Binary Code Conversion: What's the Decimal Value?
Binary code is a system of representing numbers that uses only two symbols, 0 and 1. Each digit in a binary number is called a bit, and the positions of the digits determine their value. To convert binary code to decimal, you need to follow these steps:
1. Understanding Binary to Decimal Conversion:
In binary code, each digit represents a power of 2. Starting from the rightmost digit, the powers of 2 increase by 1 as you move to the left.
2. Calculation Process:
1. Assign each binary digit a position value, starting from 0 on the right.
2. Multiply each binary digit by 2 raised to the power of its position value.
3. Add the results of these calculations together to get the decimal equivalent.
Example:Binary code: 0000-1001
Calculations:
1 * 2^0 = 1
0 * 2^1 = 0
0 * 2^2 = 0
0 * 2^3 = 0
1 * 2^4 = 16
Adding these values: 1 + 0 + 0 + 0 + 16 = 17
3. Final Result:
The decimal integer value for the binary code 0000-1001 is 17.
Now that you understand the process, try converting other binary codes to decimal for practice!