Question

2.) What is the largest positive number in decimal, that can be represented using 8 bits?

Each groups of binary numbers can be represented more compactly in base-16 numbering, which is called hexadecimal. The hexadecimal digits are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F.

3.) What range of positive decimal numbers can one hexadecimal digit represent?

Colors on a computer monitor are represented by 6 hexadecimal numbers, the first pair to the left specifies the amount of red to display, the middle pair of numbers specify the amount of green, and the right pair of numbers specify the amount of blue to display.

4.) What is the value in the decimal (base-10) system, of the color green?

5.) What is the decimal value of the color blue?

6.) What is the largest (decimal) number that can be represented in 6 hexadecimal digits? What does that tell you about the number of different colors a computer monitor can display?

7.) Add the hexadecimal numbers 0A19 and 351B.

2.) What is the largest positive number in decimal, that can be represented using 8 bits?

Each groups of binary numbers can be represented more compactly in base-16 numbering, which is called hexadecimal. The hexadecimal digits are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F.

3.) What range of positive decimal numbers can one hexadecimal digit represent?

Colors on a computer monitor are represented by 6 hexadecimal numbers, the first pair to the left specifies the amount of red to display, the middle pair of numbers specify the amount of green, and the right pair of numbers specify the amount of blue to display.

4.) What is the value in the decimal (base-10) system, of the color green?

5.) What is the decimal value of the color blue?

6.) What is the largest (decimal) number that can be represented in 6 hexadecimal digits? What does that tell you about the number of different colors a computer monitor can display?

7.) Add the hexadecimal numbers 0A19 and 351B.

Answer 1

2. Positive numbers using 8 bits are represented with 1 bit(most significant bit) for sign of the number. The remaining 7 bits are used to represent the number.

Hence using 7 bits, the largest number should have 1's in all 7 bits. For 1111111 decimal equivalent is 127.

Therefore largest positive decimal number that can be represented using 8 bits is +127.

3. Hexadecimal digit is represented using 4 binary bits. The most significant bit determines the sign of the number. Therefore remaining 3 bits are used to represent the number.

Hence the range of positive decimal numbers represented by single hexadecimal digit is 0 to 7.

4. Hexadecimal value of color green is 0x00FF00. It's decimal equivalent is 65280.

5. Hexadecimal value of color blue is 0x0000FF. It's decimal equivalent is 255.

6. The largest decimal number represented using 6 hexadecimal digits(I.e in hexadecimal it is 0xFFFFFF) is 16777215. Hence with 6 hexadecimal digits number of different colours a computer monitor can display is 16777216.