Solution - Base conversion

$${\left(2820\right)}_{10}$$

Since the source base is 10, no expansion change is needed.

$$2820$$

The source is already base 10, so the base-10 value stays $$2,820$$.

$$2820\left(base10\right)$$

Use repeated division by the target base.

$$\frac{2820}{16}$$

Record quotient and remainder for this division cycle.

$$2820=16\cdot 176+4$$

Record quotient and remainder for this division cycle.

$$176=16\cdot 11+0$$

Record quotient and remainder for this division cycle.

$$11=16\cdot 0+11$$

Read remainders from last to first to form target-base digits.

$$B04$$

Final converted representation in the target base.

$${\left(B04\right)}_{16}$$

Repeatedly divide $$2,820$$ by $$16$$, collect remainders, and read them in reverse to get $$B04$$.