### How to convert binary number to decimal number?

**Step 1:** Start from right most bit.

**Step 2:** Multiply the right most bit with 2 and 2 is assigned with poswer 0. e.g; 2^{0}

**Step 3:** Now move to left bits one by one. Value of power is incremented on after each one bit.

### Example 1:

Convert the 110101 into its equivalent decimal number system.

**Solution:**

110101_{2} = (1*2^{5})+(1*2^{4})+(0*2^{3})+(1*2^{2})+(0*2^{1})+(1*2^{0})

= | 32 + 16 + 0 + 4 + 0 + 1 |

= 53

### Example 2:

Convert the 110101 into its equivalent decimal number system.

**Solution:**

110011_{2} = (1*2^{5})+(1*2^{4})+(0*2^{3})+(0*2^{2})+(1*2^{1})+(1*2^{0})

= | 32 + 16 + 0 + 0 + 2 + 1 |

= 51