024 = 0.0078125 GB
So, 8 megabytes is approximately 0.0078125 gigabytes, not 213 gigabytes.
Statement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.
This statement is true.
To convert a binary number to decimal, we need to understand the place value system in binary. Each digit in a binary number represents a power of 2, starting from the rightmost digit as 2^0, then increasing by a power of 2 for each subsequent digit.
In the given binary number (11101.101)2, the digits to the left of the decimal point represent powers of 2 in increasing order from right to left, while the digits to the right of the decimal point represent negative powers of 2 in decreasing order from left to right.
Calculating the decimal equivalent:
(1 * 2^4) + (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (1 * 2^0) + (1 * 2^-1) + (0 * 2^-2) + (1 * 2^-3)
= (16) + (8) + (4) + (0) + (1) + (0.5) + (0) + (0.125)
= 29.625
Therefore, the decimal equivalent of the binary number (11101.101)2 is indeed (29.625)10.
In conclusion, Statement I is false, but Statement II is true.
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Given below are two statements:Statement I: 8 megabytes = 213 gigabytesStatement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.In the 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 'D'. Can you explain this answer?
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Given below are two statements:Statement I: 8 megabytes = 213 gigabytesStatement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.In the 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 'D'. 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: 8 megabytes = 213 gigabytesStatement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.In the 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 'D'. 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: 8 megabytes = 213 gigabytesStatement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.In the 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 'D'. Can you explain this answer?.
Given below are two statements:Statement I: 8 megabytes = 213 gigabytesStatement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.In the 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 'D'. 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: 8 megabytes = 213 gigabytesStatement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.In the 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 'D'. 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: 8 megabytes = 213 gigabytesStatement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.In the 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 'D'. Can you explain this answer?.
Solutions for Given below are two statements:Statement I: 8 megabytes = 213 gigabytesStatement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.In the 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 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Humanities/Arts.
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ample number of questions to practice Given below are two statements:Statement I: 8 megabytes = 213 gigabytesStatement II: The decimal equivalent of the binary number (11101.101)2 is (29.625)10.In the 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 'D'. Can you explain this answer? tests, examples and also practice Humanities/Arts tests.
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