3 years ago

Convert 208 in base 10 to binary number

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

3 0

Step-by-step explanation:

208

= 128 + 64 + 16

= 1 * 2⁷ + 1 * 2⁶ + 1 * 2⁴

= 11010000. (base 2)

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Answer:

$\large{\boxed{35_{10} = \sf 23_{16}}}$

Explanation:

$\sf Given : 35_{10}$

Compute:

35 ÷ 16 = 2.1875 = 2R3

2 ÷ 16 = 0.125 = 0R2

Jot down the remainders:

3 ↑

2 ↑

======

$\sf Answer : \ 35_{10} = 23_{16}$

$\hrulefill$

Let's look at another example: $\sf 325_{10} = [?]_{16}$

Compute:

325 ÷ 16 = 20.3125 = 20R5

20 ÷ 16 = 1.25 = 1R4

1 ÷ 16 = 0.0625 = 0R1

Jot down remainders:

5 ↑

4 ↑

1 ↑

=====

$\sf 325_{10} = [145]_{16}$

$\hrulefill$

Another example: $\sf 500_{10} = [?]_{15}$

Compute:

500 ÷ 15 = 33.33... = 33R5

33 ÷ 15 = 2.2 = 2R3

2 ÷ 15 = 0.13... = 0R2

Jot down remainders:

5 ↑

3 ↑

2 ↑

=====

$\sf 500_{10} = [235]_{15}$

7 0

2 years ago

Convert 208 in base 10 to binary number​

Convert 208 in base 10 to binary number