To use this new **Binary to Decimal converter** tool, type any binary integer like 1011 into the binary number field above, and then click the Convert button. You can get the result in Decimal number. It is possible to convert up to 63 binary characters to decimal.

Use **RESET **button to clear the calculator.

**SWAP **button will help you to switch between Binary to Decimal and Decimal to Binary.

**Conversion steps:**

1. Pick the last integer of the binary number, call this digit the **currentDigit**.

2. Consider a variable ‘**power**’. Set the value to 0.

3. Multiply the current digit with 2^power value, store the result.

4. Increment the **pow****er **by 1.

5. Set the the **currentDigit **to the previous digit of the binary number.

6. Follow the step 3 until all digits have been multiplied.

7. Add all the results of step 3 to get the decimal number answer.

For Example:

(111100000001)B = (1 × 2¹¹) + (1 × 2¹⁰) + (1 × 2⁹) + (1 × 2⁸) + (0 × 2⁷)

+ (0 × 2⁶) + (0× 2⁵) + (0 × 2⁴) + (0 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰)

(111100000001)B = (3841) D

Binary is the simplest type of number system that makes use of only two numbers 1 and 0. By using these numbers, arithmetical problems can be solved by machines because in digital instruments, a transistor is used in two states. Those two states can be represented by 0 (False) and 1 (True). That’s why this number system is the most chosen in modern computer engineering, networking and communication technologies by specialists, and other professionals.

Decimal number system also known as Base 10 *numbering *system because it is based on 10 ranging symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. In decimal system, every digit holds its own position along with the decimal point. I.e. the number 326.34 has 4 in the Hundredths position, 3 in the Tenths position, 6 in the Units position, 2 in the Tens position, and 3 in the Hundreds position.

*Decimal number system* is also one of the ancient numeral system, whose roots are in Hindu-Arabic numeral system.

Binary number | Decimal number | Binary signed 2’s complement | Hex number |

0 | 0 | N/A | 0 |

1 | 1 | N/A | 1 |

10 | 2 | N/A | 2 |

11 | 3 | N/A | 3 |

100 | 4 | N/A | 4 |

101 | 5 | N/A | 5 |

110011 | 51 | N/A | 33 |

11001100 | 204 | -52 | CC |

11111111 | 255 | -1 | FF |

11001111 | 207 | -49 | CF |

111100001 | 481 | N/A | 1.00E+01 |

1000011111 | 543 | N/A | 21F |

10101010101 | 1365 | N/A | 555 |