(e) Fill out the following table for 2 signed numbers' addition. 1's Complement Addition for two 4-bit binary numbers Overflow Value in Decimal 1's Complement 1001 (-6) +1101 (-2) 0111 yes 7 2's Complement 1001 (-7) +1101 (-3) 0110 yes 6
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- 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. 10010011Q1/The binary number ( 1011011011011.1110111001101)= ( ) in octal number *Using 8-bit 2s complement arithmetic add 11111101 to 11010110? (Numbers are already in 2s complement form.)
- Subtract the following 16-bit binary numbers. a. 11001011 00101000. - 10011110 01011011, b. 10111100 10111000, - 10011000 111100112Perform the addition of the following 8-bit 2's complement numbers using 2's complement arithmetic. (Reminder: 2's complement numbers are signed numbers.) a) 11001001 + 00110011 b) 10011011 + 01101111 c) 01011010 + 10110110 d) 11001000 + 11100101 Convert each result from the previous problem to signed decimal. Draw the block diagram of the circuit required to implement the operation in Problem 3.Grey converters are often used in industrial circuits where the normal sequence of binary numbers may produce ambiguity during transition. This is elliminated with the Grey code, as only one bit changes, during a normal transition of sequential numbers. Show the logic required to convert a 10-bit binary number to Gray code and use that logic to convert the following to Gray code: a) 1010101010 b) 1111100000 c) 0000001110 d) 1111111111
- Which of the following is the BCD code equivalent of the number 100111000 in the binary number system? A 001100010010 B 010000000111 C 001110010010 D 001101000110 E 001110000001Convert the following pairs of decimal numbers to 6-bit, signed 1's-complement binary numbers and add them. State whether or not overflow occurs in each case. (Please show the steps as we did in Lecture 2. You may not get points by just simply stating overflow or not) a) 8 and 23 b) -8 and 23 c) 18 and -23 d) -18 and -23 Repeat Problem #1 for 7-bit, signed 2's-complement binary numbers.What parity bit, P, should be added to the following data if the parity is EVEN? If the parity is ODD? a. 1111100 b. 1010110 c. 0001101
- 1. Gray code to Binary converter: Gray code is one of the codes used in digital systems. It has the advantage over binary numbers that only one bit in the code word changes when going from one number to the next. (See Table 1). Design a combinational circuit with 4 inputs and 4 outputs that converts a four- bit gray code number into an equivalent four-bit Binary number. Use Karnaugh map technique for simplification. Use LogicWorks for pre-lab demonstrations. Select the library "7400dev.clf* in the Parts Palette and then select the XOR chip 74-86. This would give you a set of 4 XOR's as shown in Fig. 1, just like the hardware chip 74-86. You could use as many as needed from these XOR gates in your design. Get back to ALL LIBRARIES and select switches for the inputs and Binary Probes as indicators of the outputs. Verify your design in the pre-Lab. During the Lab construct the circuit and verify its operations.Which one of the following binary numbers is NOT a valid 8-bit BCD number a. 0001 0101 b. 1001 0111 c. 0101 0100 d. 0110 1101Question 5 Find the 2's complement of the binary number 00110101 a. 01001010 b. 00011110 c. 11001011 d. 10101110