421 in Hex

Decimal 421 in hex conversion provides the detailed information on what is the hex equivalent of (421)10, and the step-by-step work for how to convert the decimal (base-10) number 421 to its hex (base-16) equivalent.

(421)10 in hex is equal to:
(421)10 = (?)16

Perform successive MOD-16 operation for decimal 421, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 421	421 / 16 = 26	Remainder is 5 → 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 421 from MSB to LSB (1 10 5) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 421.

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 5 in hex is 5 → LSB

= 1A5
421₁₀ = 1A5₁₆

Hence,
421 in hex is 1A5

where,
421₁₀ is the given decimal number,
10 in 421₁₀ represents the base-10 or decimal number system,
1A5₁₆ is the hex equivalent of the decimal 421,
16 in 1A5₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (421)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 421 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 421 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 421 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 421 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 421.