# I need to convert 11001011 into decimal form for a project. How do I do it?

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Expert Answers

justaguide | Certified Educator

In a decimal number each digit is a power of 10, for example in 123 is equal to 1*10^0 + 2*10^1 + 3*10^2. For binary numbers the base is 2 instead of 10.

So 11001011 = 1*2^0 + 1*2^1 + 0*2^2 + 1*2^3 + 0*2^4 + 0*2^5 + 1*2^6 + 1*2^7

=> 1*2^0 + 1*2 + 0*4 + 1*8 + 0*16 + 0*32 + 1*64 + 1*128

=> 1 + 2 + 8 + 64 + 128

=> 203

**11001011 in decimal base is equal to 203.**

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