Generic selectors
Exact matches only
Search in title
Search in content
Post Type Selectors

# Convert the following numbers to Binary, Decimal, Hexadecimal

## i) Convert (F 329)10 in to Binary

To convert a decimal number to binary, you can repeatedly divide the decimal number by 2 and note the remainders. Reading the remainders from bottom to top gives the binary representation.

``````| Division       | Quotient | Remainder |
|----------------|----------|-----------|
| 329 ÷ 2        | 164      | 1         |
| 164 ÷ 2        | 82       | 0         |
| 82 ÷ 2         | 41       | 0         |
| 41 ÷ 2         | 20       | 1         |
| 20 ÷ 2         | 10       | 0         |
| 10 ÷ 2         | 5        | 0         |
| 5 ÷ 2          | 2        | 1         |
| 2 ÷ 2          | 1        | 0         |
| 1 ÷ 2          | 0        | 1         |``````

Reading the remainders from bottom to top, the binary representation of 329 is 101001001.

Therefore, (F329)10​ in binary is 101001001.

## ii) Convert (1526.32)10 in to hexadecimal

For the integer part, convert 1526 to hexadecimal:

``````| Division       | Quotient | Remainder (Hexadecimal) |
|----------------|----------|--------------------------|
| 1526 ÷ 16      | 95       | 6                        |
| 95 ÷ 16        | 5        | F                        |
| 5 ÷ 16         | 0        | 5                        |``````

Reading from bottom to top, the hexadecimal representation of the integer part is 5F6.

For the fractional part, convert 0.32 to hexadecimal:

``````| Multiplication | Result   | Result (Hexadecimal) |
|----------------|----------|-----------------------|
| 0.32 × 16      | 5.12     | 5                     |
| 0.12 × 16      | 1.92     | 1                     |
| 0.92 × 16      | 14.72    | E                     |``````

Combining the results, (1526.32)10​ in hexadecimal is 5F6.E.

## iii) Convert (736.4)8 in to Decimal

To convert an octal number to decimal, you can use the positional value of each digit.

(736.4)8 ​​=7×82+3×81+6×80+4×8−1

=448+24+6+0.5

=478.5​

Therefore, (736.4)8 ​ in decimal is 478.5.