Question

Convert (101011.11)base2 to it decimal equivalent

Answer 1

Given Binary Equivalent = (101011.11)

101011.11

= > [1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 1 * 2^0] . [1 * 2^(-1) + 1 * 2^(-2)]

= > 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 1 * 2^0 + 1 * 2^(-1) + 1 * 2^(-2)

= > 1 * 32 + 0 + 8 + 2 + 1 +  (1/2) + (1/4)

= > 32 + 0 + 8 + 2 + 1 + (0.5) + (0.25)

= > 43 + 0.75

= > 43.75.



Therefore the decimal equivalent = (43.75).



Hope this helps!