Question

Given binary number (1000100)2 can be converted to the decimal number.​

Answer 1

Answer:

Step by step solution

Step 1: Write down the binary number:

1000100

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

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

Step 3: Solve the powers:

1x64 + 0x32 + 0x16 + 0x8 + 1x4 + 0x2 + 0x1 = 64 + 0 + 0 + 0 + 4 + 0 + 0

Step 4: Add up the numbers written above:

64 + 0 + 0 + 0 + 4 + 0 + 0 = 68.

So, 68 is the decimal equivalent of the binary number 1000100.

Explanation: