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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

https://brainmass.com/physics/classical-mechanics/binary-decimal-system-532536

## SOLUTION This solution is FREE courtesy of BrainMass!

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

2.
a. 47_8 = 100111_2.
b. 214_8 = 10001100_2.

3.
a. BA3_16 = 101110100011_2.
b. F3B4_16 = 1111001110110100_2.

4.
a. 11101101101101_2 = 1 + 4 + 8 + 32 + 64 + 256 + 512 + 2048 + 4096 + 8192 = 15197_10.
b. 10001101101011_2 = 1 + 2 + 8 + 32 + 64 + 256 + 512 + 8192 = 9067_10.

5.
a. 3CF2_16 = 11110011110010_2 = 36362_8.
b. B7F23_16 = 10110111111100100011_2 = 2677443_8.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!