Q1. a) Complete the following table of equivalent values. Binary Octal Decimal Hexadecimal 11.1875 b) Use 8 bits Decimal Signed Magnitude Two's complement One's Complement 11110100 c) For the following addition use 2's complement representation. S=A + B, where A=(+6),0 and B=(+5),0

Answer the D, E and F part

Problem 2 a) Convert each of the following binary numbers to octal and hexadecimal forms: (show your work) (1111110000.1)2 (10100110)2 (101100011001)2 b) Express each of the following octal/hexadecimal numbers in binary and decimal forms: (show your work) (7765)s (FB17)16 (A14)16 c) Convert each of the following decimal numbers to BCD: (128)10 (547)10 (1051)10

Q3/ Design binary adder that add three BCD numbers (1-digit) using CPAS. Q4/ Design a counter which count in the following sequence 0, 2, 4, 6, 8, 10, 12, 14 using T- F.F.

Answer n,o,p

Add in binary: 1111 and 1001. O a. 11111. O b. 10110. C. 1111. O d. 11000.

a) Convert the decimal number - 222 into a signed binary number using (1) sign-magnitude method (2) 1's complement method (3) 2's complement method b) If the above decimal number is positive , that is + 222, then convert it to a signed binary number using 1 's complement method c) Do the following binary subtraction: 110100101.10111- 000001100.11010

Design a combinational circuit that takes 3-bit pattern as input and outputs binary code of bit position of the first 1' in the pattern reading from MSB (2nd position) to LSB (0th position).An additional output variable V is required along with binary code to indicate that the binary code is valid or note i.e., if the input pattern is '000' then the output V should be '0' to indicate that the binary code is not indicating the bit position of first 1' and we don't care about the binary code if V = 0. Design the required circuit using dual 4x1 MUXS and minimum additional logic.Available resources along with dual 4x1 MUXS are NOT gates, 2-input(AND, OR, NAND, NOR) gates.

Computing the following two numbers using signed 2’s complement form with 8 bits : (convert the two operands to a binary format)   +75 -52 ------   will generate a summation of:   a. 00110011     b. 00010011     c. 00010111     d. 10010011

Given the positive number 77. a)   Represent the number as an eight–bit number in two’s–complement form.          Also give the 2 character hexadecimal value. b) Represent the negative number –77 as an eight–bit number in two’s–complement form.          Also give the 2 character hexadecimal value. c) Add the binary result for a to b to verify you get an eight-bit value of zero!