Decimal 7 in octal conversion provides the detailed information on what is the octal equivalent of (7)10, and the step-by-step work for how to convert the decimal (base-10) number 7 to its octal (base-8) equivalent.
(7)10 in octal is equal to:
(7)10 = (?)8
Perform successive MOD-8 operation for decimal 7, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 7 | 7 / 8 = 0 | Remainder is 7 → LSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 7.
710 = 78
Hence,
7 in octal is 7
where,
7
10 is the given decimal number,
10 in 7
10 represents the base-10 or decimal number system,
7
8 is the octal equivalent of the decimal 7,
8 in 7
8 represents the base-8 or octal number system.
Important Notes: (7)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 7 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 7 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 7 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 7 should be written from MSB to LSB to form the octal equivalent for the given decimal number (7)10.