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Guys 11+1 = 100 how this makes sense ? I'm unable to get it.
2 Antworten
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Binary sum, for exanple, 1+1 in base2=10...in base 10 is 1+1=2...so 2 is equal to 10 in base 2.
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It is the same thing that happens in any number system. When you exceed the digits available on one column, that column rolls back to zero and you carry 1 over to the next column.
F+1 = 10 hexadecimal (radix 0-F)
9+1 = 10 decimal (radix 0-9)
7+1 = 10 octal (radix 0-7)
1+1 = 10 binary (radix 0-1)
If adding the carry to the next column also exceeds the digits available then repeat the rollover and carry.
FF+1 = 100 hexadecimal (radix 0-F)
99+1 = 100 decimal (radix 0-9)
77+1 = 100 octal (radix 0-7)
11+1 = 100 binary (radix 0-1)