502 in Hex

Decimal 502 in hex conversion provides the detailed information on what is the hex equivalent of (502)10, and the step-by-step work for how to convert the decimal (base-10) number 502 to its hex (base-16) equivalent.

(502)10 in hex is equal to:
(502)10 = (?)16

Perform successive MOD-16 operation for decimal 502, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 502	502 / 16 = 31	Remainder is 6 → 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 502 from MSB to LSB (1 15 6) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 502.

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 6 in hex is 6 → LSB

= 1F6
502₁₀ = 1F6₁₆

Hence,
502 in hex is 1F6

where,
502₁₀ is the given decimal number,
10 in 502₁₀ represents the base-10 or decimal number system,
1F6₁₆ is the hex equivalent of the decimal 502,
16 in 1F6₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (502)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 502 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 502 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 502 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 502 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 502.