766 in Hex

Decimal 766 in hex conversion provides the detailed information on what is the hex equivalent of (766)10, and the step-by-step work for how to convert the decimal (base-10) number 766 to its hex (base-16) equivalent.

(766)10 in hex is equal to:
(766)10 = (?)16

Perform successive MOD-16 operation for decimal 766, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 766	766 / 16 = 47	Remainder is 14 → LSB
MOD-16 of 47	47 / 16 = 2	Remainder is 15
MOD-16 of 2	2 / 16 = 0	Remainder is 2 → MSB

Arrange the remainders of MOD-16 of 766 from MSB to LSB (2 15 14) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 766.

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 15 in hex is F
Decimal 14 in hex is E → LSB

= 2FE
766₁₀ = 2FE₁₆

Hence,
766 in hex is 2FE

where,
766₁₀ is the given decimal number,
10 in 766₁₀ represents the base-10 or decimal number system,
2FE₁₆ is the hex equivalent of the decimal 766,
16 in 2FE₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (766)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 766 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 766 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 766 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 766 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 766.