Using base conversion method, 2FA.C8 base 16 can be expressed as:
- 1372.628 in octal
- 11022.3423120034 in pental
- 1011111010.11001 in binary
<h3>What is 2FA.C8 base 16 expressed in Octal form?</h3>
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
<h3>What is 2FA.C8 base 16 expressed in pental form?</h3>
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.
<h3>What is 2FA.C8 base 16 expressed in Binary form?</h3>
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: brainly.com/question/17946394
