508 in Hex

Decimal 508 in hex conversion provides the detailed information on what is the hex equivalent of (508)10, and the step-by-step work for how to convert the decimal (base-10) number 508 to its hex (base-16) equivalent.

(508)10 in hex is equal to:
(508)10 = (?)16

Perform successive MOD-16 operation for decimal 508, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 508	508 / 16 = 31	Remainder is 12 → LSB
MOD-16 of 31	31 / 16 = 1	Remainder is 15
MOD-16 of 1	1 / 16 = 0	Remainder is 1 → MSB

Arrange the remainders of MOD-16 of 508 from MSB to LSB (1 15 12) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 508.

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 1 in hex is 1 → MSB
Decimal 15 in hex is F
Decimal 12 in hex is C → LSB

= 1FC
508₁₀ = 1FC₁₆

Hence,
508 in hex is 1FC

where,
508₁₀ is the given decimal number,
10 in 508₁₀ represents the base-10 or decimal number system,
1FC₁₆ is the hex equivalent of the decimal 508,
16 in 1FC₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (508)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 508 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 508 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 508 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 508 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 508.