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
Answers
Answered by
3
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
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