Question

3. Memory and Storage

The GCSE Computer Science course requires that you
understand how decimal numbers are converted into
binary, and vice versa.
Can you convert the numbers 12, 24, 48 and 96 into binary form?​

Answer 1

1. 12 = 1100

2. 24 = 11000

3. 48 = 110000

4. 96 = 1100000

Step-by-step explanation:

A. 12 to binary;

12/2

12/2 = 6 R 0

6/2 = 3 R 0

3/2 = 1 R 1

1/2 = 0 R 1

12 base 10 = 1100 base 2.

B. 24 to binary;

24/2

24/2 = 12 R 0

12/2 = 6 R 0

6/2 = 3 R 0

3/2 = 1 R 1

1/2 = 0 R 1

24 base 10 = 11000 base 2.

C. 48 to binary;

48/2

48/2 = 24 R 0

24/2 = 12 R 0

12/2 = 6 R 0

6/2 = 3 R 0

3/2 = 1 R 1

1/2 = 0 R 1

48 base 10 = 110000 base 2.

D. 96 to binary;

96/2

96/2 = 48 R 0

48/2 = 24 R 0

24/2 = 12 R 0

12/2 = 6 R 0

6/2 = 3 R 0

3/2 = 1 R 1

1/2 = 0 R 1

96 base 10 = 1100000 base 2.

Note:

• R is remainder and you'll read it upward.
• Base 10 is decimal.
• Base 2 is binary.