Thread: Number conversions

to binary

to decimal

to hexadecimal

Thanks.

Hello, Dean!

to binary

Since 16 is a power of 2, there is a special trick we can use.

Convert each hexidecimal digit into its (four-digit) binary equivalent.
. . For example: .


We have: .
. . . . . . .


Answer: .

to decimal

We have: .

. .

. .

to hexadecimal

I did this one in two stages.

The integer: . . (use your favorite method)


The decimal: . . (This will take a while)

. . Let

Multiply by 16: .
. . Hence: .

We have: . .[1]
Multiply by 16: .
. . Hence: .

We have: .
Multiply by 16: .
. . Hence: .

We have: .
Multiply by 16: .
. . Hence: .

We have: .
Multiply by 16: .
. . Hence: .

We have: .
Multiply by 16: .
. . Hence: .

We have: .
. . But this brings us back to [1].
Hence, the decimal has a repeating cycle: .


Answer: .


But someone check my work . . . please!