CPSC1050_Data representation 2

Which of the following characters are not represented in the ASCII character set?

• non-English characters

• non-printable characters such as ESC (escape) and DEL (delete)

What causes numeric overflow?

• using fixed-sized numbers in a floating-point calculation

• using a radix point in a fixed-sized number calculation

• a calculation producing a value that won't fit into the allotted space

• a calculation producing an invalid result

Convert 7.25 in decimal to binary. Keep 4 bits for the integer part and 2 bits for the fractional part.

(a)  

Convert 24.125 in decimal to binary. Keep 5 bits for the integer part and 3 bits for the fractional part.

(a)  

Convert -10 to binary in Two's Complement (8 bits):

• 00001010

• 11110101

• 11110110

• 10001010

Convert -37 to binary in Two's Complement (8 bits):

(a)  

Interpret 11110010 as a two's complement binary number, and give its decimal equivalent

(a)  

Interpret 10011100 as a two's complement binary number, and give its decimal equivalent.

(a)  

What is the equivalent of 101.101₁₀ in binary?

• 101.101₂

• 1100101.101₂

• 1100101.00011₂

• 1100101.11000₂

Convert -123₁₀ from decimal to binary using two's complement. How many bits are needed?

• 10000101₂, 8 bits

• 1101₂, 4 bits

• 01111011₂, 8 bits