Bsc CSIT Semester 1 – Digital Logic – Unit 1: Binary Systems (6 Hrs.)

Given A=46 and B=35 represent them in binary and perform A-B using 1’s complement method.

Perform the following operations:a. (011101)2-(110011)2 using 2's complementb. (89344)10-(98654)10 using 9's complement

Carry out the following task

a. Preform 1’s complement subtraction 110101 - 100101
b. Represent decimal number 0.125 into its binary form Solution

Derive the Boolean expression for sum and carry of half adder. Draw its combinational circuit. Implement it using only NAND gates.

List two major characteristics of digital computer. Represent -6 (negative six) using 8 bits in signed magnitude, signed-1's-complement and signed-2's-complement respectively. Represent decimal number 4673 in a) octal, and b) BCD.

How binary addition is done? Show binary addition of (11001) with (11011).

Perform the arithmetic operation (+42)+(-13) and (-42)-(-13) in binary using the signed -2’s-complement representation for negative numbers.

Convert the following decimal numbers to the indicated bases.

$\quad$ a. 7562.45 to octal

$\quad$ b. 1938.257 to hexadecimal

$\quad$ c. 175.175 to binary