1008 in Hex

Decimal 1008 in hex form conversion provides the detailed information on what is the hex equivalent of (1008)10, and the step-by-step solution using the most simple method for how to convert decimal (base-10) number 1008 to its hex (base-16) equivalent.

(1008)10 in hex is equal to:
(1008)10 = (?)16

Perform successive MOD-16 operation for decimal 1008, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 1008	1008 / 16 = 63	Remainder is 0 → LSB
MOD-16 of 63	63 / 16 = 3	Remainder is 15
MOD-16 of 3	3 / 16 = 0	Remainder is 3 → MSB

Arrange the remainders of MOD-16 of 1008 from MSB to LSB (3 15 0) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 1008.

Decimal	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
Hex	1	2	3	4	5	6	7	8	9	A	B	C	D	E	F

Decimal 3 in hex is 3 → MSB
Decimal 15 in hex is F
Decimal 0 in hex is 0 → LSB

= 3F0
1008₁₀ = 3F0₁₆

Hence,
1008 in hex is 3F0

where,
1008₁₀ is the given decimal number,
10 in 1008₁₀ represents the base-10 or decimal number system,
3F0₁₆ is the hex equivalent of the decimal 1008,
16 in 3F0₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (1008)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 1008 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 1008 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 1008 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 1008 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 1008.