6. How many bits are needed to represent the numbers below? 29010 88810 45010 11010 7. With 12 bits, what range of numbers (in DEC) can be represented in the 2's complements?
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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 218Question 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. 100000101. 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.
- Suppose RO contains "Ox02145321" and R1 contains "Ox00200020", and the C bit of the APSR is set to 1. What is the value of R2 after the following line executes? (enter this value in decimal) ADD R2, R1, ROQuestion 1 [Svalan i (a) Determine the largest number for Octal number that can be expressed with 4-bit. Convert the number to a Binary number and Gray code. Table 1 shows five (5) set of numbers that represented in BCD number. Convert the numbers into Decimal number and by using Appendix 1, decode the numbers into ASCII coded message. (b) Table 1 Set A 10011000 Set B 01010001 Set C 00110110 Set D 10000100 Set E 00100111 Determine the simplified Sum-of-Product (SOP) expression for the given expression by using Karnaugh map. (c) Р(4, В,С, D) - яМ(3,7,12,13,14,15) D(5,6,11)3.12 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 bit
- Set the “Carry” and “Overflow” bits for each of the following. a. 00011011 + 00010000 = 00101011, b. 00010010 + 11110010 = 100000100, c. 01010111 + 01001110 = 10100101, d. 11001000 + 10110110 = 101111110Q1/The binary number ( 1011011011011.1110111001101)= ( ) in octal number *Problem 4 1-13.* Convert the following binary numbers to their equivalent decimal values. (a) 110012 Show Procedure (b) 1001.10012 (c) 10011011001.101102
- The binary number 1010 0011 is an ?even or odd? number that has?even or odd? parity?dont use others answers show your work step by step short answer Suppose we are given the following subset of binary words, created for a 7-bit memory word with one parity bit: 11100110, 00001000, 10101011, and 11111110. Does this code use even or odd parity? Explain in 1-2 sentences.Q1. Convert the BCD number (100001000111.1001)Bcd into its equivalent Hexa-decimal number.