Question

Convert a decimal no. system (1020.1)10 into a hexadecimal no. system. Explain step by step.

Answer 1

Answer:

Explanation:

1. divide the decimal by 16
2. record the remainder from step 1 as the rightmost digit (least significant digit) of the new number base.
3. divide the quotient of the previous division by the new base number.
4. record the number from step 3 as the next digit

repeat steps 3 and 4, recording remainders from right to left until the quotient becomes zero in step 3.

eg:

16| 1020 ---- B (as hexadecimal has the range of 0-9 and A-F)

16| 63 ----- E

16| 3 ---- 3

16| - ---- 0

hence, $1020_{10}$ = $BE30_{16}$

please mark me as brainlist as it took a lot of time :)