What is binary number for the base-10 number 26?

Answer 1

Binary numbers can be worked out several ways.

If we think of a series of numbers under columns headed

16-8-4-2-1

Under each column a zero = 0, and a 1 means the number at the top of the column.

So, in binary you will have a series of 1's and O's

Reading from the left, for every 1 you take the base10 number which is above it,

and add together those base ten numbers for every column which has a 1 in it.

So here is

(a) a line of column values..... 16 8 4 2 1

(b) and binary number values: 1 1 0 1 0

The first binary number 1 will equal 16.

The next 1 means 8.

The third column is blank. This means zero.

The fourth column represents 2.

And the fifth column is another zero.

So, adding them all together, we get 16+8+0+2+0 = 26!

So the binary equivalent of the base ten '26' is 11010

Using the above method it is possible to work out the binary equivalent of any base ten number.