1245 in Hex

Decimal 1245 in hex form conversion provides the detailed information on what is the hex equivalent of (1245)10, and the step-by-step solution using the most simple method for how to convert decimal (base-10) number 1245 to its hex (base-16) equivalent.

(1245)10 in hex is equal to:
(1245)10 = (?)16

Perform successive MOD-16 operation for decimal 1245, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 1245	1245 / 16 = 77	Remainder is 13 → LSB
MOD-16 of 77	77 / 16 = 4	Remainder is 13
MOD-16 of 4	4 / 16 = 0	Remainder is 4 → MSB

Arrange the remainders of MOD-16 of 1245 from MSB to LSB (4 13 13) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 1245.

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 4 in hex is 4 → MSB
Decimal 13 in hex is D
Decimal 13 in hex is D → LSB

= 4DD
1245₁₀ = 4DD₁₆

Hence,
1245 in hex is 4DD

where,
1245₁₀ is the given decimal number,
10 in 1245₁₀ represents the base-10 or decimal number system,
4DD₁₆ is the hex equivalent of the decimal 1245,
16 in 4DD₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (1245)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 1245 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 1245 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 1245 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 1245 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 1245.