In the field below, enter the binary result of the following calculation. The numbers are given 8-bit 2's complement format, and can be positive or negative. Your answer should also be provided as 8-bit 2's complement format. 11000100+ 11010100 = ? I
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- 1. An arithmetic system operates with 3-digit decimal numbers with sign presented in BCD (12 bits), negative numbers utilize the 10's complement form, one decimal digit (4 bits) is occupied by sign: 0 for "+" and 9 for "-". 1a) Show the most positive and the most negative numbers in both decimal and BCD forms. 1b) Present numbers A=+36 and B= -42 in BCD. 1c) Present the 10's complements of A and B in BCD. 1d) Perform the following operations bit-by-bit, show carries, apply BCD correction (add 6) when necessary (the sum of two decimal digits is greater than 9). 1d1) A+B in BCD. 1d2) A - B = A+(-B) in BCD by addition of A and the 10's complement of B. 1d3) B-A= B + (-A) in BCD by addition of B and the 10's complement of A.QUESTION 1 In digital system, the number system is used to represent the information and the system has different bases. Define the term of sign bit in a binary number. Convert the number 100110102 into Hexadecimal. Convert the number 125, into Decimal. a) b) c) d) i) ii) iii) Convert the following numbers into the respective code. Show all steps in the calculations. i) ii) 27 into Gray Code. 11011010₂ into Binary Coded Decimal (BCD). Using 8-bit 2's complement number system, show the arithmetic operation of the following expressions: 01111001BCD - 258 i) ii) -49-2B16 Draw the logic circuit for output F in the following expression by using NAND gates only. F = ABC + ACb) There are five binary or hexadecimal numbers and six decimal conversions. Draw a line to connect each binary/hexadecimal to decimal number. Binary/Hexadecimal Decimal 4E 78 11011010 157 10011101 167 A7 25 19 218
- Question 1 Perform the following numbering conversion and arithmetic. Show all the steps clearly. а) i) 12BF.FC916 to Decimal number ii) Add these two Octal numbers 4568 and 3578. Convert the answer into Binary number. iii) Add these two Decimal numbers of 243 and 87 in Binary Coded Decimal (BCD). Give the answer in 16-bit BCD form. b) Determine the -91 10 dan -11710 as an 8-bit number in the sign magnitude, l's complement and 2's complement forms. Table 1 shows THREE (3) set of Gray Code's number. Convert the Gray code into Binary numbers and their corresponding ASCII Codes. c) Table 1 Set A 00110111 Set B 00100011 Set C 01100000Question 3 Given two eight bit strings of bits: A=10110001 and B-10101100, Perform AND operation on these numbers a. 10001000 b. 10100000 c. 11100001 d. 10000010Convert the binary NUMBER 11111110001.01110 to decimal number (Show the steps in paper, scan and submit along with other answers) Decimal no = Convert the decimal number 14678.972167969 into a HEX NUMBER showing the steps (Note: The problem should be solved in separate paper with steps and scanned copy should be submitted along with other answers Final answer must be entered in the boxes provided below. For Hexadecimal digits from A to F, enter their equivalent decimal value in the corresponding box; do not enter the letter; (For eg, if answer is A, then enter 10, for B, enter 11 and so on) Enter only one digit in each box. Also fill the unused boxes with zeros) However, in your written submissions, use the letters A to F instead of the values The integer part = The fractional part =
- Problem 4 1-13.* Convert the following binary numbers to their equivalent decimal values. (a) 110012 Show Procedure (b) 1001.10012 (c) 10011011001.101102Convert the following number into binary number to octal and then to decimal. Answer all the question and provide step by step solution. a) 11011100.101010 b) 01010011.010101 c) 10110011Design a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W X Y Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'C
- Design a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W XY Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'C3.12 Find the binary 2's complement of each given decimal number. Your result should have the number of bits indicated. Show your work to receive full credit. a) (-11) 10. Use 6 bits including the sign bit. b) (-26) 10. Use 8 bits including the sign bit. c) (+56) 10. Use 8 bits including the sign bitQ1/The binary number ( 1011011011011.1110111001101)= ( ) in octal number *