378 in Hex

Decimal 378 in hex conversion provides the detailed information on what is the hex equivalent of (378)10, and the step-by-step work for how to convert the decimal (base-10) number 378 to its hex (base-16) equivalent.

(378)10 in hex is equal to:
(378)10 = (?)16

Perform successive MOD-16 operation for decimal 378, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 378	378 / 16 = 23	Remainder is 10 → LSB
MOD-16 of 23	23 / 16 = 1	Remainder is 7
MOD-16 of 1	1 / 16 = 0	Remainder is 1 → MSB

Arrange the remainders of MOD-16 of 378 from MSB to LSB (1 7 10) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 378.

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 7 in hex is 7
Decimal 10 in hex is A → LSB

= 17A
378₁₀ = 17A₁₆

Hence,
378 in hex is 17A

where,
378₁₀ is the given decimal number,
10 in 378₁₀ represents the base-10 or decimal number system,
17A₁₆ is the hex equivalent of the decimal 378,
16 in 17A₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (378)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 378 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 378 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 378 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 378 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 378.