Question

(1) Convert this Hexadecimal to Binary, Octal and Decimal : ABCDEF

(2) how the representation of each of these numbers in both two’s complement and sign magnitude formats. Use the following assumptions: ● Assume that the sign magnitude number should be represented in the fewest number of bits possible. ● Assume that the sign bit for negative sign magnitude numbers should be a 1. ● Assume that the two’s complement numbers should be 8 bit numbers. 1. 108 2. -65

Answer 1

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Convert Hexadecinal to binary. A B CD EF A o is 10 en Decimal 2110 تو رو به 5 1 (1010), = (10) = (A) 16 10 (A B C D E F 16 (1010 1011 1100 1101 11101111 e Convert in octal) make 3 bet pair from LSB of Binary representation (1010 1011 1100 110 1 1 1 10 ) (58746757)8

③ Convert to Decimal CABCDEF16 (11759375) 10X169 +11X164 + 12*16* + 13x16? + 1kqXI6'+15216 11259375 02 @ 108 sign magnitude 01101100 sign bit o for positive number A LE 1 1 for negative number tot) a's Complement DUO you positive number sign magnitude and p's compliment have Dume representation 0110 1100 LoL - 65 Find Signed frost rag. binary of 60 which is 0100 0001 MSB at ASB 4 LSB Now put 그 1 101000001 - 68 in signed magnitude

o's Compliment fost Find Binary representation of 65 01000001 No. Now find als Compliment of binary No i's compliment = 10111110 d's compliment = 1011111. +1 10111111 $o - 65 in a's Complinent = 1o111111