The binary equivalent of 1895 is : 0000 0111 0110 0111

$$(1895)_{10}=(0000~0111~0110~0111)_2$$

To convert the decimal number 1895 to binary, we can repeatedly divide by 2 and keep track of the remainders. Here’s the process:

1. 1895 ÷ 2 = 947, remainder 1
2. 947 ÷ 2 = 473, remainder 1
3. 473 ÷ 2 = 236, remainder 1
4. 236 ÷ 2 = 118, remainder 0
5. 118 ÷ 2 = 59, remainder 0
6. 59 ÷ 2 = 29, remainder 1
7. 29 ÷ 2 = 14, remainder 1
8. 14 ÷ 2 = 7, remainder 0
9. 7 ÷ 2 = 3, remainder 1
10. 3 ÷ 2 = 1, remainder 1
11. 1 ÷ 2 = 0, remainder 1

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

$$(1895)_{10} = (0000~0111~0110~0111)_2$$

So, the binary equivalent of 1895 is : 0000 0111 0110 0111.