503 in Hex

Decimal 503 in hex conversion provides the detailed information on what is the hex equivalent of (503)10, and the step-by-step work for how to convert the decimal (base-10) number 503 to its hex (base-16) equivalent.

(503)10 in hex is equal to:
(503)10 = (?)16

Perform successive MOD-16 operation for decimal 503, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 503	503 / 16 = 31	Remainder is 7 → 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 503 from MSB to LSB (1 15 7) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 503.

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 7 in hex is 7 → LSB

= 1F7
503₁₀ = 1F7₁₆

Hence,
503 in hex is 1F7

where,
503₁₀ is the given decimal number,
10 in 503₁₀ represents the base-10 or decimal number system,
1F7₁₆ is the hex equivalent of the decimal 503,
16 in 1F7₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (503)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 503 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 503 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 503 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 503 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 503.