Question

Why is base used to convert numbers from one number system to another?

Answer 1

Explanation:

Step 1 − Divide the decimal number to be converted by the value of the new base. Step 2 − Get the remainder from Step 1 as the rightmost digit (least significant digit) of new base number. Step 3 − Divide the quotient of the previous divide by the new base.

Answer 2

Explanation:

Binary to decimal= multiply by 2

Decimal to binary= divide by 2

Octal to decimal= Multiply by 8

Decimal to Octal= divide by 8

Hexadecimal to decimal= multiply by 16

Decimal to hexadecimal= decide by 16

Binary have base 2 (0,1).

Decimal have base 10 (0-9).

Octal have base 8( 0-7).

hexadecimal have base 16 ( 0-9 and ABCDEF).