Fixed Point Codes:

1.1. Convert 512₍₈₎ into 32-bit twos complement binary number.

1.2. Convert -512₍₁₀₎ into 32-bit twos complement binary number.

1.3.Convert -87E524₍₁₆₎ into 32-bit twos complement binary number.

1.4. Represent following numbers 517₍₁₀₎ , 2048₍₈₎ , -4A9D₍₁₆₎ in :

• Binary sign magnitude code;

• Binary twos complement code.

Remark: Use half word (16-bits) to present the binary numbers.

2. Fixed Point Arithmetic

2.1. What decimal number does this twos complement binary number represent:

11111111 11011011

2.2. What decimal number does this twos complement binary number represent:

11111111 11111111

2.3. What decimal number does this twos complement binary number represent (present the answer in scientific notation):

01111111 11111111

• Present the following binary numbers in Excess 127 and Excess 1023 code: 1001, -100011, -100101.

• Perform the following operations, representing the decimal numbers in 8-bit twos complement code. Fill in the flags C, N, Z, V. If the operations produce arithmetic overflow, eExplain how you have estimated the overflow.

20 (+5); 127 + (126); 127 + ( 128);

-20 + (+ 64); -20 (+111); -127 (+ 2); 126 + ( 2).