Decimal Arithmetic & Conversion
Binary :
Octal :
Hex :
16
HISTORY
Decimal 16 to Binary Conversion
What is 16 decimal in binary? - converter, chart & solved example problem with step by step workout for how to carry out decimal 16 to binary conversion manually. The base-10 value of 1610 is equal to
base-2 value of 100002.
In different representation
1610 = 100002
16 = 0b10000
| Decimal | Binary | Hex |
|---|---|---|
| 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 |
| 17.5 | 10001.1 | 11.8 |
| 18 | 10010 | 12 |
Work to Find What is 16 Decimal in Binary
The below is the example problem with step by step work to find what is 16 decimal in binary.
16 Decimal To Binary Conversion:
step 1 Perform the successive MOD operation by 2 for the given decimal number 16 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).
16 / 2 = 8 : Remainder is 0 → LSB
8 / 2 = 4 : Remainder is 0
4 / 2 = 2 : Remainder is 0
2 / 2 = 1 : Remainder is 0
1 / 2 = 0 : Remainder is 1 → MSB
step 2 Write the remainders from MSB to LSB provide the equivalent binary number
10000
1610 = 100002
16 Decimal To Binary Conversion:
step 1 Perform the successive MOD operation by 2 for the given decimal number 16 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).
16 / 2 = 8 : Remainder is 0 → LSB
8 / 2 = 4 : Remainder is 0
4 / 2 = 2 : Remainder is 0
2 / 2 = 1 : Remainder is 0
1 / 2 = 0 : Remainder is 1 → MSB
step 2 Write the remainders from MSB to LSB provide the equivalent binary number
10000
1610 = 100002
