507 in Hex

Decimal 507 in hex conversion provides the detailed information on what is the hex equivalent of (507)10, and the step-by-step work for how to convert the decimal (base-10) number 507 to its hex (base-16) equivalent.

(507)10 in hex is equal to:
(507)10 = (?)16

Perform successive MOD-16 operation for decimal 507, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 507	507 / 16 = 31	Remainder is 11 → 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 507 from MSB to LSB (1 15 11) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 507.

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 11 in hex is B → LSB

= 1FB
507₁₀ = 1FB₁₆

Hence,
507 in hex is 1FB

where,
507₁₀ is the given decimal number,
10 in 507₁₀ represents the base-10 or decimal number system,
1FB₁₆ is the hex equivalent of the decimal 507,
16 in 1FB₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (507)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 507 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 507 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 507 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 507 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 507.