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Using base conversion method, 2FA.C8 base 16 can be expressed as:

  • 1372.628 in octal
  • 11022.3423120034 in pental
  • 1011111010.11001 in binary

What is 2FA.C8 base 16 expressed in Octal form?

To express 2FA.C8 in octal form, it is first converted to a decimal form as follows:

where:

F = 15

A = 10

C = 12

2FA.C8 = 2 × 16^2 + F × 16^1 + A × 16^0 + C × 16^-1 + 8 × 16^-2

2FA.C8 = 762.7812510 in decimal.

Then, convert 762.7812510 to octal as follows:

  • First the integral part is converted to octal by repeated division by 8.
  • The fractional part is converted to octal by repeated multiplication by 8 until we get to zero (here, we calculate up to ten digits)
  • add the integral and fractional part together

762 / 8 = 95 remainder 2

95 / 8 = 11 remainder 7

11 / 8 = 1 remainder 3

1 / 8 = 0 remainder 1

762 = 1372

Then;

0.78125 × 8 = 6 + 0.25

0.25 × 8 = 2 + 0

0.78125 = 0.62

Therefore, 762.78125 in decimal = 1372.628 in octal

What is 2FA.C8 base 16 expressed in pental form?

To convert 2FA.C8 base 16 to pental form, we use its value in decimal for conversion.

  • 2FA.C8 base 16 = 762.7812510 base 10

Then, convert 762.7812510 to pental as follows:

  • First the integral part is converted to pental by repeated division by 5
  • The fractional part is converted to pental by repeated multiplication by 5 until we get to zero (here, we calculate up to ten digits)
  • add the integral and fractional part together

762 / 5 = 152 remainder 2

152 / 5 = 30 remainder 2

30 / 5 = 6 remainder 0

6 / 5 = 1 remainder 1

1 / 5 = 0 remainder 1

  • 762 in decimal = 11022 in pental

Then 0.78125 to pental:

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

0.53125 × 5 = 2 + 0.65625

0.65625 × 5 = 3 + 0.28125

0.28125 × 5 = 1 + 0.40625

0.40625 × 5 = 2 + 0.03125

0.03125 × 5 = 0 + 0.15625

0.15625 × 5 = 0 + 0.78125

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

Thus, 0.78125 in decimal = 0.3423120034 in pental

Therefore, 762.78125 in decimal = 11022.3423120034 in pental.

What is 2FA.C8 base 16 expressed in Binary form?

To convert 2FA.C8 base 16 to binary form, we use its value in decimal for conversion.

  • 2FA.C8 base 16 = 762.7812510 base 10

Then, convert 762.7812510 to binary as follows:

  • First the integral part is converted to binary by repeated division by 2
  • The fractional part is converted to binary by repeated multiplication by 2 until we get to zero (here, we calculate up to ten digits)
  • add the integral and fractional part together

762 / 2 = 381 remainder 0

381 / 2 = 190 remainder 1

190 / 2 = 95 remainder 0

95 / 2 = 47 remainder 1

47 / 2 = 23 remainder 1

23 / 2 = 11 remainder 1

11 / 2 = 5 remainder 1

5 / 2 = 2 remainder 1

2 / 2 = 1 remainder 0

1 / 2 = 0 remainder 1

  • 762 base 10 = 1011111010 base two

Then 0.78125 to binary:

0.78125 × 2 = 1 + 0.5625

0.5625 × 2 = 1 + 0.125

0.125 × 2 = 0 + 0.25

0.25 × 2 = 0 + 0.5

0.5 × 2 = 1 + 0

0.78125 base 10 = 0.11001 base two

Therefore, 762.78125 base 10 = 1011111010.11001 base two.

Learn more about base conversion at: https://brainly.com/question/17946394

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