Question

convert the following binary number to decimal number
10101110
Please answer me in full solution​

Answer 1

$answer \:$

10101110)2 = (174)10

Step by step solution

Step 1: Write down the binary number:

10101110

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

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

Step 3: Solve the powers:

1x128 + 0x64 + 1x32 + 0x16 + 1x8 + 1x4 + 1x2 + 0x1 = 128 + 0 + 32 + 0 + 8 + 4 + 2 + 0

Step 4: Add up the numbers written above:

128 + 0 + 32 + 0 + 8 + 4 + 2 + 0 = 174.

So, 174 is the decimal equivalent of the binary number 10101110.

Answer 2

Answer:

Step 1: Write down the binary number:

10101110

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

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

Step 3: Solve the powers:

1x128 + 0x64 + 1x32 + 0x16 + 1x8 + 1x4 + 1x2 + 0x1 = 128 + 0 + 32 + 0 + 8 + 4 + 2 + 0

Step 4: Add up the numbers written above:

128 + 0 + 32 + 0 + 8 + 4 + 2 + 0 = 174.

So, 174 is the decimal equivalent of the binary number 10101110.

Explanation:

hope it helps you