748 in Hex

Decimal 748 in hex conversion provides the detailed information on what is the hex equivalent of (748)10, and the step-by-step work for how to convert the decimal (base-10) number 748 to its hex (base-16) equivalent.

(748)10 in hex is equal to:
(748)10 = (?)16

Perform successive MOD-16 operation for decimal 748, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 748	748 / 16 = 46	Remainder is 12 → LSB
MOD-16 of 46	46 / 16 = 2	Remainder is 14
MOD-16 of 2	2 / 16 = 0	Remainder is 2 → MSB

Arrange the remainders of MOD-16 of 748 from MSB to LSB (2 14 12) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 748.

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 14 in hex is E
Decimal 12 in hex is C → LSB

= 2EC
748₁₀ = 2EC₁₆

Hence,
748 in hex is 2EC

where,
748₁₀ is the given decimal number,
10 in 748₁₀ represents the base-10 or decimal number system,
2EC₁₆ is the hex equivalent of the decimal 748,
16 in 2EC₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (748)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 748 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 748 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 748 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 748 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 748.