427 in Hex

Decimal 427 in hex conversion provides the detailed information on what is the hex equivalent of (427)10, and the step-by-step work for how to convert the decimal (base-10) number 427 to its hex (base-16) equivalent.

(427)10 in hex is equal to:
(427)10 = (?)16

Perform successive MOD-16 operation for decimal 427, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 427	427 / 16 = 26	Remainder is 11 → LSB
MOD-16 of 26	26 / 16 = 1	Remainder is 10
MOD-16 of 1	1 / 16 = 0	Remainder is 1 → MSB

Arrange the remainders of MOD-16 of 427 from MSB to LSB (1 10 11) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 427.

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 10 in hex is A
Decimal 11 in hex is B → LSB

= 1AB
427₁₀ = 1AB₁₆

Hence,
427 in hex is 1AB

where,
427₁₀ is the given decimal number,
10 in 427₁₀ represents the base-10 or decimal number system,
1AB₁₆ is the hex equivalent of the decimal 427,
16 in 1AB₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (427)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 427 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 427 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 427 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 427 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 427.