Question

Give the following number in Base 16NO LINKS!!! ​

Answer 1

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       ↑

=====

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