Decimal 742 in hex conversion provides the detailed information on what is the hex equivalent of
(742)10, and the step-by-step work for how to convert the decimal (base-10) number 742 to its hex (base-16) equivalent.
(742)10 in hex is equal to:
(742)10 = (?)16
Perform successive MOD-16 operation for decimal 742, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-16 of 742 | 742 / 16 = 46 | Remainder is 6 → LSB |
MOD-16 of 46 | 46 / 16 = 2 | Remainder is 14 |
MOD-16 of 2 | 2 / 16 = 0 | Remainder is 2 → MSB |
Arrange the remainders of MOD-16 of 742 from MSB to LSB
(2 14 6) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 742.
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 14 in hex is E
Decimal 6 in hex is 6 →
LSB
= 2E6
74210 = 2E616
Hence,
742 in hex is 2E6
where,
742
10 is the given decimal number,
10 in 742
10 represents the base-10 or decimal number system,
2E6
16 is the hex equivalent of the decimal 742,
16 in 2E6
16 represents the base-16 or hexadecimal number system.
Important Notes: (742)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 742 into a (base-16) hexadecimal equivalent.
- The initial remainder of MOD-16 operation for 742 is a Least Significant Bit (LSB).
- The last remainder of MOD-16 operation for 742 is a Most Significant Bit (MSB).
- Arrange the reminders of mod-16 of 742 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 742.