# Binary and decimal system

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1. Convert the following decimal numbers to binary

a. 81_10

b. 248_10

2. Convert the following octal numbers to binary

a. 47_8

b. 214_8

3. Convert the following hexadecimal numbers tobinary

a. BA3_16

b. F3B4_16

4. Convert the following binary numbers to decimal numbers

a. 1 1 1 0 1 1 0 1 1 0 1 1 0 1

b. 1 0 0 0 1 1 0 1 1 0 1 0 1 1

5. Convert the following hexadecimal numbers to octal numbers

a. 3CF2_16

b. B7F23_16

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##### Solution Summary

In this solution, we convert several numbers between decimal, binary, octal and hexadecimal representations.

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1.

a. 81_10 = 64 + 16 + 1 = 1010001_2.

b. 248_10 = 128 + 64 + 32 + 16 + 8 = 111111000_2.

2.

a. 47_8 = ...

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