Question

convert 11011011 into decimal with steps in copy​

Answer 1

Answer:

(11011011)2 = (219)10

Explanation:

Step by step solution

Step 1: Write down the binary number:

11011011

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x27 + 1x26 + 0x25 + 1x24 + 1x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x128 + 1x64 + 0x32 + 1x16 + 1x8 + 0x4 + 1x2 + 1x1 = 128 + 64 + 0 + 16 + 8 + 0 + 2 + 1

Step 4: Add up the numbers written above:

128 + 64 + 0 + 16 + 8 + 0 + 2 + 1 = 219.

So, 219 is the decimal equivalent of the binary number 11011011