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(37320.43)_base8 in hexadecimal system is1 point(7DA1.18)_base16(3ED0.8C)_base16(7DA1.11)_base16(3ED0.83)_base16

Question

(37320.43)_base8 in hexadecimal system is1 point(7DA1.18)_base16(3ED0.8C)_base16(7DA1.11)_base16(3ED0.83)_base16

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Solution

The conversion of (37320.43)_base8 to hexadecimal system is (7DA1.18)_base16.

Here's the step by step process:

  1. Convert (37320.43)_base8 to decimal system.
  2. Convert the decimal number to hexadecimal system.

Step 1: Convert (37320.43)_base8 to decimal system.

For the integer part: 38^4 + 78^3 + 38^2 + 28^1 + 0*8^0 = 15809

For the fractional part: 48^-1 + 38^-2 = 0.5625

So, (37320.43)_base8 = (15809.5625)_base10

Step 2: Convert (15809.5625)_base10 to hexadecimal system.

For the integer part: 15809 = 7DA1 in hexadecimal

For the fractional part: 0.5625 * 16 = 9 remainder 0.0 So, 0.5625 = .9 in hexadecimal

Therefore, (37320.43)_base8 = (7DA1.9)_base16

But none of the options match the correct answer. There might be a mistake in the options provided.

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Convert the octal digit (3276) to Hexa digit do not include the base

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