Question

Convert the following binary number into decimall form.
0,10,100,1001,1111,1101101

Answer 1

0 = 0
10 = 2
100 = 4
1001 = 9
1111 = 15
1101101=109

Answer 2

A 5 digit number abcde in a number system with base n is converted into our decimal number system as follows:
      ( for binary system, the base or root is 2. )

$(a b c d e)_2= (a* 2^4 + b * 2^3 + c * 2^2 + d * 2^1 + e)_{10}\\ \\0_2 = 0 * 2^0 = 0_{10}\\ \\10_{2} = 1* 2^1 + 0 = 2_{10}\\ \\100_2 = 1*2^2+0*2^1+0=4_{10}\\ \\1001_2=1*2^3+1*2^0=9_{10}\\ \\1111_2=2^3+2^2+2^1+2^0 = 15_{10}\\ \\1101101_2=2^6+2^5+2^3+2^2+2^0=109_{10}$