Convert the follwing numbers from octal to binary form 622ei

Convert the follwing numbers from octal to binary form.

622eight = ____two

1001010100two=_____eight

Convert the following number from decial form to the given base.

89 to base five.

89=____five

Convert the number from binary form to hexadeciaml form.

1000111000two=_____sixteen

Solution

622₍₈₎ = (110)(010)(010)₍₂₎ = 110010010₍₂₎ .

1001010100₍₂₎ = (1)(001)(010)(100) , we first group the numbers into set of 3 from the left .

Then (001)(001)(010)(100) add two zeros at the left of the first ungrouped 1 to complete the group.

then find octal equvalent of each group and write them side-by-side and this the octal numebr .

So our one is (1)(1)(2)(4) = 1124₍₈₎ .

NOw the equivalent number of 89 in base five system will be

5 | 89 |

85 ---> 4

----

17

15 ---> 2

-----

3. So, the number is 324₍₅₎ .

## 1000111000₍₂₎ = (10)(0011)(1000) --> (0010)(0011)(1000) = (2)(3)(8) = 238₍₁₆₎ .