Decimal 8421 in hex form conversion provides the detailed information on what is the hex equivalent of
(8421)10, and the step-by-step solution using the most simple method for how to convert decimal (base-10) number 8421 to its hex (base-16) equivalent.
(8421)10 in hex is equal to:
(8421)10 = (?)16
Perform successive MOD-16 operation for decimal 8421, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
| MOD-16 of 8421 | 8421 / 16 = 526 | Remainder is 5 → LSB |
| MOD-16 of 526 | 526 / 16 = 32 | Remainder is 14 |
| MOD-16 of 32 | 32 / 16 = 2 | Remainder is 0 |
| MOD-16 of 2 | 2 / 16 = 0 | Remainder is 2 → MSB |
Arrange the remainders of MOD-16 of 8421 from MSB to LSB
(2 0 14 5) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 8421.
| 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 2 in hex is 2 →
MSBDecimal 0 in hex is 0
Decimal 14 in hex is E
Decimal 5 in hex is 5 →
LSB
= 20E5
842110 = 20E516
Hence,
8421 in hex is 20E5
where,
8421
10 is the given decimal number,
10 in 8421
10 represents the base-10 or decimal number system,
20E5
16 is the hex equivalent of the decimal 8421,
16 in 20E5
16 represents the base-16 or hexadecimal number system.
Important Notes: (8421)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 8421 into a (base-16) hexadecimal equivalent.
- The initial remainder of MOD-16 operation for 8421 is a Least Significant Bit (LSB).
- The last remainder of MOD-16 operation for 8421 is a Most Significant Bit (MSB).
- Arrange the reminders of mod-16 of 8421 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 8421.