Convert the decimal number 15 into a binary number.

Correct option is D

The decimal number 15 can be converted to binary by repeatedly dividing the number by 2 and recording the remainders. Starting with 15, the binary equivalent is:
· 15 ÷ 2 = 7, remainder 1
· 7 ÷ 2 = 3, remainder 1
· 3 ÷ 2 = 1, remainder 1
· 1 ÷ 2 = 0, remainder 1
Reading the remainders from bottom to top, the binary representation of 15 is 1111.
Important Key Points:
1. Binary numbers consist of only 0s and 1s, representing powers of 2.
2. The binary number 1111 represents 1×23+1×22+1×21+1×20=8+4+2+1=15.
Knowledge Booster:
· 1001 is the binary representation for 9.
· 1100 is the binary representation for 12.
· 1010 is the binary representation for 10.
· 1000 is the binary representation for 8.