Convert (101011.11)base2 to it decimal equivalent
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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!
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!
siddhartharao77:
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