## Binary to Decimal Converter Online Free

▪ Convert any Binary Number to Decimal Number
▪ Put Valid Binary value or number, then click on the “Convert” button

## How to Convert Binary to Decimal Number System

For binary numbers with n digits:

dn-1 … d3 d2 d1 d0

The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):

decimal = d0×20 + d1×21 + d2×22 + …

#### Example

Find the decimal value of 1110012:

1110012 = 1⋅25+1⋅24+1⋅23+0⋅22+0⋅21+1⋅20 = 5710

```Tips for Students

▪ At first understanding the process of converting a Binary number into a Decimal  Number.
▪ Then choose any Binary Number of you want to convert
▪ Now, Convert the Binary number by using the formula by yourself
▪ Then Check the Answer by using this "Binary to Decimal Converter" tool.```

## Binary to Decimal Conversion Questions with Solutions

Q1. What is the binary number for decimal number 9? [UGC NET 25 Sep 2020 Shift 1]
A. 1100
B. 1001
C. 0111
D. 1011

Solution-
[Step 1] Divide 9 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

[Step 2] Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

[Step 3] Repeat Step 2 above until the Whole part is 0.

[Step 4] Write down the Remainders in reverse order to get the answer to 9 as a binary.

Q2. What will be the decimal equivalent for the binary number 1101110?
A. 121
B. 102
C. 115
D. 110

Solution-
▪ Given binary number = (1101110)2

▪ Calculation: (1101110)2 = (1 × 26 + 1 × 25 + 0 × 24 + 1 × 23 + 1 × 22 + 1 × 21 + 0 × 20)10

▪ (64 + 32 + 8 + 4 + 2)10 ⇒ (110)10

▪ So, the decimal equivalent of the binary number (1101110)2 is (110)10. 