The problem is to convert denary numbers (decimal numbers) from 1 to 15 into binary numbers. Also, we are asked to write out the place holders for binary numbers.

1. Problem Description

The problem is to convert denary numbers (decimal numbers) from 1 to 15 into binary numbers. Also, we are asked to write out the place holders for binary numbers.

2. Solution Steps

First, we need to determine the place values for binary numbers. Since we are converting numbers from 1 to 15, we need a maximum of 4 binary digits (bits). The place values are $2^3, 2^2, 2^1, 2^0$, which are 8, 4, 2, and

1.

Now, we convert each denary number from 1 to 15 to its binary equivalent:

1 = 0001

2 = 0010

3 = 0011

4 = 0100

5 = 0101

6 = 0110

7 = 0111

8 = 1000

9 = 1001

10 = 1010

11 = 1011

12 = 1100

13 = 1101

14 = 1110

15 = 1111

3. Final Answer

Place Holders: 8, 4, 2, 1

Binary values:

1 = 0001

2 = 0010

3 = 0011

4 = 0100

5 = 0101

6 = 0110

7 = 0111

8 = 1000

9 = 1001

10 = 1010

11 = 1011

12 = 1100

13 = 1101

14 = 1110

15 = 1111