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Given below are two statements
Statement I: The base of the binary number system is 2.
Statement II: Binary addition is just like decimal addition except that the rules are much simpler.
In light of the above statements, choose the correct answer from the options given below
Statement I: The base of the binary number system is 2.
Statement II: Binary addition is just like decimal addition except that the rules are much simpler.
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 'A'. Can you explain this answer?
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Most Upvoted Answer
Given below are two statementsStatement I: The base of the binary numb...
Statement I: The base of the binary number system is 2.
The base of a number system refers to the number of unique digits or symbols used to represent values. In the binary number system, the base is indeed 2. This means that there are only two possible digits or symbols in the binary system, which are 0 and 1. Every value in the binary system is represented using combinations of these two digits. For example, the binary number 1010 represents the decimal number 10.
Statement II: Binary addition is just like decimal addition except that the rules are much simpler.
Binary addition follows similar principles to decimal addition, but the rules are indeed simpler. In decimal addition, there are four possible combinations for adding two digits: 0+0, 0+1, 1+0, and 1+1. Each combination has a specific sum and carry value. However, in binary addition, there are only two possible combinations: 0+0 and 1+1. The sum of 0+0 is 0, and the sum of 1+1 is 10 (which is equivalent to 0 in the current column and carries over a 1 to the next column).
The simplicity of binary addition can be attributed to the fact that there are only two digits involved. The carry value is only necessary when adding two 1s, as it represents the "carry over" to the next column. This makes binary addition easier to understand and perform compared to decimal addition.
Therefore, both Statement I and Statement II are true. The base of the binary number system is indeed 2, and binary addition is simpler than decimal addition due to the limited number of digits involved.
The base of a number system refers to the number of unique digits or symbols used to represent values. In the binary number system, the base is indeed 2. This means that there are only two possible digits or symbols in the binary system, which are 0 and 1. Every value in the binary system is represented using combinations of these two digits. For example, the binary number 1010 represents the decimal number 10.
Statement II: Binary addition is just like decimal addition except that the rules are much simpler.
Binary addition follows similar principles to decimal addition, but the rules are indeed simpler. In decimal addition, there are four possible combinations for adding two digits: 0+0, 0+1, 1+0, and 1+1. Each combination has a specific sum and carry value. However, in binary addition, there are only two possible combinations: 0+0 and 1+1. The sum of 0+0 is 0, and the sum of 1+1 is 10 (which is equivalent to 0 in the current column and carries over a 1 to the next column).
The simplicity of binary addition can be attributed to the fact that there are only two digits involved. The carry value is only necessary when adding two 1s, as it represents the "carry over" to the next column. This makes binary addition easier to understand and perform compared to decimal addition.
Therefore, both Statement I and Statement II are true. The base of the binary number system is indeed 2, and binary addition is simpler than decimal addition due to the limited number of digits involved.
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Given below are two statementsStatement I: The base of the binary numb...
A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression that uses only two symbols: typically "0" (zero) and "1" (one).
Key Points
Statement I: The base of the binary number system is 2.
Explanation:
Key Points
Statement I: The base of the binary number system is 2.
Explanation:
- Binary is a number system comprised of two digits, 0 and 1, used by computers to represent all other numbers and characters.
- So, Binary is also known as base 2.
- Binary is a base-2 number system invented by Gottfried Leibniz that's made up of only two numbers or digits: 0 (zero) and 1 (one).
- This numbering system is the basis for all binary code, which is used to write digital data such as the computer processor instructions used every day.
So, we can say that statement I is true.
Statement II: Binary addition is just like decimal addition except that the rules are much simpler.
Statement II: Binary addition is just like decimal addition except that the rules are much simpler.
Explanation:
- Binary addition is one of the binary operations.
- The binary addition operation works similarly to the base 10 decimal system, except that it is a base 2 system.
- There are 3 basic rules for adding binary numbers:
- 0 + 0 = 0
- 0 + 1 = 1
- 1 + 1 = 10. If the sum of 2 bits is greater than 1, we need to shift a column on the left.
- In decimal system, 1 + 1 = 2. Binary notation of 2 is 10 (1 * 2^1 + 0 * 2^0). So we keep 0 in the 1's column and shift (carry over) 1 to the 2's column.
So, we can say that Statement II is also correct.
Therefore, both Statement I and Statement II are true.
Therefore, both Statement I and Statement II are true.
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Given below are two statementsStatement I: The base of the binary number system is 2.Statement II: Binary addition is just like decimal addition except that the rules are much simpler.In light of the above statements, choose the correct answer from the options given belowa)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 'A'. Can you explain this answer?
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