Question

Convert to decimal:
a. 10010011
b. 11010.11001

Answer 1

To convert binary numbers to decimal, multiply each digit by its corresponding power of 2 and add them together. The binary numbers 10010011 and 11010.11001 are equal to 147 and 26.75 in decimal form, respectively.

Step-by-step explanation:

To convert a binary number to decimal, we need to multiply each digit by its corresponding power of 2 and add them together. Let's convert the given numbers:

a. 10010011:

1 x 2^7 + 0 x 2^6 + 0 x 2^5 + 1 x 2^4 + 0 x 2^3 + 0 x 2^2 + 1 x 2^1 + 1 x 2^0 = 128 + 16 + 2 + 1 = 147

b. 11010.11001:

1 x 2^4 + 1 x 2^3 + 0 x 2^2 + 1 x 2^1 + 0 x 2^0 + 1 x 2^-1 + 1 x 2^-2 + 0 x 2^-3 + 0 x 2^-4 + 1 x 2^-5 = 16 + 8 + 2 + 0.5 + 0.25 = 26.75