Question

What is the base 10 representation of the number 1046(with an 8 underneath it)

A. 500
B. 520
C. 550
D. 580

Answer 1

1046 octal

= 6 + 4*8 + 0 + 1*8^3

= 550 decimal

Its C

Answer 2

Option c

Explanation:

Given is a number in base 8

The number is
`1046`

We have to convert it into decimal number i.e. base 10

We know that any number has value as

`Unit digit (1) +tenth digit (a) + 100th digit (a^2) +1000th digit (a^3)`

where a may take values as 8 or 10 according to base

Hence the given number

`1046 = 1(8^3)+0(8^2)+4(8)+6\\= 512+32+6\\= 550`

Thus in decimal this equals 550

Option c is right