binary number system
- Binary numbers system
- The number system with base 2 is known as binary number system.
- Two symbols/digit are used in it 0 and 1, which we called bits.
- Binary number system is positional number system, i.e. every position in a number has assigned some weight.
- Group of four bits is known as nibble and group of 8 bits is known as byte.
Binary numbers are shown below,
2-bit binary number representation :
binary numbers | decimal equivalent |
0 0 | 0 0 |
0 1 | 0 1 |
1 0 | 0 2 |
1 1 | 0 3 |
3- bit binary number representation
binary numbers | decimal equivalent |
0 0 0 | 0 0 |
0 0 1 | 0 1 |
0 1 0 | 0 2 |
0 1 1 | 0 3 |
1 0 0 | 0 4 |
1 0 1 | 0 5 |
1 1 0 | 0 6 |
1 1 1 | 0 7 |
4-bit binary number representation
binary numbers | decimal equivalent |
0 0 0 0 | 0 0 |
0 0 0 1 | 0 1 |
0 0 1 0 | 0 2 |
0 0 1 1 | 0 3 |
0 1 0 0 | 0 4 |
0 1 0 1 | 0 5 |
0 1 1 0 | 0 6 |
0 1 1 1 | 0 7 |
1 0 0 0 | 0 8 |
1 0 0 1 | 0 9 |
1 0 1 0 | 1 0 |
1 0 1 1 | 1 1 |
1 1 0 0 | 1 2 |
1 1 0 1 | 1 3 |
1 1 1 0 | 1 4 |
1 1 1 1 | 1 5 |
- Left most bit is known as Most Significant Bit (MSB) and right most is Least significant bit(LSB).
- In any number, zero can be added to left most side of the number ,which does not effects it value.
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