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The two 1s in binary number ‘0100010’ do not have the same value. Explain why?

User Tom Wuttke
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1 Answer

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Answer:

The first 1 on the left is 32 and the 1 on the right is 2. Hence this 8 digits binary number represents 32 + 2 which is the decimal number 34

Step-by-step explanation:

each 1 represents the number 2 powered by a different number, so starting at the further right, the first number with value 0 is representing 2^0 , the next on the left which is value 1 is representing 2^1 which is 2 and so on. So the other 1 further on the left will be 2^5 which is 32.

Every other digit that is zero is not taking any value, but if they were, they would all be taking values from 2^0 to 2^7 Take a look below:

0 0 1 0 0 0 1 0

32 2

User Bfabry
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