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What is the base 8 representation of the number 11100111^2

User Nsimeonov
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2 Answers

4 votes

Answer:

the answer is 347^8- C

User Schickb
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4 votes

Answer:

150161 in base 8.

= 347^2 base 8.

Explanation:

11100111^2

the last 4 digits of this binary number = 7 in base 10.

The number 11100000 in base 10 = 1*2^5 + 1*2^6 + 1*2^7

= 224 base 10

So 11100111 = 231 base 10.

231^2 = 53361.

Now convert this to base 8:

We divide by 8

8 | 53361

8 | 6670 remainder 1

8 | 833 rem 6

8 | 104 rem 1

8 | 13 rem 0

8 | 1 rem 5

| 0 rem 1

So the answer is 150161

User Phyrox
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4.6k points