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.

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!