Decimal 640 in octal conversion provides the detailed information on what is the octal equivalent of (640)10, and the step-by-step work for how to convert the decimal (base-10) number 640 to its octal (base-8) equivalent.
(640)10 in octal is equal to:
(640)10 = (?)8
Perform successive MOD-8 operation for decimal 640, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 640 | 640 / 8 = 80 | Remainder is 0 → LSB |
MOD-8 of 80 | 80 / 8 = 10 | Remainder is 0 |
MOD-8 of 10 | 10 / 8 = 1 | Remainder is 2 |
MOD-8 of 1 | 1 / 8 = 0 | Remainder is 1 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 640.
64010 = 12008
Hence,
640 in octal is 1200
where,
640
10 is the given decimal number,
10 in 640
10 represents the base-10 or decimal number system,
1200
8 is the octal equivalent of the decimal 640,
8 in 1200
8 represents the base-8 or octal number system.
Important Notes: (640)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 640 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 640 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 640 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 640 should be written from MSB to LSB to form the octal equivalent for the given decimal number (640)10.