# Number Systems – Notes – 1

1. The binary number system (0 and 1) is the basic system used in digital technology.

2. The hexadecimal number system is used in digital systems and computers as an efficient way of representing binary quantities.

3. In conversions between hex and binary, each hex digit corresponds to four bits.

4. The repeated-division method is used to convert decimal numbers to binary or hexadecimal.

5. Using an N-bit binary number, we can represent decimal values from 0 to 2N-1.

6. The BCD code for a decimal number is formed by converting each digit of the decimal number to its four-bit binary equivalent.

7. The Gray code defines a sequence of bit patterns in which only one bit changes between successive patterns in the sequence.

8. A byte is a string of eight bits. A nibble is four bits. The word size depends on the system.

9. An alphanumeric code is one that uses groups of bits to represent all of the various characters and functions that are part of a typical computer’s keyboard. The ASCII code is the most widely used alphanumeric code.

10. The parity method for error detection attaches a special parity bit to each transmitted group of bits.

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