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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 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

Solution:

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). 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. 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 = 00 + 1 = 11 + 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.

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