Question: Subject: BE 221 Digital Logic Design Due Date: 21 - June 2022 Assignment # 01(20 Points) Note: You will submit your assignments individually on MS

Subject: BE 221 Digital Logic Design Due Date: 21
Subject: BE 221 Digital Logic Design Due Date: 21 - June 2022 Assignment # 01(20 Points) Note: You will submit your assignments individually on MS Teams. Late submissions will not be accepted! Problem No-1 Convert the following numbers from the given base to the indicated bases in the table: Decimal Binary Octal Hexadec 757.25 ? ? 101 1001 1101.11 ? 7261.3 FACE. B Problem No-2 There is considerable evidence to suggest that base-20 has historically been used for number of systems in a number of cultures: a. Write the digits for base-20 system, using an extension of the same digit representation scheme employed for hexadecimal. b. Convert (2011hs to base-20 c. Convert (BEE. 1)20 to decimal. Problem No-3 Given the two unsigned numbers X=761, and Y=22056: a. Perform subtraction X-Y using 2's complement. b. Convert Base-12 c. Express the result in 10-bit signed-magnitude, signed-two's complement, and signed-one's complement forms. Problem No-4 Given the two unsigned numbers X= -58. and Y= 6510, perform subtraction X-Y using 1's complement method. Problem No-5 Because A-B=A+(-B), the subtraction of signed numbers can be accomplished by adding the complement. Subtract the given binary numbers by adding the complement of the subtrahend to the minuend. Indicate when an overflow occurs. Assume that negative numbers are represented in 2's complement. a. 01001-11010 b. 11010-11001 Convert your answer in decimal. Problem No-6 Given the signed numbers X=+458, and Y=-480,. perform addition X+Y in BCD using 10's complement method

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