Computer Science, asked by faizkhan66300, 10 months ago

(74.36)base 8 +(177.6)base 8​

Answers

Answered by Ggurujihi
0

Answer:

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Explanation:

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Answered by codiepienagoya
1

The sum of octal number is (274.16)base.

Explanation:

\ Given \ value:\\\\(74.36)_8+ (177.6)_8\\\\\ Find:\\\\sum=?\\\\\ Solution:

  • first we change the given octal value into decimal point.
  • To change value into decimal we square and multiply 8.

         (74.36)_8 = 7 \times 8^1 +4 \times 8^0 + 3 \times 8^{-1}+6 \times 8^{-2}\\\\\rightarrow 7 \times 8+4 \times 1 + 3 \times \frac{1}{8}+6 \times \frac{1}{64}\\\\\rightarrow 56+4+ \frac{3}{8}+ \frac{6}{64}\\\\\rightarrow 56+4+0.375+ 0.09375\\\\\rightarrow 60.46875\\\\

            (177.6)_8 = 1 \times 8^{2}+7 \times 8^1 +7\times 8^0 + 6\times 8^{-1}\\\\\rightarrow 1 \times 64+7 \times 8+7\times 1 + 6\times \frac{1}{8}\\\\\rightarrow  64+ 56+7 + \frac{6}{8}\\\\\rightarrow  64+ 56+7 + 0.75\\\\\rightarrow  127.75\\\\

  • add both values:

        \ 60.46875 \ +\ 127.75 \\\\\ (188.21875)_{10} \\\\

  • Convert convert (188.21875)_{10}  to octal: This conversion can be perform in two parts, in which integer part it is divide by 8 and takes its remainder  value and writes its value from bottom to top, and in decimal part it will multiply by 8 and write its integer  parts.
  • 0.21875 \times 8 = 1.75 = 1\\0.75 \times 8 = 6.0 =6\\0.0 \times 8 =0.0 \\\\So, \ the \ converted \ value \ is \ (274.16)_8\\

Learn more:

  • decimal to octal: https://brainly.in/question/14447571
  • octal to decimal: https://brainly.in/question/10414933

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