**Category : **10th Class

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

*play_arrow*Decimal Number System*play_arrow*Binary Number System*play_arrow*Decimal to Binary Conversion*play_arrow*Hexadecimal Number System*play_arrow*Octal Number System*play_arrow*Binary Addition

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