Convert the following numbers 74 8 to decimal 74 16 to decim

Convert the following numbers: 74_ 8 to decimal. 74_ 16 to decimal. 7C_ 16 to decimal. BAD_ 16 FOOD_ 16 to binary. 0011001110100011_ 2 to hexadecimal.

Solution

a) 74₈ to decimal

7×8¹+4×8 = 60

b) 74₁₆ to decimal

7×16¹+4×16 = 116

c) 7×16¹+12×16 = 124

d) First converting hexadecimal to decimal and then decimal to binary will give

1011 1010 1101 1111 0000 0000 1101

e) 33A3

This is obtained after dividing the set into set of 4 numbers then converting them to decimal and then from decimal to corresponding hexadecimal values