Write the following decimal number in binary.

37

The binary representation of 37 is 100101.

To convert the decimal number 37 to binary, follow these steps:

Step 1: Divide 37 by 2.
37 ÷ 2 = 18 remainder 1

Step 2: Divide the quotient from step 1 (18) by 2.
18 ÷ 2 = 9 remainder 0

Step 3: Divide the quotient from step 2 (9) by 2.
9 ÷ 2 = 4 remainder 1

Step 4: Divide the quotient from step 3 (4) by 2.
4 ÷ 2 = 2 remainder 0

Step 5: Divide the quotient from step 4 (2) by 2.
2 ÷ 2 = 1 remainder 0

Step 6: Divide the quotient from step 5 (1) by 2.
1 ÷ 2 = 0 remainder 1

Step 7: Write down the remainders from bottom to top to get the binary equivalent.
The remainders are 100101, so the binary representation of 37 is 100101.