# converting decimal values to binary coded decimal?

#### forcer

i have to convert decimal values to binary coded decimal

for instance if i have the number 32 converting that to binary would be 00110010

but whats the outcome if i convert 32 to "binary coded decimal"

#### Petros

##### Thief IV
In BCD, each digit of a number is represented by a four-bit binary, e.g. 134 becomes 0001 0011 0100

#### forcer

thats how i was converting to binary. if thats how u convert to BCD how do u convert to "binary" (not bcd)

M

#### mbx

##### Guest
32 in binary is 00100000.

to convert decimal to binary
each byte has 8 bits.
from right to left the bits are 1,2,4,8,16,32,64,128

so 32 (00100000) is made up of
no 128s
no 64s
1 32
no 16s
no 8s
no 4s
no 2
and no 1s

and number like 169 in binary would be
1 128 (1)
no 64 (0)
1 32 (1)
no 16 (0)
1 8 (1)
no 4 (0)
no 2 (0)
1 1 (1)

so reading from the top gives you 10101001 (or 128+32+8+1)

hope that helps

#### Petros

##### Thief IV
Oops sorry...i was a lil confused and thought you wanted BCD...that's what I get for not reading posts. Binary just follows the same 1-2-4-8-16-32-etc. progression, though, it's just that the sky is the limit on how many digits you can have.

#### forcer

many thanx. now i wont fail my assignment..

theres so many binary bcd hexadecimal etc... i got way confused.

thanx agen

#### forcer

ok so if i was converting 41 it would be:

41 – 00101001

1 + 8 + 32 = 41

??????

#### yoyo

##### _________________
And if you want to cheat, start the Windows calculator in scientific view.

N

#### Nitris

##### Guest
Conversion of base 10 to other bases.

Repeatedly divide the base 10 number by the base. Keep track of the remainders and read the remainders top to bottom.

Code:
``````abcd(base 10) = _________(base n)

[IMG]http://otto.normandale.edu/csci1101/conv1.gif[/IMG]

abcd(base 10) = r4 r3 r2 r1 (base n)

1310 = _________(base 2)

[IMG]http://otto.normandale.edu/csci1101/conv2.gif[/IMG]

1310 = 1101(base 2)``````
hope this helps

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