Decimal 42 in hex conversion provides the detailed information on what is the hex equivalent of
(42)10, and the step-by-step work for how to convert the decimal (base-10) number 42 to its hex (base-16) equivalent.
(42)10 in hex is equal to:
(42)10 = (?)16
Perform successive MOD-16 operation for decimal 42, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-16 of 42 | 42 / 16 = 2 | Remainder is 10 → LSB |
MOD-16 of 2 | 2 / 16 = 0 | Remainder is 2 → MSB |
Arrange the remainders of MOD-16 of 42 from MSB to LSB
(2 10) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 42.
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 10 in hex is A →
LSB
= 2A
4210 = 2A16
Hence,
42 in hex is 2A
where,
42
10 is the given decimal number,
10 in 42
10 represents the base-10 or decimal number system,
2A
16 is the hex equivalent of the decimal 42,
16 in 2A
16 represents the base-16 or hexadecimal number system.
Important Notes: (42)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 42 into a (base-16) hexadecimal equivalent.
- The initial remainder of MOD-16 operation for 42 is a Least Significant Bit (LSB).
- The last remainder of MOD-16 operation for 42 is a Most Significant Bit (MSB).
- Arrange the reminders of mod-16 of 42 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 42.