1 votes 1 votes (1101)x = (241)16 x = ? Digital Logic test-series digital-logic number-system + – rsansiya111 asked Nov 8, 2022 • retagged Jul 5, 2023 by Hira Thakur rsansiya111 649 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes ans should be 8 x*x*(x+1)=576 8*8*9=576 Chandrabhan Vishwa 1 answered Nov 8, 2022 Chandrabhan Vishwa 1 comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes $(1101)_x=(241)_{16}$ can be written as: $1*x^0+0*x^1+1*x^2+1*x^3=1*16^0+4*16^1+2*16^2$ $x^3+x^2+1=577$ $x^3+x^2=576$ $\because 8^3=512,$if we put $x=8$ we get: $8^3+8^2=576$ So the base/radix value is $x=8$ Hira Thakur answered Nov 8, 2022 Hira Thakur comment Share Follow See 1 comment See all 1 1 comment reply rsansiya111 commented Nov 8, 2022 reply Follow Share Check do this on also !!!! Look up each hexadecimal digit to obtain the equivalent group of four binary digits. You can use the table to make these conversions. (2)16 = (0010)2 (4)16 = (0100)2 (1)16 = (0001)2 Group each value and remove zeros at left (if necessary) to get the partial result in base 2: 0010 0100 0001 = 1001000001 So, (241)16 = (1001000001)2 Rearange all the digits in sets of three starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of three. 001 001 000 001 Use the table below to convert each set of three into an octal digit. In this case, 001=1, 001=1, 000=0, 001=1. So, 1101 is the octal equivalent of hexadecimal number 241 (Answer). 0 votes 0 votes Please log in or register to add a comment.