Question

Convert (123)5 to hexadecimal.

Answer 1

`26_(16)`

Step-by-step explanation:

We can obtain the hexadecimal value using an indirected way, first we will convert it to decimal:

`(1*5^2+2*5^1+3*5^0)=38_(10)`

having the decimal number we have to divide that number multiple times by 16 and get a record of the quotient and reminder, until the quotient is equal to zero.

`38| 16`

`quotient_1=2\\remainder_1=6`

`2| 16`

`quotient_2=0\\remainder_2=2`

Now we will take the remainders and get the hexadecimal value and put them together. (remember, the hexadecimal number are defined from 0 to F, being A=10, B=11, C=12, D=13, E=14, F=15)

`remainder_1=6\\hex_1=6`

`remainder_2=2\\hex_2=2`

The hexadecimal number is 26