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Digital Logic20785 marksNumerical: Number system conversionFractional number conversions

Convert (1011.110) into decimal. and hexadecimal

Convert (1011.110) into decimal. and hexadecimal [5]

  • Binary number: $(1011.110)2$ - Integer part: $1011$ - Fractional part: $.110$ --- Multiply each bit by its positional weight (power of 2) and sum. $$1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 8 + 0 + 2 + 1 = 11$$ $$1 \times 2^{-1} + 1 \times 2^{-2} + 0 \times 2^{-3} = 0.5 + 0.2...
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