1. Divide the decimal number 1024 by 16: 1024 ÷ 16 = 64 with a remainder of 0

2. Divide the quotient (64) by 16: 64 ÷ 16 = 4 with a remainder of 0

3. Divide the new quotient (4) by 16: 4 ÷ 16 = 0 with a remainder of 4

4. Write down the remainder in reverse order: 0 0 4

Thus, the hexadecimal equivalent of the decimal number 1024 is 400