From the binary number 2's Complement (10011001), write it as a decimal number. andj specify the + and -)
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- b) 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 2181. 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.Convert 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) 10110011
- Q1. Convert the BCD number (100001000111.1001)Bcd into its equivalent Hexa-decimal number.Q4/ The decimal 793.251)= ( number O 1431.200 O No one of them 1431.204 number ( O 1341.200 O 1341.201 ) in octala) Convert the decimal number - 239 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 + 239, then convert it to a signed binary number using 1 's complement method c) Do the following binary subtraction: 101111111.01111- 001011010.10110 d)Explain Types of RAM?
- 6. Express the following gray code numbers as binary numhers: a) 100111100 b) 0110101 c) 10110010101 7. Express the following decimal numbers as 2421 codes: a) 168 b) 6735 c) 9021 d) 254Q2 (a) Assuming that decimal numbers can be represented using 8-bits binary, express the decimal number -108 using binary number system as shown in Table Q2(a). Show the steps accordingly. Table Q2(a) Decimal : -108 Sign-number l's complement 2'nd complementQUESTION 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 + AC
- 21. Express the decimal number -37 as an 8-bit number in sign-magnitude. a. 10100101 b. 00100101 c. 11011000 d. 11010001Design 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'CQ4/ The decimal 793.251)= ( number 1431.204 number ( O 1431.200 O No one of them 1341.200 O 1341.201 ) in octal