Digital Logic · Boolean algebra and combinational logic
The unsigned binary quantity N=1101011.1011_2 is given
Problem
The unsigned binary quantity \(N=1101011.1011_{2}\) is given. Convert \(N\) to decimal without rounding. Convert the same bit string to octal and to hexadecimal by grouping bits about the binary point, padding with zeros only as needed at the far left of the integer field and at the far right of the fraction field. State the octal and hexadecimal results with the radix point in the correct position.
Hint
Each bit is a power of two whose exponent is its distance from the binary point; octal and hex are just 3-bit and 4-bit regroupings of the same bits.
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