Binary Number System
Category : 10th Class
Binary Number System
A number system with a base-2 is known as binary number system. The whole binary number system depends on two digits these are 0 and 1, respectively. By using these two digits the numbers in binary number system are written. Thus the place value of a digit in a number increases in the power of 2 from right to left. The following example shows how to convert binary number 1010101 to decimal number:
| Power of 2 6 5 4 3 2 1 0 |
| Binary number 1 0 1 0 1 0 1 |
The place value of 1 is: \[1*{{2}^{0}}=1\]
The place value of 0 is: \[0*{{2}^{1}}=0\]
The place value of 1 is: \[1*{{2}^{2}}=4\]
The place value of 0 is: \[0*{{2}^{3}}=0\]
The place value of 1 is: \[1*{{2}^{4}}=16\]
The place value of 0 is: \[0*{{2}^{5}}=0\]
The place value of 1 is: \[1*{{2}^{6}}=64\]
The decimal number = 1 + 4 + 16 + 64 = 85
You need to login to perform this action.
You will be redirected in
3 sec
