123 in Hex

Decimal 123 in hex conversion provides the detailed information on what is the hex equivalent of (123)10, and the step-by-step work for how to convert the decimal (base-10) number 123 to its hex (base-16) equivalent.

(123)10 in hex is equal to:
(123)10 = (?)16

Perform successive MOD-16 operation for decimal 123, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 123	123 / 16 = 7	Remainder is 11 → LSB
MOD-16 of 7	7 / 16 = 0	Remainder is 7 → MSB

Arrange the remainders of MOD-16 of 123 from MSB to LSB (7 11) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 123.

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 7 in hex is 7 → MSB
Decimal 11 in hex is B → LSB

= 7B
123₁₀ = 7B₁₆

Hence,
123 in hex is 7B

where,
123₁₀ is the given decimal number,
10 in 123₁₀ represents the base-10 or decimal number system,
7B₁₆ is the hex equivalent of the decimal 123,
16 in 7B₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (123)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 123 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 123 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 123 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 123 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 123.