HEX TO DECIMAL TO OCTAL TO BINARY

 

0hex

=

0dec

=

0oct

0

0

0

0

1hex

=

1dec

=

1oct

0

0

0

1

2hex

=

2dec

=

2oct

0

0

1

0

3hex

=

3dec

=

3oct

0

0

1

1

4hex

=

4dec

=

4oct

0

1

0

0

5hex

=

5dec

=

5oct

0

1

0

1

6hex

=

6dec

=

6oct

0

1

1

0

7hex

=

7dec

=

7oct

0

1

1

1

8hex

=

8dec

=

10oct

1

0

0

0

9hex

=

9dec

=

11oct

1

0

0

1

Ahex

=

10dec

=

12oct

1

0

1

0

Bhex

=

11dec

=

13oct

1

0

1

1

Chex

=

12dec

=

14oct

1

1

0

0

Dhex

=

13dec

=

15oct

1

1

0

1

Ehex

=

14dec

=

16oct

1

1

1

0

Fhex

=

15dec

=

17oct

1

1

1

1

 

The hexadecimal term 2AF316 is equal to a sum of (200016 + A0016 + F016 + 316).

By decomposing the numeral into a series of place value terms -- converting each term to decimal -- one can further write:

(2 × 163) + (A × 162) + (F × 161) + (3 × 160),

(2 × 4096) + (10 × 256) + (15 × 16) + (3 × 1), or 10995 in decimal format

The octal term 112 is equal to the sum of (1008 + 108 + 28) which leads us to

(1 x 82) + (1 x 81) + (2 x 80),

(1 x 64) + (1 x 8) + (2 x 1), or 74 in decimal format.