Question

6)
Which if the following is the hexadecimal equivalent of (2598.675)10
a. (B26.BDDD) 16
b. (A26.ACCC)16
c.(B25.BDDC)16
d. (A26.ADDC)16
​

Answer 1

Answer:

(A26.ACCC)₁₆

Step-by-step explanation:

(A26.ACCC)₁₆

= 10 * 16²  + 2 * 16¹  + 6 * 16⁰  +  10/16¹   + 12/16²  + 12/16³  + 12/16⁴

= 2560 + 32 + 6 + (16³ * 10  + 16²*12  + 16 * 12  + 12)/16⁴

= 2598 + ( 4096 + 3072 + 192 + 12)/16⁴

= 2598 + ( 44236)/16⁴

= 2598 + 0.6749

= 2598.675

(A26.ADDC)₁₆

= 10 * 16²  + 2 * 16¹  + 6 * 16⁰  +  10/16¹   + 12/16²  + 12/16³  + 12/16⁴

= 2560 + 32 + 6 + (16³ * 10  + 16²*13  + 16 * 13  + 12)/16⁴

= 2598 + ( 40960 + 3328 + 208 + 12)/16⁴

= 2598 + ( 44508)/16⁴

= 2598 + 0.679

B25  = 2853    B26 = 2854 so ignored