Question 7.6: Converting Binary Numbers to Octal or Hexadecimal Convert 11...

Electrical Engineering: Principles and Applications

Converting Binary Numbers to Octal or Hexadecimal
Convert 11110110.1₂ to octal and to hexadecimal.

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For conversion to octal, we first form three-bit groups, working outward from the binary point:

11110110.1₂= 011 110 110. 100

Notice that we have appended leading and trailing zeros so that each group contains three bits. Next, we write the octal digit for each group. Thus, we have

11110110.1₂ = 011 110 110. 100 = 366.4₈

For conversion to hexadecimal, we form four-bit groups appending leading and trailing zeros as needed. Then, we convert each group to its equivalent hexadecimal integer, yielding

11110110.1₂ = 1111 0110. 1000 = F6.8₁₆

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