Question

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

Answer 1

This is general conversation of decimal integer to hexadecimal integer

Let's check

• (35)_10

This is in decimal form

We know the ways to convert decimal into other forms like

• Binary—»Divide by 2
• Octal—»Divide by 8
• Hexadecimal —»Divide by 16

For third way

• 35/16=2

(2)_16 is one part

Next

• 35%16=3

3 is not divisible by 16

i.e

• 3%16=0

Hence

other part is (3)_16

Add (not general addition)

The final answer is

• (23)_16

Answer 2

`\large{\boxed{35_(10) = \sf 23_(16)}}`

Step-by-step 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)`