Let's look at an example. If you want to convert the number 100112 to decimal you can split up the number so each digit has an index associated to it:
4 3 2 1 0
1 0 0 1 1
We can then find the decimal value:
24 * 1 + 23 * 0 + 22 * 0 + 21 * 1 + 20 * 1 =
16 * 1 + 8 * 0 + 4 * 0 + 2 * 1 + 1 * 1 = 16 + 0 + 0 + 2 + 1 = 19
So what we need to do is to multiply each of the binary digits by the value of two raised to the index of the digit. This will give you the conversion from any binary number to a decimal number.
Take the number you wish to convert to binary and divide it by two over and over again - keeping the remainder of each division. Your first division's remainder will be the least significant bit and the last division's remainder will by the most significant bit.
Example: Convert 13 to a binary number:
13/2 = 6 R 1 (least significant bit)
6/2 = 3 R 0
3/2 = 1 R 1
1/2 = 0 R 1 (most significant bit)
Thus 13 = 1101
Example: Convert 1,352 to a binary number:
1352/2 = 676 R 0 (least significant bit)
676/2 = 338 R 0
338/2 = 169 R 0
169/2 = 84 R 1
84/2 = 42 R 0
42/2 = 21 R 0
21/2 = 10 R 1
10/2 = 5 R 0
5/2 = 2 R1
2/2 = 1 R0
1/2 = 0 R1 (most significant bit)
Thus 1352 =
101 0100 1000
Notice that you most significant bit will ALWAYS be a 1 (since 0101 = 101).
Multiply the right-most digit by 1, the second digit from the right by 2, the next by 4, etc. and add up all the results.
an algorithm that converts a decimal number to Binary Coded Decimal (BCD) representation.
with hexidecimal you neednt use as many chartictors to represent a number. in binary 15 would be 01111 where as in hex it would be E resulting in much quicker coding times
Write algorithms and draw a corresponding flow chart to convert a decimal number to binary equivalent?
A45C: Decimal = 42076 Octal = 122134
BB895C: Octal = 56704534 Decimal = 12290396
write a c++ program to convert binary number to decimal number by using while statement
convert 1101 to decimal
1011 to its decimal equivalent = 1011.0
-4.6 is already a fraction: a decimal fraction. Its rational equivalent is -46/10 which can be simplified, if required.
The decimal equivalent for 22.9 is 22.9. There is no need to convert it, as it is already in decimal form.
The decimal equivalent of the binary number 11101 is 29.
To convert a fraction to a decimal, divide the denominator into the numerator.
.44623
0.893
1.1
Binary 110111 is equivalent to decimal 55.
This Binary Wil Be Equivalent to 629760 in decimal.
It already is a decimal. (Hence the "." in the middle of the number).
Convert 189 to binary number