Question

В) Выполнить умножение: а) 100111(2) * 1000111(2) = б) 1170,64(8) * 46,3(8) = в) 61,A(16) * 40,D(16 объясните

Answer 1

Решение на фотографии. Подробное объяснение по умножению в системах счисления в другой фотографии.

Answer 2

a) Выполнить умножение: 100111(2) * 1000111(2)

To multiply two binary numbers, we can use the long multiplication method. Here's how we can multiply 100111(2) by 1000111(2):

   100111
 * 1000111
  ________
   100111   (Partial product: 100111)
  0000000   (Partial product: 0000000, shifted one place to the left)
 10011100   (Partial product: 100111, shifted two places to the left)
100111000   (Partial product: 100111, shifted three places to the left)
  ________
1100011001

Therefore, 100111(2) multiplied by 1000111(2) equals 1100011001(2).

б) Выполнить умножение: 1170,64(8) * 46,3(8)

To multiply two octal numbers, we can use the long multiplication method. Here's how we can multiply 1170,64(8) by 46,3(8):

   1170,64
 *   46,3
  ________
   7023,84   (Partial product: 1170,64 * 3)
  5852,28    (Partial product: 1170,64 * 4, shifted one place to the left)
 23409,12    (Partial product: 1170,64 * 6, shifted two places to the left)
  ________
 54000,2448

Therefore, 1170,64(8) multiplied by 46,3(8) equals 54000,2448(8).

в) Выполнить умножение: 61,A(16) * 40,D(16)

To multiply two hexadecimal numbers, we can use the long multiplication method. Here's how we can multiply 61,A(16) by 40,D(16):

   61,A
 *  40,D
  _______
   1854A   (Partial product: 61,A * D)
  12360    (Partial product: 61,A * 0, shifted one place to the left)
 61,A00    (Partial product: 61,A * 4, shifted two places to the left)
 _______
 24C0D6A

Therefore, 61,A(16) multiplied by 40,D(16) equals 24C0D6A(16).

In summary: - 100111(2) * 1000111(2) = 1100011001(2) - 1170,64(8) * 46,3(8) = 54000,2448(8) - 61,A(16) * 40,D(16) = 24C0D6A(16)