Quickly Convert Decimal To Binary In Your Head

So a 10 octal is equal to 8 decimal a 10 hex is equal to a 16 decimal.

Quickly convert decimal to binary in your head. This video gives a method to convert decimal numbers to binary numbers quickly. The second nibble adds up to 14 or e. Double dabble helps converting longer binary strings in your head and the only thing to remember is double the total and add the next digit.

The binary system is the internal language of electronic computers. Divide by 2 again you get 3 remainder 0 put the 0 to the side. This is how we would successfully convert a binary number into decimal which you can read about here but we actually want to do the reverse and easily convert decimal to binary.

There are two things you know about it. Also called doubling this method is actually an algorithm that can be applied to convert from any given base to decimal. I like this method because it gives.

E is 14 in decimal and it s in the 1000s position so you need to multiply it by 1000 hexadecimal or 4 096 decimal 16 x 16 x 16. We just use the no paper method because years of doing this made certain numbers and rules highly recognize able. That s 3 or 4 times fewer divisions and then you can very quickly convert to binary using a lookup table for the octal or hexadecimal digits.

Well the way i learned to convert decimal to binary was to divide by 2 and write the remainder down. You can convert to a different power of two base e g. Also memorizing all single digit hex or octal equivalents in decimal ie hex a is a decimal 10 b 11 c 12 d 13 etc.

Can you quickly convert from binary to decimal and back in your head. So 14 x 4 096 57 344 and you re on your way. If your answer is why the hell would i want to you already win.