CS1400-Homework 2 Binary Codes and Arithmetic Solved
Fixed Point Codes:
1.1. Convert 512(8) into 32-bit two’s complement binary number.
1.2. Convert -512(10) into 32-bit two’s complement binary number.
1.3.Convert -87E524(16) into 32-bit two’s complement binary number.
1.4. Represent following numbers 517(10) , - 2048(8) , -4A9D(16) in :
® Binary sign magnitude code;
® Binary two’s complement code.
Remark: Use half word (16-bits) to present the binary numbers.
2. Fixed Point Arithmetic
2.1. What decimal number does this two’s complement binary number represent:
11111111 11011011
2.2. What decimal number does this two’s complement binary number represent:
11111111 11111111
2.3. What decimal number does this two’s complement binary number represent (present the answer in scientific notation):
01111111 11111111
2.4. Present the following binary numbers in Excess 127 and Excess 1023 code: 1001, -100011, -100101.
2.5 Perform the following operations, representing the decimal numbers in 8-bit two’s complement code. Fill in the flags C, N, Z, V. If the operations produce arithmetic overflow, eExplain how you have estimated the overflow.
