Convert the following as specified DEC in hex to its decimal

Convert the following as specified DEC in hex to its decimal DEC in hex to BCD Convert (1001011101010010) in BCD to OCTAL Convert (7643)_8 to Hex.

Solution

1(a)

DEC in hex to its decimal

(DEC)₁₆ = ( )₁₀

= D*16²   +   E*16¹   + C*16⁰

= 13*256 + 14*16 + 12*1

= 3328 + 224 +12

= (3564)₁₀

b)

(DEC)₁₆ to BCD

(DEC)₁₆ = (3564)₁₀

(3564)₁₀ to BCD

3= 0011

5 = 0101

6 = 0110

4= 0100

BCD = 0011 0101 0110 0100

2(a)

1001 0111 0101 0010 BCD to octal

= 1001 =9, 0111=7, 0101=5, 0010 =2 from BCD to decimal =(9752)₁₀

= (9752)₁₀    to octal

                                             remainders

8|9752

8|1219                                     0

8|152                                       3

8|19                                         0

8|2                                           3

|0                                             2

taking remainders in reverse

=(23030)₈

b)

(7643)₈     to hex

7 = 111

6=110

4=100

3= 011

three bits for octal number

= 111 110 100 011

taking 4 bits to denote hexadecimal number

= 1111 1010 0011

= (FA3)     in hexadecimal

=(FA3)₁₆