Which of the following statement is NOT correct?a)Hexadecimal number u...
C) The 1s place in a hexadecimal number represents the least significant digit.
Which of the following statement is NOT correct?a)Hexadecimal number u...
Hexadecimal Number System:
- It has a base of 16. Hence, it uses sixteen distinct counting digits 0 through 9 and A through F
- Place value (or weight) for each digit is in ascending powers of 16 for integers and descending powers of 16 for fractions.
- The chief use of this system is in connection with byte-organized machines.
- It is used for specifying addresses of different binary numbers stored in computer memory.
Complement of a Number: In digital work, two types of complements of a binary number are used for complemental sub-traction:
1’s complement:
- The 1’s complement of a binary number is obtained by changing each 0 into a 1 and each 1 into a 0.
- It is also called radix-minus-one complement.
- For example, 1’s complement of 1002 is 0112, and 0112 is 00012.
2’s complement:
- The 2’s complement of a binary number is obtained by adding 1 to its 1’s complement.
- 2’s complement = 1’s complement + 1
- It is also known as a true complement.
Octal Number System:
- It has a base of 8 which means that it has eight distinct counting digits: 0, 1, 2, 3, 4, 5, 6, and 7
- These digits 0 through 7, have precisely the same physical meaning as in the decimal system.
- For counting beyond 7, 2-digit combinations are formed taking the second digit followed by the first, then the second followed by the second, and so on.
- Hence, after 7, the next octal number is 10 (second digit followed by first), then 11 (second digit followed by second), and so on.
Excess-3 Code:
- It is an unweighted code and is a modified form of BCD.
- It is widely used to represent numerical data in digital equipment.
- It is abbreviated as XS-3. As its name implies, each coded number in XS-3 is three larger than in the BCD code.