The binary equivalent of 151 is : 1001 0111

$$(151)_{10}=(1001~0111)_2$$

To convert the decimal number 151 to binary, we can repeatedly divide by 2 and keep track of the remainders. Here’s the process:

1. 151 ÷ 2 = 75, remainder 1
2. 75 ÷ 2 = 37, remainder 1
3. 37 ÷ 2 = 18, remainder 1
4. 18 ÷ 2 = 9, remainder 0
5. 9 ÷ 2 = 4, remainder 1
6. 4 ÷ 2 = 2, remainder 0
7. 2 ÷ 2 = 1, remainder 0
8. 1 ÷ 2 = 0, remainder 1

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

$$(151)_{10} = (1001~0111)_2$$

So, the binary equivalent of 151 is : 1001 0111.