Prévia do material em texto
Step of 10 2.05DP The number conversion formula from any radix to decimal (radix 10) is Where, Radix of the number P =Digits to the left of the radix point and n to the right Step of 10 (a) The given binary number, 1101011, The conversion from the binary to decimal number is as follows, =64+32+8+2+1 =107 Thus, the required decimal number of the given binary number is 107, Step of 10 (b) The given octal number, The conversion from octal number to decimal number is as follows, =63,491 Thus, the required decimal equivalent of the given octal number is Step 10 (c) The given binary number, 10110111, The conversion from the binary to decimal number is as follows, =128+0+32+16+0+4+2+1 =183 Thus, the required decimal equivalent of the given binary number is 183, Step 10 (d) The given octal number, The conversion from octal number to decimal number is as follows, =55.3125 Thus, the required decimal equivalent of the given octal number is Step 10 (e) The given binary number, 10100.1101, The conversion from the binary to decimal number is as follows, =20.8125 Thus, the required decimal equivalent of the given octal number is 20.8125, Step of 10 (f) The given hexadecimal number, The conversion from the hexadecimal to decimal number is as follows, =61,440+768+160+5 =62,373 Thus, the required decimal equivalent of the given hexadecimal number is Step of 10 (g) The given number, 12010, The decimal equivalent of the given number is determined as follows, =81+54+0+3+0 =138 Thus, the required decimal equivalent of the given number is 138, (h) The given hexadecimal number, The decimal equivalent of the given hexadecimal number is determined as follows, =43,837 Thus, the required decimal equivalent of the given hexadecimal number is Step of 10 (i) The given octal number, 7156, The decimal equivalent of the given octal number is determined as follows, =3584+64+40+6 =3,694 Thus, the required decimal equivalent of the given octal number is Step 10 (j) The given hexadecimal number, The decimal equivalent of the given hexadecimal number is determined as follows, =348.21875 Thus, the required decimal equivalent of the given hexadecimal number is