687 in Hex

Decimal 687 in hex conversion provides the detailed information on what is the hex equivalent of (687)10, and the step-by-step work for how to convert the decimal (base-10) number 687 to its hex (base-16) equivalent.

(687)10 in hex is equal to:
(687)10 = (?)16

Perform successive MOD-16 operation for decimal 687, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 687	687 / 16 = 42	Remainder is 15 → LSB
MOD-16 of 42	42 / 16 = 2	Remainder is 10
MOD-16 of 2	2 / 16 = 0	Remainder is 2 → MSB

Arrange the remainders of MOD-16 of 687 from MSB to LSB (2 10 15) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 687.

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 2 in hex is 2 → MSB
Decimal 10 in hex is A
Decimal 15 in hex is F → LSB

= 2AF
687₁₀ = 2AF₁₆

Hence,
687 in hex is 2AF

where,
687₁₀ is the given decimal number,
10 in 687₁₀ represents the base-10 or decimal number system,
2AF₁₆ is the hex equivalent of the decimal 687,
16 in 2AF₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (687)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 687 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 687 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 687 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 687 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 687.