Converting Binary Numbers to Decimal

Binary Number 1: 110110
- To convert the binary number 110110 to decimal, we need to understand the positional value of each digit in a binary number.
- The positional values of binary digits are powers of 2, starting from the rightmost digit with a value of 2^0, then 2^1, 2^2, and so on.
- Starting from the right, the binary number 110110 can be broken down as follows:
- 0 * 2^0 = 0
- 1 * 2^1 = 2
- 1 * 2^2 = 4
- 0 * 2^3 = 0
- 1 * 2^4 = 16
- 1 * 2^5 = 32
- Adding up these values, we get: 0 + 2 + 4 + 0 + 16 + 32 = 54
- Therefore, the decimal equivalent of the binary number 110110 is 54.

Binary Number 2: 10111
- To convert the binary number 10111 to decimal, we follow the same process as above.
- Breaking down the binary number 10111:
- 1 * 2^0 = 1
- 1 * 2^1 = 2
- 1 * 2^2 = 4
- 0 * 2^3 = 0
- 1 * 2^4 = 16
- Adding up these values, we get: 1 + 2 + 4 + 0 + 16 = 23
- Therefore, the decimal equivalent of the binary number 10111 is 23.
By understanding the positional values of binary digits and applying the conversion process, we can easily convert binary numbers to decimal numbers.