58 in Hex

Decimal 58 in hex conversion provides the detailed information on what is the hex equivalent of (58)10, and the step-by-step work for how to convert the decimal (base-10) number 58 to its hex (base-16) equivalent.

(58)10 in hex is equal to:
(58)10 = (?)16

Perform successive MOD-16 operation for decimal 58, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 58	58 / 16 = 3	Remainder is 10 → LSB
MOD-16 of 3	3 / 16 = 0	Remainder is 3 → MSB

Arrange the remainders of MOD-16 of 58 from MSB to LSB (3 10) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 58.

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 3 in hex is 3 → MSB
Decimal 10 in hex is A → LSB

= 3A
58₁₀ = 3A₁₆

Hence,
58 in hex is 3A

where,
58₁₀ is the given decimal number,
10 in 58₁₀ represents the base-10 or decimal number system,
3A₁₆ is the hex equivalent of the decimal 58,
16 in 3A₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (58)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 58 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 58 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 58 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 58 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 58.