Question

convert (11110)2to (?)10

Answer 1

Step 1: Write down the binary number:  

11110  

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

1x2 ^4 + 1x2 ^3 + 1x2 ^ 2 + 1x2 ^1  + 0x2 ^0

Step 3: Solve the powers:  

1x16 + 1x8 + 1x4 + 1x2 + 0x1 = 16 + 8 + 4 + 2 + 0  

Step 4: Add up the numbers written above:

16 + 8 + 4 + 2 + 0 = 30. This is the decimal equivalent of the binary number 11110.