8004 in Hex

Decimal 8004 in hex form conversion provides the detailed information on what is the hex equivalent of (8004)10, and the step-by-step solution using the most simple method for how to convert decimal (base-10) number 8004 to its hex (base-16) equivalent.

(8004)10 in hex is equal to:
(8004)10 = (?)16

Perform successive MOD-16 operation for decimal 8004, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 8004	8004 / 16 = 500	Remainder is 4 → LSB
MOD-16 of 500	500 / 16 = 31	Remainder is 4
MOD-16 of 31	31 / 16 = 1	Remainder is 15
MOD-16 of 1	1 / 16 = 0	Remainder is 1 → MSB

Arrange the remainders of MOD-16 of 8004 from MSB to LSB (1 15 4 4) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 8004.

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 15 in hex is F
Decimal 4 in hex is 4
Decimal 4 in hex is 4 → LSB

= 1F44
8004₁₀ = 1F44₁₆

Hence,
8004 in hex is 1F44

where,
8004₁₀ is the given decimal number,
10 in 8004₁₀ represents the base-10 or decimal number system,
1F44₁₆ is the hex equivalent of the decimal 8004,
16 in 1F44₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (8004)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 8004 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 8004 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 8004 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 8004 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 8004.