The binary equivalent of 826 is : 0000 0011 0011 1010

$$(826)_{10}=(0000~0011~0011~1010)_2$$

To convert the decimal number 826 to binary, we can repeatedly divide by 2 and keep track of the remainders. Here’s the process:

1. 826 ÷ 2 = 413, remainder 0
2. 413 ÷ 2 = 206, remainder 1
3. 206 ÷ 2 = 103, remainder 0
4. 103 ÷ 2 = 51, remainder 1
5. 51 ÷ 2 = 25, remainder 1
6. 25 ÷ 2 = 12, remainder 1
7. 12 ÷ 2 = 6, remainder 0
8. 6 ÷ 2 = 3, remainder 0
9. 3 ÷ 2 = 1, remainder 1
10. 1 ÷ 2 = 0, remainder 1

Now, reading the remainders from the bottom up, we get:

$$(826)_{10} = (0000~0011~0011~1010)_2$$

So, the binary equivalent of 826 is : 0000 0011 0011 1010.