Question

The 8's complement of the octal number (5670)8 is

Answer 1

Answer:

(2110)₈

1096

Explanation:

The 8's complement of the octal number (5670)8 is

First we fill find 7's complement number as 7 is the largest digit in octal system

so 7's complement number  =  (7777  - 5670)₈=  (2107)₈

so 8's complement number = 7's complement number + 1

= (2107)₈ + (1)₈

= (2110)₈

The 8's complement of the octal number (5670)₈ is (2110)₈

(2110)₈ = 2*8³ + 1*8² + 1 *8¹ + 0 * 8⁰  = 1024 + 64 + 8 = 1096

Another way to solve

8⁴ = 4096  ( as 4 digit number)

(5670)₈  = 5*8³ + 6*8² + 7 *8¹ + 0 * 8⁰  = 2560 + 384 + 56 = 3000

4096 - 3000 = 1096

1096 = (2110)₈

Answer 2

Answer:

"To find the '8's complement of an octal number, we must first find its '7's complement as 7 is the most significant number in the octal system. After that, we must add one to the answer making the total 8 and thus finding the '8's complement while doing so.  

In this case, the '8's complement of the number 5670 is 2110 in the octal number system, and the answer is 1096 in the decimal number system.

Explanation: