Question

Convert to decimal:
a. 10010011
b. 11010.11001

Answer 1

To convert binary numbers to decimal numbers, use the place value system. The decimal equivalent of the binary number 10010011 is 147. The decimal equivalent of the binary number 11010.11001 is 26.28125.

Step-by-step explanation:

To convert binary numbers to decimal numbers, you can use the place value system. In binary, each digit represents a power of 2, starting from the rightmost digit. For example, the binary number 10010011 can be written as:

1. 1 * 27 + 0 * 26 + 0 * 25 + 1 * 24 + 0 * 23 + 0 * 22 + 1 * 21 + 1 * 20
2. = 128 + 0 + 0 + 16 + 0 + 0 + 2 + 1
3. = 147

The decimal equivalent of the binary number 10010011 is 147.

The binary number 11010.11001 can be written as:

1. 1 * 24 + 1 * 23 + 0 * 22 + 1 * 21 + 0 * 20 + 1 * 2-1 + 1 * 2-2 + 0 * 2-3 + 0 * 2-4 + 1 * 2-5
2. = 16 + 8 + 0 + 2 + 0 + 0.5 + 0.25 + 0 + 0 + 0.03125
3. = 26.28125

The decimal equivalent of the binary number 11010.11001 is 26.28125.