2 votes 2 votes The binary number 10011101 is equal to the hexadecimal number (a) 103 (b) 76 (c) 67 (d) - 67 Digital Logic number-representation digital-logic + – DIEGO_ asked May 13, 2016 DIEGO_ 8.4k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 4 votes 4 votes 10011101 Case 1 - If the given binary number is unsigned then the hexadecimal equivalent of 1001 1101 = 9D. Case 2- If we consider signed binary number as MSB of the given binary number is 1 so its a negative number so we can write it as - ( 2's complement of 10011101) = - ( 0110 0011) = -63 in Hexa. vijaycs answered May 13, 2016 • selected Jul 18, 2016 by pC vijaycs comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments Hira Thakur commented Aug 31, 2016 reply Follow Share can we solve the above binary number using booth algorithm?? 0 votes 0 votes Priyanka Agarwal commented Jun 5, 2017 i reshown by Priyanka Agarwal Jun 6, 2017 reply Follow Share 9D is the correct answer 0 votes 0 votes AnilGoudar commented Jun 5, 2017 reply Follow Share @Priyanka, The given number of bits are 8. Then maximum number that can be represented using n bits is (2n - 1) . Therefore (28 - 1 ) = 127 in decimal, but if we convert given binary to decimal number (1001 1101) = 157 which is larger than 127, by this we can say that given representation is a 2's complement of some number. This will be stored as 2's complement number. 2's complement of (1001 1101) = -(0110 0011) = -63 in hexadecimal system. -63 is the correct answer. Please correct me if I am wrong. 0 votes 0 votes Please log in or register to add a comment.
