509 in Hex

Decimal 509 in hex conversion provides the detailed information on what is the hex equivalent of (509)10, and the step-by-step work for how to convert the decimal (base-10) number 509 to its hex (base-16) equivalent.

(509)10 in hex is equal to:
(509)10 = (?)16

Perform successive MOD-16 operation for decimal 509, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 509	509 / 16 = 31	Remainder is 13 → 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 509 from MSB to LSB (1 15 13) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 509.

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 13 in hex is D → LSB

= 1FD
509₁₀ = 1FD₁₆

Hence,
509 in hex is 1FD

where,
509₁₀ is the given decimal number,
10 in 509₁₀ represents the base-10 or decimal number system,
1FD₁₆ is the hex equivalent of the decimal 509,
16 in 1FD₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (509)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 509 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 509 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 509 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 509 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 509.