Question

Hi there. I am having trouble with calculating in base 4. The problem is 2014-324=

Answer 1

Answer:

The required answer is $(201)_4-(32)_4=(103)_4$.

Step-by-step explanation:

Consider the provided numbers:

We need to subtract in base 4.

$(201)_4-(32)_4$

The place value of 201 is:

1 is at units place, 0 is at four's place and 2 is at 4 squared place.

The place value of 32 is:

2 is at units place and 3 is at four's place.

201

- 32

Start subtracting the numbers from the unit place.

Here, we need to subtract 2 from 1, which is not possible so borrow 4 from the four's place but there is 0 at four's place so borrow from 4 squared place and change 2 to 1.

Also change 0 to 4 because we have borrow 4 from squared place.

Now 1 can borrow 4 from the four's place which will become 1+4=5 and change 4 at four's place to 3.

Now the number will look like this:

135

- 32

Now subtract the number as shown.

135

- 32

103

Hence, the required answer is $(201)_4-(32)_4=(103)_4$.