Binary to Decimal Converter
Binary ⇄ Decimal Conversion with Steps
Input Data :
Binary Value = 1010
Obejective :
Convert Binary value to Decimal
Solution with Steps :
`1010_2 = (1 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (0 \times 2^0)`
`1010_2 = 8 + 0 + 2 + 0`
`1010_2 = 10_10`
Binary - Decimal Converter, step by step conversion, solved examples and easy to remember methods to learn, practice and verify binary to decimal and decimal to binary conversions. In digital circuits, the arithmetic operations processed in the form of binary instructions. Therefore, the decimal to binary conversion is more important in digital electronics & communications to understand the operation more human friendly. To perform such conversions by using this converter, select appropriate choice, supply the input and hit on the calculate button.
| Decimal Binary Conversion Chart | |
|---|---|
| Decimal | Binary |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 8 | 1000 |
| 9 | 1001 |
| 10 | 1010 |
| 11 | 1011 |
| 12 | 1100 |
| 13 | 1101 |
| 14 | 1110 |
| 15 | 1111 |
| 16 | 10000 |
| 1 Million | 11110100001001000000 |
| 10 Million | 100110001001011010000000 |
| 1 Billion | 111011100110101100101000000000 |
| 1 Trillion | 1110100011010100101001010001000000000000 |
Example for Binary to Decimal Conversion
Binary to decimal conversion is one of a most important operations used in digital electronics and communications. This conversion is used to observe the value of binary numbers in its equivalent decimal number. Representing binary in decimal number system is the best way to easily understand such operations.
Solved Example :
The below solved example may useful to learn how to perform binary to decimal conversion.
Problem
Find the equivalent decimal number for the binary 10102.
Solution :
Example for Decimal to Binary Conversion
Decimal to binary conversion is one of a most important operations used in digital electronics and communications to analyze and design various electronics circuits. The MOD-2 operation is used for this conversion to find the equivalent binary number for decimal values.
Solved Example :
The below solved example may useful to learn how to perform decimal to binary conversion.
Problem
Find the equivalent binary number for the decimal 6810.
Solution :
