Question

what will be the decimal equivalent of the number 10001000

Answer 1

Hey Mate ☺

Here is your solution :-

__________________________


(10001000) = (136)^10

________


Write down the binary number -

10001000

Now, multiply each digit of the binary number by the corresponding power of two:

1x2^7 + 0x2^6 + 0x2^5 + 0x2^4 + 1x2^3 + 0x2^2 + 0x2^1 + 0x2^0

Solve the powers -:

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

Add up the numbers written above -:

128 + 0 + 0 + 0 + 8 + 0 + 0 + 0 = 136. This is the decimal equivalent of the binary number 10001000.


___________________________

Hope it helps ☺