Decimal - Binary Conversion

1.Divide the number by 2.
2.Get the integer quotient for the next iteration.
3.Get the remainder for the binary digit.
4.Repeat the steps until the quotient is equal to 0.

Example:
We have the value of 174 and we need to change it in binary.

Division by 2 Quotient Remainder Bit #
174/2 87 0 0
87/2 43 1 1
43/2 21 1 2
21/2 10 1 3
10/2 5 0 4
5/2 2 1 5
2/2 1 0 6
1/2 0 1 7

Bit# 7 6 5 4 3 2 1 0
Binary 1 0 1 0 1 1 1 0

So 174 = 10101110

Admin wrote:

Steps in converting Decimal number to Binary number

1.Divide the number by 2.
2.Get the integer quotient for the next iteration.
3.Get the remainder for the binary digit.
4.Repeat the steps until the quotient is equal to 0.

Example:
We have the value of  174 and we need to change it in binary.

Division by 2 Quotient Remainder Bit #
174/2            87              0                  0
87/2            43       1           1
43/2            21              1                  2
21/2            10       1           3
10/2             5               0           4
5/2                     2                1                 5
2/2                     1         0           6
1/2                     0           1           7

Bit#               7    6     5    4    3   2   1   0
Binary           1    0     1    0    1   1   1   0

So 174 = 10101110

is the solution of converting decimal to binary is the reverse of binary to decimal ?

what is the answer if i divide 345 in 12 in binary?

kashiro925 wrote:what is the answer if i divide  345 in 12 in binary?

345/12 = 28.75


and the equivalent of 28.75 in binary is 11100.11

kashiro925 wrote:what is the answer if i divide  345 in 12 in binary?

345 divided by 12 is equal to 28.75 and i dont know how to convert binary with point or decimal numbers.

Admin wrote:

kashiro925 wrote:what is the answer if i divide  345 in 12 in binary?

345/12 = 28.75


and the equivalent of 28.75 in binary is  11100.11

thanks for this, you help a lot in my assignment HAHAH

kashiro925 wrote:

Admin wrote:

kashiro925 wrote:what is the answer if i divide  345 in 12 in binary?

345/12 = 28.75


and the equivalent of 28.75 in binary is  11100.11

thanks for this, you help a lot in my assignment HAHAH

you also need to study on how to convert. wag kang umasa lagi sa iba masakit ang umasa.

If i have 152 so the equivalent of this in binary is 10011000. can anyone confirm this?

abby wrote:If i have 152 so the equivalent of this in binary is 10011000. can anyone confirm this?

Yes it is correct!

Why do we need to convert decimal and binary? Im sorry idk the importance of binary? San ba natin sya ginagamit?

kenken wrote:Why do we need to convert decimal and binary? Im sorry idk the importance of binary? San ba natin sya ginagamit?

need sya iconvert in binary kasi 2 numbers lang kay intindihin ng computers

At first this lesson make me dizzy but when you understand ,it will become basic

[quote="abby"]If i have 152 so the equivalent of this in binary is 10011000. can anyone confirm this?[/quote

Yes its correct nice work

kenken wrote:Why do we need to convert decimal and binary? Im sorry idk the importance of binary? San ba natin sya ginagamit?

we just use this to understand how computer works

I love this computations.. Atleast it has no complicated formulas

Yes we study this in order to know the different functions computer

why we need to divide

Easiest among all other types of conversion

Shortcut method can be utilized which makes it easier and faster to do

Mejo nakakalitoooo

What is the use of this?

computers are full of 0's and 1's

Thanks for the info!

Congrats!!!

The decimal or “denary” counting system uses the Base-of-10 numbering system where each digit in a number takes on one of ten possible values, called “digits”, from 0 to 9, eg. 21310 (Two Hundred and Thirteen).