answersLogoWhite

0


Best Answer

Binary numbers start with a column with the value of 1 on the right side. The next column, to the left, has double the value (which is 2), the next left doubles again (which is 4), then 8, 16, 32, 64, 128 etc. The inclusion of a number 1 in a column means that the number should be included in the total. The inclusion of a zero in a column means that the number should not be counted. Using just this combination of 1s and 0s any number can be represented. For example...
1 = 1
2 = 10
3 = 11
4 = 100
10 = 1010
15 = 1111
65 = 1000001

To convert the numbers from binary to decimal you can simply use a calculator and starting at the right side of the binary number if the first digit is 1 then add 1 to your calculator. If it is zero don't add anything, move left to the next column, if there is a 1 in this column add 2 to your total on your calculator, if it is a zero don't add anything, continue doing this, doubling the value for each column and adding the number if there is a 1 and ignoring it if there is a zero. For example....
The binary number 1100, starting at the right has 0 in the 1 column, 0 in the 2 column, 1 in the 4 column and 1 in the 8 column, so you would ignore 1 and 2 and simply add 4 + 8, giving your a value of 12, which is correct.

User Avatar

Wiki User

15y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you work out a binary number into a decimal?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Express the decimal number 57 in binary?

The binary value of the decimal number 57 (fifty seven) is 00111001According to three different decimal to binary converters I tried, the decimal number 57 is expressed in binary as 111001. Being able to convert to binary is important because binary is what computers work in.


What is the binary number for the decimal number 101?

The decimal number 101 is represented by the binary number 1100101.


What decimal number is represented by the binary number?

Every decimal number can be represented by a binary number - and conversely.


What is the binary number for decimal 245?

The binary equivalent of the decimal number 245 is 11110101.


What is the binary of decimal number for 123?

decimal [ 123 ] = binary [ | | | | 0 | | ]


What is the decimal number 11 in binary?

Decimal 11 = binary 1011


What is the decimal number of the binary number 13 in the OCT counting system?

There is no decimal number for the binary number 13 because 13 cannot be a binary number.


What is the binary equivalent of the decimal number 131?

The binary equivalent of the decimal number 131 is 10000011.


What is the decimal conversion of the binary number 1111111111111111?

The decimal equivalent of the binary number 1111111111111111 is 65535.


What is the binary number 111111010 in decimal?

Expressed in decimal, the binary number 111111010 represents 506.


How do you convert decimal number 63 to binary?

The binary equivalent of the decimal number 63 is 111111.


What is the binary equivalent of the decimal number 14?

The binary equivalent of the decimal number 14 is 00001110.