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# 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

© BrainMass Inc. brainmass.com March 22, 2019, 1:18 am ad1c9bdddf
https://brainmass.com/physics/classical-mechanics/binary-decimal-system-532536

#### Solution Preview

1.
a. 81_10 = 64 + 16 + 1 = 1010001_2.
b. 248_10 = 128 + 64 + 32 + 16 + 8 = 111111000_2.

2.
a. 47_8 = ...

#### Solution Summary

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

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