# hex to dec

Netty poestel

Ranch Hand

Posts: 131

posted 12 years ago

int k = 0x12 ;

is 1 time 16, and left over 2 = 18

similiarly 0x42,

4 times 16 and leftover of 2 = 66

how does one take the same algorithm for say[0x892]

8 times 16 and leftover 92 does not work

89 times 16 and leftover 2 does not work

and neither does 892 times 16.

so what's the catch here ?

TIA

is 1 time 16, and left over 2 = 18

similiarly 0x42,

4 times 16 and leftover of 2 = 66

how does one take the same algorithm for say[0x892]

8 times 16 and leftover 92 does not work

89 times 16 and leftover 2 does not work

and neither does 892 times 16.

so what's the catch here ?

TIA

posted 12 years ago

what does 892 mean in decimal? it does it mean 8*10 plus 9*10 with 2 left over?

no. each position represents a POWER of (in decimal) 10...

10^0 = 1

10^1 = 10

10^2 = 100

8*100 + 9*10 + 2*1

Hex works the exact same way, except with a base of 16, not 10.

so, you need to know the powers of 16...

16^0 = 1

16^1 = 16

16^2 = 256

so 0x892 means 8*256 + 9*16 + 2*1

[ October 02, 2004: Message edited by: fred rosenberger ]

no. each position represents a POWER of (in decimal) 10...

10^0 = 1

10^1 = 10

10^2 = 100

8*100 + 9*10 + 2*1

Hex works the exact same way, except with a base of 16, not 10.

so, you need to know the powers of 16...

16^0 = 1

16^1 = 16

16^2 = 256

so 0x892 means 8*256 + 9*16 + 2*1

[ October 02, 2004: Message edited by: fred rosenberger ]

There are only two hard things in computer science: cache invalidation, naming things, and off-by-one errors

Kosh Shah

Greenhorn

Posts: 19

posted 12 years ago

As an example,

If you have a hexadecimal value: 0x1234

Its decimal equivalent is: (starting from the right side, or the Least Significant Bit - LSB)

4*(16^0) + 3*(16^1) + 2*(16^2) + 1*(16^3)

= 4*1 + 3*16 + 2*256 + 1*4096

= 4 + 48 + 512 + 4096

= 4660

Hope this helps!

Cheers,

Kosh!

If you have a hexadecimal value: 0x1234

Its decimal equivalent is: (starting from the right side, or the Least Significant Bit - LSB)

4*(16^0) + 3*(16^1) + 2*(16^2) + 1*(16^3)

= 4*1 + 3*16 + 2*256 + 1*4096

= 4 + 48 + 512 + 4096

= 4660

Hope this helps!

Cheers,

Kosh!