Question/ Answer:-
1. What are the rules to convert a decimal number into a binary number?
2. What is the binary number system?
3. What do you know about the octal number system?
4. What are the rules for adding two binary numbers?
5. Explain hexadecimal number system.
Answers
Answer:
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Explanation:
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Answer:
1. An easy method of converting decimal to binary number equivalents is to write down the decimal number and to continually divide-by-2 (two) to give a result and a remainder of either a “1” or a “0” until the final result equals zero. So for example.
2. A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit, or binary digit.
3. The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal numerals can be made from binary numerals by grouping consecutive binary digits into groups of three (starting from the right). For example, the binary representation for decimal 74 is 1001010.
4. There are 3 basic rules for adding binary numbers:
There are 3 basic rules for adding binary numbers:0 + 0 = 0.
There are 3 basic rules for adding binary numbers:0 + 0 = 0.0 + 1 = 1.
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.
5. Hexadecimal Number System is one the type of Number Representation techniques, in which there value of base is 16. That means there are only 16 symbols or possible digit values, there are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. It requires only 4 bits to represent value of any digit.
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