# Hexadecimal numbers to octal numbers

Convert hexadecimal numbers to octal numbers

1. F4

2. ADE

3. 8C1F

Completion:

1. F4

_{(16)}= ?

_{(8)}

** First, convert hexadecimal numbers to decimal numbers. Then, convert decimal numbers to octal numbers.*

hexadecimal to decimal

F4 = 4x16

^{0}+ Fx16

^{1}

F4 = 4x16

^{0}+ 15x16

^{1}

F4 = 4 + 240

F4

_{(16)}= 244

_{(10)}

decimal to octal

244 / 8 = 30, remains 4

30 / 8 = 3, remains 6

3 / 8 = 0, remains 3

244

_{(10)}= 364

_{(8)}

F4 hexadecimal number equal to 364 octal number

F4

_{(16)}= 364

_{(8)}

2. ADE

_{(16)}= ?

_{(8)}

hexadecimal to decimal

ADE = Ex16

^{0}+ Dx16

^{1}+ Ax16

^{2}

ADE = 14x16

^{0}+ 13x16

^{1}+ 10x16

^{2}

ADE = 14 + 208 + 2560

ADE

_{(16)}= 2782

_{(10)}

decimal to octal

2782 / 8 = 347, remains 6

347 / 8 = 43, remains 3

43 / 8 = 5, remains 3

5 / 8 = 0, remains 5

3501

_{(10)}= 5336

_{(8)}

ADE hexadecimal number equal to 5336 octal number

ADE

_{(16)}= 5336

_{(8)}

3. 8C1F

_{(16)}= ?

_{(8)}

hexadecimal to decimal

8C1F = Fx16

^{0}+ 1x16

^{1}+ Cx16

^{2}+ 8x16

^{3}

8C1F = 15x16

^{0}+ 1x16

^{1}+ 12x16

^{2}+ 8x16

^{3}

8C1F = 15 + 16 + 3072 + 32768

8C1F

_{(16)}= 35871

_{(10)}

decimal to octal

35871 / 8 = 4483, remains 7

4483 / 8 = 560, remains 3

560 / 8 = 70, remains 0

70 / 8 = 8, remains 6

8 / 8 = 1, remains 0

1 / 8 = 0, remains 1

605025

_{(10)}= 106037

_{(8)}

8C1F hexadecimal number equal to 106037 octal number

8C1F

_{(16)}= 106037

_{(8)}

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