Decimal 123 in hex conversion provides the detailed information on what is the hex equivalent of
(123)10, and the step-by-step work for how to convert the decimal (base-10) number 123 to its hex (base-16) equivalent.

__(123)10 in hex is equal to:__

(123)10 = (?)16

Perform successive MOD-16 operation for decimal 123, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 123 | 123 / 16 = 7 | Remainder is 11 → LSB |

MOD-16 of 7 | 7 / 16 = 0 | Remainder is 7 → MSB |

Arrange the remainders of MOD-16 of 123 from MSB to LSB

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 7 in hex is 7 →

Decimal 11 in hex is B →

= 7B

123

Hence,

123

10 in 123

7B

16 in 7B

The below are some of the important notes to be remembered while converting the (base-10) decimal number 123 into a (base-16) hexadecimal equivalent.

- The initial remainder of MOD-16 operation for 123 is a Least Significant Bit (LSB).
- The last remainder of MOD-16 operation for 123 is a Most Significant Bit (MSB).
- Arrange the reminders of mod-16 of 123 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 123.