HotelInfantesAgres - Bawat tanong, may sagot. Logo

In Math / Senior High School | 2025-07-09

convert the following to decimal number system then check 111100110101011_10​

Asked by roselynroma36

Answer (1)

Answer:Ang ibinigay na numero,  111100110101011 , ay nasa binary number system (base-2). Upang i-convert ito sa decimal number system (base-10), kailangan nating i-multiply ang bawat digit sa kaukulang power of 2 at i-add ang mga resulta. Una, isulat natin ang numero na may kaukulang powers of 2: 1 x 2¹³ + 1 x 2¹² + 1 x 2¹¹ + 1 x 2¹⁰ + 0 x 2⁹ + 0 x 2⁸ + 1 x 2⁷ + 1 x 2⁶ + 0 x 2⁵ + 1 x 2⁴ + 0 x 2³ + 1 x 2² + 0 x 2¹ + 1 x 2⁰ Pagkatapos, gawin ang multiplication at addition: 8192 + 4096 + 2048 + 1024 + 0 + 0 + 128 + 64 + 0 + 16 + 0 + 4 + 0 + 1 = 15563 Samakatuwid, ang decimal equivalent ng binary number  111100110101011  ay 15563. Walang "check" na ibinigay sa tanong, kaya ito na ang final answer.

Answered by cemelyn4589 | 2025-07-09