Decimal Arithmetic & Conversion
Binary :
Octal :
Hex :
15
HISTORY
Decimal 15 to Binary Conversion
What is 15 decimal in binary? - converter, chart & solved example problem with step by step workout for how to carry out decimal 15 to binary conversion manually. The base-10 value of 1510 is equal to
base-2 value of 11112.
In different representation
1510 = 11112
15 = 0b1111
| Decimal | Binary | Hex |
|---|---|---|
| 13.5 | 1101.1 | D.8 |
| 14 | 1110 | E |
| 14.5 | 1110.1 | E.8 |
| 15 | 1111 | F |
| 15.5 | 1111.1 | F.8 |
| 16 | 10000 | 10 |
| 16.5 | 10000.1 | 10.8 |
| 17 | 10001 | 11 |
Work to Find What is 15 Decimal in Binary
The below is the example problem with step by step work to find what is 15 decimal in binary.
15 Decimal To Binary Conversion:
step 1 Perform the successive MOD operation by 2 for the given decimal number 15 and note down the remainder (either 0 or 1) for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).
15 / 2 = 7 : Remainder is 1 → LSB
7 / 2 = 3 : Remainder is 1
3 / 2 = 1 : Remainder is 1
1 / 2 = 0 : Remainder is 1 → MSB
step 2 Write the remainders from MSB to LSB provide the equivalent binary number
1111
1510 = 11112
15 Decimal To Binary Conversion:
step 1 Perform the successive MOD operation by 2 for the given decimal number 15 and note down the remainder (either 0 or 1) for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).
15 / 2 = 7 : Remainder is 1 → LSB
7 / 2 = 3 : Remainder is 1
3 / 2 = 1 : Remainder is 1
1 / 2 = 0 : Remainder is 1 → MSB
step 2 Write the remainders from MSB to LSB provide the equivalent binary number
1111
1510 = 11112
